linear functions problem solving worksheet

Linear Functions Problems with Solutions

Linear functions are highly used throughout mathematics and are therefore important to understand. A set of problems involving linear functions , along with detailed solutions, are presented. The problems are designed with emphasis on the meaning of the slope and the y intercept.

Problem 1: f is a linear function. Values of x and f(x) are given in the table below; complete the table.

Problem 2: A family of linear functions is given by

Solution to Problem 2: a)

Problem 3: A high school had 1200 students enrolled in 2003 and 1500 students in 2006. If the student population P ; grows as a linear function of time t, where t is the number of years after 2003. a) How many students will be enrolled in the school in 2010? b) Find a linear function that relates the student population to the time t. Solution to Problem 3: a) The given information may be written as ordered pairs (t , P). The year 2003 correspond to t = 0 and the year 2006 corresponds to t = 3, hence the 2 ordered pairs (0, 1200) and (3, 1500) Since the population grows linearly with the time t, we use the two ordered pairs to find the slope m of the graph of P as follows m = (1500 - 1200) / (6 - 3) = 100 students / year The slope m = 100 means that the students population grows by 100 students every year. From 2003 to 2010 there are 7 years and the students population in 2010 will be P(2010) = P(2003) + 7 * 100 = 1200 + 700 = 1900 students. b) We know the slope and two points, we may use the point slope form to find an equation for the population P as a function of t as follows P - P1 = m (t - t1) P - 1200 = 100 (t - 0) P = 100 t + 1200

Problem 4: The graph shown below is that of the linear function that relates the value V (in $) of a car to its age t, where t is the number of years after 2000.

Problem 5: The cost of producing x tools by a company is given by

Problem 6: A 500-liter tank full of oil is being drained at the constant rate of 20 liters par minute. a) Write a linear function V for the number of liters in the tank after t minutes (assuming that the drainage started at t = 0). b) Find the V and the t intercepts and interpret them. e) How many liters are in the tank after 11 minutes and 45 seconds? Solution to Problem 6: After each minute the amount of oil in the tank deceases by 20 liters. After t minutes, the amount of oil in the tank decreases by 20*t liters. Hence if at the start there 500 liters, after t minute the amount V of oil left in the tank is given by V = 500 - 20 t b) To find the V intercept, set t = 0 in the equation V = 500 - 20 t. V = 500 liters : it is the amount of oil at the start of the drainage. To find the t intercept, set V = 0 in the equation V = 500 - 20 t and solve for t. 0 = 500 - 20 t t = 500 / 20 = 25 minutes : it is the total time it takes to drain the 500 liters of oil. c) Convert 11 minutes 45 seconds in decimal form. t = 11 minutes 45 seconds = 11.75 minutes Calculate V at t = 11.75 minutes. V(11.75) = 500 - 20*11.75 = 265 liters are in the tank after 11 minutes 45 seconds of drainage.

Problem 7: A 50-meter by 70-meter rectangular garden is surrounded by a walkway of constant width x meters.

Problem 8: A driver starts a journey with 25 gallons in the tank of his car. The car burns 5 gallons for every 100 miles. Assuming that the amount of gasoline in the tank decreases linearly, a) write a linear function that relates the number of gallons G left in the tank after a journey of x miles. b) What is the value and meaning of the slope of the graph of G? c) What is the value and meaning of the x intercept? Solution to Problem 8: a) If 5 gallons are burnt for 100 miles then (5 / 100) gallons are burnt for 1 mile. Hence for x miles, x * (5 / 100) gallons are burnt. G is then equal to the initial amount of gasoline decreased by the amount gasoline burnt by the car. Hence G = 25 - (5 / 100) x b) The slope of G is equal to 5 / 1000 and it represent the amount of gasoline burnt for a distance of 1 mile. c) To find the x intercept, we set G = 0 and solve for x. 25 - (5 / 100) x = 0 x = 500 miles : it is the distance x for which all 25 gallons of gasoline will be burnt.

Problem 9: A rectangular wire frame has one of its dimensions moving at the rate of 0.5 cm / second. Its width is constant and equal to 4 cm. If at t = 0 the length of the rectangle is 10 cm,

linear functions problem solving worksheet

Number Charts
Multiplication
Long division
Basic operations
Telling time
Place value
Roman numerals
Fractions & related
Add, subtract, multiply, and divide fractions
Mixed numbers vs. fractions
Equivalent fractions
Prime factorization & factors
Fraction Calculator
Decimals & Percent
Add, subtract, multiply, and divide decimals
Fractions to decimals
Percents to decimals
Percentage of a number
Percent word problems
Classify triangles
Classify quadrilaterals
Circle worksheets
Area & perimeter of rectangles
Area of triangles & polygons
Coordinate grid, including moves & reflections
Volume & surface area
Pre-algebra
Square Roots
Order of operations
Scientific notation
Proportions
Ratio word problems
Write expressions
Evaluate expressions
Simplify expressions
Linear equations
Linear inequalities
Graphing & slope
Equation calculator
Equation editor
Elementary Math Games
Addition and subtraction
Math facts practice
The four operations
Factoring and number theory
Geometry topics
Middle/High School
Statistics & Graphs
Probability
Trigonometry
Logic and proof
For all levels
Favorite math puzzles
Favorite challenging puzzles
Math in real world
Problem solving & projects
For gifted children
Math history
Math games and fun websites
Interactive math tutorials
Math help & online tutoring
Assessment, review & test prep
Online math curricula

Worksheets for simplifying expressions

Worksheets for evaluating expressions with variables

Worksheets for writing expressions with variables from verbal expressions

Worksheets for linear inequalities

Linear Equations Worksheets

Linear equations, one-step equations, one-step addition, one-step subtraction, one-step multiplication, multi-step equations, multi-step integers, multi-step with parentheses, multi-step rational.

Please add a message.

Message received. Thanks for the feedback.

Username or Email: Password: signup now | forgot password? Remember Me Username or Email: Password: signup now | forgot password? Remember Me
Free Sheets
Support & FAQs
Go to UK Site

></center></p><h2>Free Linear Functions Worksheet</h2><p>Math Worksheets / Algebra Worksheets / Free Linear Functions Worksheet</p><p>There is no escaping linear functions at school, so use our worksheets for drawing straight line graphs to present the topic in a clear and engaging way. Our linear functions worksheets are designed to help students to understand all aspects of lines, gradients and graphs. Our clear and concise straight line graph worksheets will help your child or pupil get to grips with finding gradients and drawing line graphs. All of our linear functions worksheets have answers, so you can see how well students are doing and pinpoint areas for revision. After using our drawing line graphs worksheets, students will be able to find the equation of the line in no time!</p><h2>Lines and Gradients Worksheets</h2><p>At Cazoom our linear functions worksheets break down the complex world of straight lines and gradients into manageable and understandable chunks. Our line graph worksheets present crucial information in a clear and concise way and help students improve at finding gradients and drawing straight line graphs.</p><h2>The Importance of Linear Functions in Real Life</h2><p>Whenever there is a rate of change, this can be represented in the form of a linear function.</p><p>Whenever there is a rate of change, this can be represented in the form of a linear function. A linear function maps the relationship between two variables, and there are many situations in everyday life that could be drawn as a straight line graph. Working out how many miles a car traveled on a tank of fuel can be expressed as a linear function, as can working out how many of the same item you can buy for $10. Although not many people draw a straight line graph when doing their weekly shop, when a shopper calculates how many packets of biscuits they can buy with their available funds, they are forming a linear function in their head.</p><h2>Understanding Speed, Distance and Time</h2><p>Linear functions are frequently used to represent a change in a speed proportional to distance and time.</p><p>These types of graphs help children understand the relationship between speed, distance and time, concepts which they will need to master in order to gain confidence in math and science. Linear functions worksheets reinforce all the material they are being taught in class and worded problems can help children understand all the real-life situations in which linear functions are used. Math worksheets are an excellent resource for children of all abilities to help improve their knowledge and grow their skills.</p><h2>What is a Linear Function?</h2><p>A linear function, in its most basic form, is a function that can be graphed as a straight line. According to math experts at Columbia University, they are easy to work with and can be applied in many ways. (1) They are generally used to show data and how it changes, such as showing how something increases or decreases with time.</p><h2>Understanding Linear Functions</h2><p>Linear functions are equations that can be written in different forms or plotted on a graph, where they will appear as a straight line. However, they cannot be a vertical line. They can be a horizontal line, but it is more likely the linear function will appear as a slanted line on a graph.</p><h2>How Do You Know if It’s a Linear Function?</h2><p>There are a few ways to determine if a function is a linear function. The most common way is to rearrange the formula to slope-intercept form. If it can be put into slope-intercept form, it is a linear function. </p><h2>What is the Formula for Linear Functions?</h2><p>Linear functions are written as f(x)=mx+b. The letters m and b stand for constants, and the f(x) and (x) are variables. In a linear function, m would be the slope of the line and b would be the y-intercept of the line on the graph.</p><h2>What is an example of a Linear Function?</h2><p>An example of a linear function would be f(x)=2x+3. In this example, the slope would be 2 while the y-intercept would be 3</p><h2>Graphing Linear Equations</h2><p>Graphing linear equations can be done doing two different methods.</p><h2>How Do You Graph Linear Functions?</h2><p>One way to graph the linear function is to find the y-intercept, then use the slope to find another point on the graph and draw a line between them. Another is to solve the equation to find two different points on the graph, then plot them and draw a line between them.</p><h2>How Do You Know Which Method to Use?</h2><p>Use the method based on the type of information provided. If the linear function is in slope-intercept form, find the y-intercept and the slope to graph the function. If the linear function isn’t in slope-intercept form or one point is already known, use the other method.</p><h2>Graphing Linear Function Worksheets</h2><p>Graphing linear function worksheets have been designed to help students practice solving linear functions and learning how to graph them.</p><h2>How Can Graphing Linear Function Worksheets Help?</h2><p>Functions worksheets allow students to learn more about the equations that can be linear functions, how to solve the equations, and how to graph linear functions.</p><h2>What Worksheets are Available?</h2><p>There are functions worksheets available that review drawing linear functions, drawing slopes, finding slopes, slope-intercept form, and more.</p><h2>Writing Linear Equations</h2><p>If a graph or two points are given, it is possible to write out the linear function using information from the graph.</p><h2>What are the Methods for Writing Linear Equations?</h2><p>There are a couple of methods for writing linear equations. The first method is to find one point, and the slope on a graph then put the information in an equation in slope-intercept form. Another is to use two points on the graph or points that are given to create the linear equation.</p><h2>What Do You Need to Write Linear Equations?</h2><p>To write a linear equation, you need a graph, two points that can be plotted on a graph, or one point along with a slope.</p><h2>Word Problems for Linear Functions</h2><p>Word problems that involve linear functions can be solved by looking for the right information, then plotting it on a graph or using the information to create the equation.</p><h2>What Information Do You Look for in Word Problems?</h2><p>In a word problem, look for two points that can be plotted on a graph or determine the y-intercept and the slope. If possible, go ahead and plot these on the graph to make it easier to see the function.</p><h2>How Do You Solve Word Problems?</h2><p>Solve word problems by finding the information needed then writing the equation. Plot the function if possible, to make sure the answer is correct.</p><h2>Cazoom Maths Linear Function Worksheets Are Easy to Understand</h2><p>Linear functions are considered easy to understand because they are just a straight line on a graph. Use the linear function worksheets available to learn how to write, solve, and plot linear functions to get a better understanding of how they work and be able to solve them easily in any format.</p><p>1. Columbia University</p><p>http://www.columbia.edu/itc/sipa/math/linear.html</p><h2>GET 30 FREE MATH WORKSHEETS!</h2><p>Fill out the form below to get 30 FREE math worksheets.</p><p><center><img style=

school Campus Bookshelves
menu_book Bookshelves
perm_media Learning Objects
login Login
how_to_reg Request Instructor Account
hub Instructor Commons

Margin Size

Download Page (PDF)
Download Full Book (PDF)
Periodic Table
Physics Constants
Scientific Calculator
Reference & Cite
Tools expand_more
Readability

selected template will load here

This action is not available.

4.1E: Linear Functions (Exercises)

Last updated
Save as PDF
Page ID 56076

$ \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } $

$ \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} $

$ \newcommand{\id}{\mathrm{id}}$ $ \newcommand{\Span}{\mathrm{span}}$

( \newcommand{\kernel}{\mathrm{null}\,}\) $ \newcommand{\range}{\mathrm{range}\,}$

$ \newcommand{\RealPart}{\mathrm{Re}}$ $ \newcommand{\ImaginaryPart}{\mathrm{Im}}$

$ \newcommand{\Argument}{\mathrm{Arg}}$ $ \newcommand{\norm}[1]{\| #1 \|}$

$ \newcommand{\inner}[2]{\langle #1, #2 \rangle}$

$ \newcommand{\Span}{\mathrm{span}}$

$ \newcommand{\id}{\mathrm{id}}$

$ \newcommand{\kernel}{\mathrm{null}\,}$

$ \newcommand{\range}{\mathrm{range}\,}$

$ \newcommand{\RealPart}{\mathrm{Re}}$

$ \newcommand{\ImaginaryPart}{\mathrm{Im}}$

$ \newcommand{\Argument}{\mathrm{Arg}}$

$ \newcommand{\norm}[1]{\| #1 \|}$

$ \newcommand{\Span}{\mathrm{span}}$ $ \newcommand{\AA}{\unicode[.8,0]{x212B}}$

$ \newcommand{\vectorA}[1]{\vec{#1}} % arrow$

$ \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow$

$ \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } $

$ \newcommand{\vectorC}[1]{\textbf{#1}} $

$ \newcommand{\vectorD}[1]{\overrightarrow{#1}} $

$ \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} $

$ \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} $

1. Determine whether the algebraic equation is linear. $2 x+3 y=7$ 2. Determine whether the algebraic equation is linear. $6 x^{2}-y=5$ 3. Determine whether the function is increasing or decreasing. \[f(x)=7 x-2 \nonumber\] 4. Determine whether the function is increasing or decreasing. \[g(x)=-x+2 \nonumber\] 5. Given each set of information, find a linear equation that satisfies the given conditions, if possible. Passes through (7,5) and (3,17) 6. Given each set of information, find a linear equation that satisfies the given conditions, if possible. $x$ -intercept at (6,0) and $y$ -intercept at (0,10) 7. Find the slope of the line shown in the graph.

$This is a graph of an increasing line with a y-intercept of -3 and x-intercept of 1 on an x, y coordinate plane. The x and y-axis range from -6 to 6.$

Does the following table represent a linear function? If so, find the linear equation that models the data.

12. On June $1^{\text {st }}$, a company has $\$ 4,000,000$ profit. If the company then loses 150,000 dollars per day thereafter in the month of June, what is the company's profit $n^{\text {th }}$ day after June $1^{\text {st }}$ ?

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular:

13. \[\begin{align*} 2 x-6 y &=12 \\[4pt] -x+3 y &=1 \end{align*}\]

14 \[\begin{align*} y &=\frac{1}{3} x-2 \\[4pt] 3 x+y &=-9 \end{align*}\]

For the following exercises, find the $x$ - and $y$ - intercepts of the given equation

15. $7 x+9 y=-63$ 16. $f(x)=2 x-1$

For the following exercises, use the descriptions of the pairs of lines to find the slopes of Line 1 and Line $2 .$ Is each pair of lines parallel, perpendicular, or neither?

Line 1 : Passes through (5,11) and (10,1)
Line 2: Passes through (-1,3) and (-5,11)
Line 1: Passes through (8,-10) and (0,-26)
Line 2: Passes through (2,5) and (4,4)

19. Write an equation for a line perpendicular to $f(x)=5 x-1$ and passing through the point (5,20).

20. Find the equation of a line with a $y$ - intercept of (0,2) and slope $-\frac{1}{2}$.

23. A car rental company offers two plans for renting a car.

Plan A: 25 dollars per day and 10 cents per mile
Plan B: 50 dollars per day with free unlimited mileage

How many miles would you need to drive for plan B to save you money?

Addition (Basic)

Addition (Multi-Digit)

Algebra & Pre-Algebra

Comparing Numbers

Daily Math Review

Division (Basic)

Division (Long Division)

Hundreds Charts

Measurement

Multiplication (Basic)

Multiplication (Multi-Digit)

Order of Operations

Place Value

Probability

Skip Counting

Subtraction

Telling Time

Word Problems (Daily)

More Math Worksheets

Reading Comprehension

Reading Comprehension Gr. 1

Reading Comprehension Gr. 2

Reading Comprehension Gr. 3

Reading Comprehension Gr. 4

Reading Comprehension Gr. 5

Reading Comprehension Gr. 6

Reading & Writing

Reading Worksheets

Cause & Effect

Fact & Opinion

Fix the Sentences

Graphic Organizers

Synonyms & Antonyms

Writing Prompts

Writing Story Pictures

Writing Worksheets

More ELA Worksheets

Consonant Sounds

Vowel Sounds

Consonant Blends

Consonant Digraphs

Word Families

More Phonics Worksheets

Early Literacy

Build Sentences

Sight Word Units

Sight Words (Individual)

More Early Literacy

Punctuation

Subjects and Predicates

More Grammar Worksheets

Spelling Lists

Spelling Grade 1

Spelling Grade 2

Spelling Grade 3

Spelling Grade 4

Spelling Grade 5

Spelling Grade 6

More Spelling Worksheets

Chapter Books

Charlotte's Web

Magic Tree House #1

Boxcar Children

More Literacy Units

Animal (Vertebrate) Groups

Butterfly Life Cycle

Electricity

Matter (Solid, Liquid, Gas)

Simple Machines

Space - Solar System

More Science Worksheets

Social Studies

Maps (Geography)

Maps (Map Skills)

More Social Studies

Mother's Day

Father's Day

More Holiday Worksheets

Puzzles & Brain Teasers

Brain Teasers

Logic: Addition Squares

Mystery Graph Pictures

Number Detective

Lost in the USA

More Thinking Puzzles

Teacher Helpers

Teaching Tools

Award Certificates

More Teacher Helpers

Pre-K and Kindergarten

Alphabet (ABCs)

Numbers and Counting

Shapes (Basic)

More Kindergarten

Worksheet Generator

Word Search Generator

Multiple Choice Generator

Fill-in-the-Blanks Generator

More Generator Tools

Full Website Index

Linear Equations

On these printable worksheets, students will practice solving, finding x and y intercepts, and graphing linear equations.

Logged in members can use the Super Teacher Worksheets filing cabinet to save their favorite worksheets.

Quickly access your most used files AND your custom generated worksheets!

Please login to your account or become a member and join our community today to utilize this helpful feature.

Members can add this to their file cabinet

STW has a variety of algebra and pre-algebra topics, including: evaluating algebraic expressions, algebraic equations (single-step), algebraic equations (two-step), dependent & independent variables, and inequalities.

Sample Worksheet Images

$Finding Intercepts of Linear Equations Math Worksheet$

PDF with answer key:

PDF no answer key:

Child Login

Kindergarten
Number charts
Skip Counting
Place Value
Number Lines
Subtraction
Multiplication
Word Problems
Comparing Numbers
Ordering Numbers
Odd and Even
Prime and Composite
Roman Numerals
Ordinal Numbers
In and Out Boxes
Number System Conversions
More Number Sense Worksheets
Size Comparison
Measuring Length
Metric Unit Conversion
Customary Unit Conversion
Temperature
More Measurement Worksheets
Writing Checks
Profit and Loss
Simple Interest
Compound Interest
Tally Marks
Mean, Median, Mode, Range
Mean Absolute Deviation
Stem-and-leaf Plot
Box-and-whisker Plot
Permutation and Combination
Probability
Venn Diagram
More Statistics Worksheets
Shapes - 2D
Shapes - 3D
Lines, Rays and Line Segments
Points, Lines and Planes
Transformation
Quadrilateral
Ordered Pairs
Midpoint Formula
Distance Formula
Parallel, Perpendicular and Intersecting Lines
Scale Factor
Surface Area
Pythagorean Theorem
More Geometry Worksheets
Converting between Fractions and Decimals
Significant Figures
Convert between Fractions, Decimals, and Percents
Proportions
Direct and Inverse Variation
Order of Operations
Squaring Numbers
Square Roots
Scientific Notations
Speed, Distance, and Time
Absolute Value
More Pre-Algebra Worksheets
Translating Algebraic Phrases
Evaluating Algebraic Expressions
Simplifying Algebraic Expressions
Algebraic Identities
Quadratic Equations
Systems of Equations
Polynomials
Inequalities
Sequence and Series
Complex Numbers
More Algebra Worksheets
Trigonometry
Math Workbooks
English Language Arts
Summer Review Packets
Social Studies
Holidays and Events
Worksheets >
Algebra >
Functions >
Graphing Linear Function

Graphing Linear Function Worksheets

This extensive set of pdf worksheets includes exercises on graphing linear function by plotting points on the grid. Three types of function tables, each with two levels of worksheets, require learners in grade 8 and high school to plot the points and graph the lines. The graph of a linear function is always a straight line. Use the answer keys provided to verify your responses. Employ the various download options to gain access to all our worksheets under this topic. A number of free printable worksheets are also up for grabs!

Printing Help - Please do not print worksheets with grids directly from the browser. Kindly download them and print.

Graphing Linear Function: Type 1 - Level 1

Find f(x) based on the x-coordinates provided and complete the function tables. Plot the points and graph the lines. The slopes given in level 1 worksheets are in the form of integers. Verify your graph with the answer keys provided.

Download the set

Graphing Linear Function: Type 1 - Level 2

These pdf worksheets provide ample practice in plotting the graph of linear functions. The slopes are represented as fractions in the level 2 worksheets. For the given x-coordinates, find f(x) and complete the function tables. Plot the points and graph the linear function.

Graphing Linear Function: Type 2 - Level 1

In this section, 8th grade and high school students will have to find the missing values of x and f(x). Complete the function table, plot the points and graph the linear function. The slopes in level 1 worksheets are in the form of integers.

Graphing Linear Function: Type 2 - Level 2

Write down the missing values of x and f(x). There are nine linear functions in each worksheet with the slopes in the form of simplified fractions. Plot the coordinates and graph the lines.

Graphing Linear Function: Type 3 - Level 1

Assume your own values for x for all printable worksheets provided here. Find the range. Compute the function tables, plot the points, and graph the linear functions. The slopes provided in level 1 worksheets are represented as integers.

Graphing Linear Function: Type 3 - Level 2

The equations in the second level of worksheets have slopes in the form of fractions. Assign five values of x and find the corresponding values of f(x). Plot the points and graph the linear function. Download our easy-to-print worksheets for ample practice.

Related Worksheets

» Linear Transformation

» Graphing Quadratic Function

» Graphing Linear Equation

» Graphs

Become a Member

Membership Information

What's New?

Printing Help

Testimonial

This is a members-only feature!

Free Printable Linear Equations worksheets

Math Linear Equations: Discover an extensive collection of free printable worksheets to help students master solving linear equations, enhancing their mathematical skills and confidence.

Explore Worksheets by Grade

kindergarten

Explore Linear Equations Worksheets by Topics

Explore worksheets by subjects.

Social studies
Social emotional
Foreign language
Reading & Writing

Explore printable Linear Equations worksheets

Linear Equations worksheets are an essential tool for teachers to help their students master the fundamental concepts of math and algebra. These worksheets provide a variety of problems that challenge students to apply their knowledge and skills in solving linear equations. Teachers can use these worksheets to supplement their lesson plans, provide additional practice for students who may be struggling with the material, or even as a form of assessment to gauge student understanding. With a wide range of topics covered, from simple one-step equations to more complex systems of linear equations, these worksheets cater to students of all grade levels and abilities. By incorporating Linear Equations worksheets into their teaching strategies, educators can ensure that their students are well-equipped to tackle the challenges of math and algebra with confidence.

Quizizz offers a comprehensive collection of Linear Equations worksheets, as well as other math and algebra resources, to support teachers in their quest to provide the best possible education for their students. With Quizizz, teachers can easily create engaging and interactive quizzes that can be used in conjunction with worksheets to reinforce learning and assess student progress. In addition to Linear Equations worksheets, Quizizz also offers a wide range of other math and algebra resources, including lessons, activities, and games, all designed to make learning fun and engaging for students of all grade levels. By utilizing Quizizz in their classrooms, teachers can create a dynamic and interactive learning environment that not only helps students master the concepts of linear equations but also fosters a lifelong love of learning.

Free Printable Math Worksheets for Algebra 1

Created with infinite algebra 1, stop searching. create the worksheets you need with infinite algebra 1..

Fast and easy to use
Multiple-choice & free-response
Never runs out of questions
Multiple-version printing

Free 14-Day Trial

Writing variable expressions
Order of operations
Evaluating expressions
Number sets
Adding rational numbers
Adding and subtracting rational numbers
Multiplying and dividing rational numbers
The distributive property
Combining like terms
Percent of change
One-step equations
Two-step equations
Multi-step equations
Absolute value equations
Solving proportions
Percent problems
Distance-rate-time word problems
Mixture word problems
Work word problems
Literal Equations
Graphing one-variable inequalities
One-step inequalities
Two-step inequalities
Multi-step inequalities
Compound inequalities
Absolute value inequalities
Discrete relations
Continuous relations
Evaluating and graphing functions
Finding slope from a graph
Finding slope from two points
Finding slope from an equation
Graphing lines using slope-intercept form
Graphing lines using standard form
Writing linear equations
Graphing linear inequalities
Graphing absolute value equations
Direct variation
Solving systems of equations by graphing
Solving systems of equations by elimination
Solving systems of equations by substitution
Systems of equations word problems
Graphing systems of inequalities
Discrete exponential growth and decay word problems
Exponential functions and graphs
Writing numbers in scientific notation
Operations with scientific notation
Addition and subtraction with scientific notation
Naming polynomials
Adding and subtracting polynomials
Multiplying polynomials
Multiplying special case polynomials
Factoring special case polynomials
Factoring by grouping
Dividing polynomials
Graphing quadratic inequalities
Completing the square
By taking square roots
By factoring
With the quadratic formula
By completing the square
Simplifying radicals
Adding and subtracting radical expressions
Multiplying radicals
Dividing radicals
Using the distance formula
Using the midpoint formula
Simplifying rational expressions
Finding excluded values / restricted values
Multiplying rational expressions
Dividing rational expressions
Adding and subtracting rational expressions
Finding trig. ratios
Finding angles of triangles
Finding side lengths of triangles
Visualizing data
Center and spread of data
Scatter plots
Using statistical models

8th Grade Linear Equations Worksheets

Linear equations are equations that have two variables and when graphed are a straight line based on their slope and y-intercept. Hence,8th grade linear equations worksheets have a variety of questions that help students practice key concepts and build a rock-solid foundation of the concepts.

Benefits of Linear Equations Grade 8 Worksheets

Linear equation worksheets are a great resource for students to practice a large variety of problems. These 8th grade math worksheets are supported by visuals which help students get a crystal clear understanding of the topic. The variety of problems that these worksheets offer helps students approach these concepts in an engaging and fun manner.

Many websites might provide similar worksheets but the Cuemath 8th grade linear equations worksheets come with visual simulation for students to see the problems in action, an answer key that provides a detailed step-by-step solution for students to understand the process better, and a worksheet with detailed solutions.

Printable PDFs for Grade 8 Linear Equations Worksheets

Students can practice problems by downloading the linear equations grade 8 worksheets in PDF format for free.

Math 8th Grade Linear Equations Worksheet
8th Grade Linear Equations Math Worksheet
Eighth Grade Linear Equations Worksheet
Grade 8 Math Linear Equations Worksheet

Explore more topics at Cuemath's Math Worksheets .

Solving Equations Practice Questions

Click here for questions, click here for answers.

equation, solve

GCSE Revision Cards

5-a-day Workbooks

Primary Study Cards

Terms and Conditions

COMMENTS

Linear Functions Problems with Solutions
Problem 1: f is a linear function. Values of x and f (x) are given in the table below; complete the table. Solution to Problem 1: f is a linear function whose formula has the form. f (x) = a x + b. where a and b are constants to be found. Note that 2 ordered pairs (-3,17) and (4,-18) are given in the table.
Linear Function Worksheets
Start off your functions practice with our free worksheets! Identify Linear and Nonlinear Functions from Equation. Try this set of linear vs nonlinear functions worksheet pdfs to determine whether a function is linear or not. If the equation can be written in the slope-intercept form, y=mx+b then it is linear. Download the set.
Worksheets for linear equations
You can customize the worksheets to include one-step, two-step, or multi-step equations, variable on both sides, parenthesis, and more. The worksheets suit pre-algebra and algebra 1 courses (grades 6-9). You can choose from SEVEN basic types of equations, ranging from simple to complex, explained below (such as one-step equations, variable on ...
Algebra 1 Worksheets
Graphing Absolute Values Worksheets. These Linear Equations Worksheets will produce problems for practicing graphing absolute values. These Linear Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade. These Algebra 1 generator allows you to produce unlimited numbers of dynamically created linear equations ...
Linear equations, functions, & graphs
This topic covers: - Intercepts of linear equations/functions - Slope of linear equations/functions - Slope-intercept, point-slope, & standard forms - Graphing linear equations/functions - Writing linear equations/functions - Interpreting linear equations/functions - Linear equations/functions word problems
Linear Equations Worksheets
Linear Equations Worksheets Worksheets. Pre Algebra Order of Operations (Whole Numbers) Addition/Subtraction No Parentheses (2 steps) ... Study Tools AI Math Solver Popular Problems Worksheets Study Guides Practice Cheat Sheets Calculators Graphing Calculator Geometry Calculator.
Linear Functions Worksheet (No. 1 Source)
A linear function, in its most basic form, is a function that can be graphed as a straight line. According to math experts at Columbia University, they are easy to work with and can be applied in many ways. (1) They are generally used to show data and how it changes, such as showing how something increases or decreases with time.
4.1E: Linear Functions (Exercises)
6. Given each set of information, find a linear equation that satisfies the given conditions, if possible. $x$ -intercept at (6,0) and $y$ -intercept at (0,10) 7. Find the slope of the line shown in the graph. 8. 9. 10. Does the following table represent a linear function? If so, find the linear equation that models the data.
Linear equations and functions
Learn. Linear graphs word problems. Modeling with tables, equations, and graphs. Linear graphs word problem: cats. Linear equations word problems: volcano. Linear equations word problems: earnings. Modeling with linear equations: snow. Linear function example: spending money. Fitting a line to data.
Linear Equations (Worksheets)
On these printable worksheets, students will practice solving, finding x and y intercepts, and graphing linear equations. Solve to find the x- and y-intercepts. There are 6 problems to complete on this double-sided worksheet. Solve to find the x-intercept and y-intercept for each equation. Then plot both points and draw a line to graph the ...
Linear Functions Worksheets
Linear functions worksheets give students the opportunity to solve a wide variety of problems helping them to build a robust mathematical foundation. Linear functions worksheets help kids to improve their speed, accuracy, logical and reasoning skills in performing simple calculations related to the topic of linear functions.
PDF Solving Multi-Step Equations
No solution. {−3} {−7} (1) Divide by 5 first, or (2) Distribute the 5 first. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com.
Graphing Linear Function Worksheets
These pdf worksheets provide ample practice in plotting the graph of linear functions. The slopes are represented as fractions in the level 2 worksheets. For the given x-coordinates, find f (x) and complete the function tables. Plot the points and graph the linear function. Download the set.
Linear equations word problems
Linear equations word problems. Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. How fast does the tree grow? Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the ...
Working with Linear Equations Worksheets
This Linear Functions Worksheet will produce problems for practicing solving the equation of a linear equation. This worksheet is a great resources for the 5th, 6th Grade, 7th Grade, and 8th Grade. Language for the Linear Functions Worksheet
50+ Linear Functions worksheets on Quizizz
These worksheets cover a wide range of topics, including slope-intercept form, point-slope form, and graphing linear equations. By incorporating these worksheets into their lesson plans, teachers can ensure that their students gain a solid foundation in linear functions, which is crucial for success in higher-level math courses.
PDF Worksheet
Review of Linear Functions (Lines) Find the slope of each line. Find the slope of the line through each pair of points. Find the slope of each line. Find the slope of a line parallel to each given line. Find the slope of a line perpendicular to each given line. Sketch the graph of each line. Write the slope-intercept form of the equation of ...
50+ Linear Equations worksheets on Quizizz
Linear Equations worksheets are an essential tool for teachers to help their students master the fundamental concepts of math and algebra. These worksheets provide a variety of problems that challenge students to apply their knowledge and skills in solving linear equations. Teachers can use these worksheets to supplement their lesson plans ...
Solving Linear Equations Worksheets
Lesson and Practice. Write equation that matches the balance picture. Then find X. Here 'X' and a negative number are on one side of the balance; and a positive number is on the other side of the balance. There are 3 negative numbers and 6 positive numbers. Rearrange the terms so that all the numbers are on one side and X is on the other side.
Free Printable Math Worksheets for Algebra 1
Finding slope from a graph. Finding slope from two points. Finding slope from an equation. Graphing lines using slope-intercept form. Graphing lines using standard form. Writing linear equations. Graphing linear inequalities. Graphing absolute value equations. Direct variation.
Linear models word problems (practice)
Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. ... Linear equations word problems: earnings. Modeling with linear equations: snow. Linear equations ...
8th Grade Linear Equations Worksheets
Linear equation worksheets are a great resource for students to practice a large variety of problems. These 8th grade math worksheets are supported by visuals which help students get a crystal clear understanding of the topic. The variety of problems that these worksheets offer helps students approach these concepts in an engaging and fun manner.
Solving Equations Practice Questions
equation, solve. Practice Questions. Previous: Ray Method Practice Questions. Next: Equations involving Fractions Practice Questions. The Corbettmaths Practice Questions on Solving Equations.