# Category: Patterns and linear functions worksheet

Welcome to the Algebra worksheets page at Math-Drills. On this page, you will find Algebra worksheets mostly for middle school students on algebra topics such as algebraic expressions, equations and graphing functions. This page starts off with some missing numbers worksheets for younger students. We then get right into algebra by helping students recognize and understand the basic language related to algebra.

The rest of the page covers some of the main topics you'll encounter in algebra units. Remember that by teaching students algebra, you are helping to create the future financial whizzes, engineers, and scientists that will solve all of our world's problems. Algebra is much more interesting when things are more real. Solving linear equations is much more fun with a two pan balance, some mystery bags and a bunch of jelly beans.

Algebra tiles are used by many teachers to help students understand a variety of algebra topics. And there is nothing like a set of co-ordinate axes to solve systems of linear equations. Most Popular Algebra Worksheets this Week. The commutative law or commutative property states that you can change the order of the numbers in an arithmetic problem and still get the same results.

In the context of arithmetic, it only works with addition or multiplication operationsbut not mixed addition and multiplication.

A fun activity that you can use in the classroom is to brainstorm non-numerical things from everyday life that are commutative and noncommutative. Putting on socks, for example, is commutative because you can put on the right sock then the left sock or you can put on the left sock then the right sock and you will end up with the same result. Putting on underwear and pants, however, is noncommutative. The associative law or associative property allows you to change the grouping of the operations in an arithmetic problem with two or more steps without changing the result.

The order of the numbers stays the same in the associative law. As with the commutative law, it applies to addition-only or multiplication-only problems. It is best thought of in the context of order of operations as it requires that parentheses must be dealt with first. Students might think of some examples from their experience such as putting items on a tray at lunch. They could put the milk and vegetables on their tray first then the sandwich or they could start with the vegetables and sandwich then put on the milk.

If their tray looks the same both times, they will have modeled the associative law. Reading a book could be argued as either associative or nonassociative as one could potentially read the final chapters first and still understand the book as well as someone who read the book the normal way. Inverse relationships worksheets cover a pre-algebra skill meant to help students understand the relationship between multiplication and division and the relationship between addition and subtraction.

Missing numbers in equations worksheets in three types: blanks for unknowns, symbols for unknowns and variables for unknowns. In these worksheets, the unknown is limited to the question side of the equation which could be on the left or the right of equal sign.

The distributive property is an important skill to have in algebra. In simple terms, it means that you can split one of the factors in multiplication into addends, multiply each addend separately, add the results, and you will end up with the same answer. It is also useful in mental math, and example of which should help illustrate the definition. In algebra, the distributive property becomes useful in cases where one cannot easily add the other factor before multiplying.

As the title says, these worksheets include only basic exponent rules questions. Each question only has two exponents to deal with; complicated mixed up terms and things that a more advanced student might work out are left alone. Linear equations worksheets including simplifying, graphing, evaluating and solving systems of linear equations. Knowing the language of algebra can help to extract meaning from word problems and to situations outside of school.This segment has an endless collection of equation worksheets based on solving one-step, two-step and multi-step equations; rearranging literal equations, writing the equation of a line in various forms; graphing linear equation and more.

### Generating Number Patterns

High-school topics such as quadratic equation, absolute value equation and systems of equations are also featured here. Practice solving the equations by using the various download options available.

A number of free printable worksheets are also up for grabs! This set of worksheets requires students to solve one-step equations involving integers, fractions and decimals by performing addition, subtraction, multiplication or division operations.

It also contains math riddles, finding the cost of the objects, translating the phrases into one-step equation and more.

Click on the link to access exclusive worksheets on solving two-step equations that include integers, fractions and decimals. A number of MCQ's, equations in geometry, translating two-step equations and many more exercises are available for practice. These worksheets require students to perform multiple steps to solve the equations.

Use the knowledge gained in solving one-step and two-step equations to solve these multi-step equations. A number of application oriented problems based on geometrical shapes are also included here.

Download and print this enormous collection of one-step, two-step and multi-step equation word problems that include integers, fractions, and decimals. MCQ worksheets form a perfect tool to examine a learner's perception on the topic. Literal equation worksheets help to hone the skills like rearranging the literal equations, rearrange and evaluate, word problems containing real-life applications and a lot more are included. Click here for worksheets on equation of a line.

Write the equation of a line in standard form, two-point form, slope-intercept form and point-slope form. Download the complete set of worksheets on equation of a line that comprise worksheets on parallel and perpendicular lines as well. You are just a click away from a huge collection of worksheets on graphing linear equations.

Plot the points and graph the line. Use the x values to complete the function tables and graph the line. The MCQ worksheets form a perfect tool to test student's knowledge on this topic. Click on the link for an extensive set of worksheets on quadratic equations. Solve the quadratic equations by factoring, completing the square, quadratic formula or square root methods. Find the sum and product of the roots. Analyze the nature of the roots. Use these worksheets to teach your students about the absolute value of integers.

This module includes exercises like evaluating the absolute value expression at a particular value, input and output tables, graph the absolute value function and solve the various types of absolute value equation.

Solve these systems of equations by elimination or substitution methods. The equations contain two or three variables. Equation with two variables represents straight lines, whereas equations with three variables represent a plane. Login Become a Member. One-step equation worksheets This set of worksheets requires students to solve one-step equations involving integers, fractions and decimals by performing addition, subtraction, multiplication or division operations.

Two-step equation worksheets Click on the link to access exclusive worksheets on solving two-step equations that include integers, fractions and decimals. Multi-step equation worksheets These worksheets require students to perform multiple steps to solve the equations. Equation word problems worksheets Download and print this enormous collection of one-step, two-step and multi-step equation word problems that include integers, fractions, and decimals.

Rearranging Equations worksheets Literal equation worksheets help to hone the skills like rearranging the literal equations, rearrange and evaluate, word problems containing real-life applications and a lot more are included. Equation of a line worksheets Click here for worksheets on equation of a line. Graphing linear equation worksheets You are just a click away from a huge collection of worksheets on graphing linear equations.

Quadratic equation worksheets Click on the link for an extensive set of worksheets on quadratic equations.Algebra for Beginners.

Want to know the perfect recipe for some spooky math practice? Witches and algebra, of course! Combining Like Terms. Introduce your middle school student to some basic algebra concepts.

He'll work with variables and exponents as he combines like terms. Easy Algebra. Let your fifth grader get easy algebra practice with a row of dancing skeletons and a ghost or two. This spooky worksheet makes finding x an adventure. Algebra Practice Problems. Does your child need a hand with algebra? She'll get plenty of practice solving for X with this worksheet. Algebra Practice Problems 2.

Need some help with algebra? Your child will practice simplifying algebra equations as he solves for 'x'. Pre-Algebra Equations. With plump orange pumpkins and fiery fall leaves, pre-algebra equations had so much fall fun. Give your fifth grader a taste of algebra with this worksheet. Solving One- and Two-Step Equations. Use this worksheet to review and practice solving algebraic equations.

Pre-Algebra Fun. Fit for only the bravest mathematicians, this worksheets features a spider or two and some tricky pre-algebra equations. Print off this sheet of cross multiplication exercises to sharpen your child's cross multiplication skills.

Introduction to Algebraic Expressions. Two important concepts are needed for algebraic success: order of operations and combining like terms. Learn all about them with this practice sheet. Solve for X. For beginning algebra students, take a break from boring textbook equations and get some practice solving for x with a colorful worksheet! Algebra Coloring Page 1.

Calling all math maniacs, here's an algebra practice page that includes a bit of coloring! Solve for x in these equations, and color the picture as you go.

Algebra Coloring Page 6. Take the bore out of textbook math problems, and give your child a more colorful practice sheet!Test and Worksheet Generators for Math Teachers. All worksheets created with Infinite Algebra 1. Stop searching. Create the worksheets you need with Infinite Algebra 1. Basics 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.

Inequalities Graphing one-variable inequalities One-step inequalities Two-step inequalities Multi-step inequalities Compound inequalities Absolute value inequalities. Trigonometry Finding trig. Systems of Equations and Inequalities 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.

Statistics Visualizing data Center and spread of data Scatter plots Using statistical models. Linear Equations and Inequalities 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 absolute value equations Graphing linear inequalities.

Word Problems Distance-rate-time word problems Mixture word problems Work word problems Systems of equations word problems.

All rights reserved.Recognizing patterns is an everyday skill. We see them everywhere. Patterns and Linear Functions are the most common and easiest to recognize. To gain access to our editable content Join the Algebra 1 Teacher Community!

### How to Teach Patterns and Linear Functions

Here you will find hundreds of lessons, a community of teachers for support, and materials that are always up to date with the latest standards. Want access to everything?

Simply click the image below to Get All of Our Lessons! Would You Rather Listen to the Lesson? Recognizing Patterns and Linear Functions Recognizing patterns is an everyday skill. The more visual aids you can use to show what makes graphs turn out linear the faster your students will realize that every number in a linear T-chart follows a pattern. I like to pair this lesson with some things they know about scatter plots. I like to use scatter plots to show an extreme example of data that doesn't follow a pattern but does show trending date.

Your students know the word "trending" very well from social media. This will give them an ah ha moment where they can start to connect the dots. After they understand how to read a scatter plot to predict future outcomes showing them Patterns and Linear Functions where things are consistent will be a walk in the park!

Here is your free content for this lesson! Want to see more great lessons? Pin It!This collection of linear functions worksheets is a complete package and leaves no stone unturned.

Eighth grade and high school students gain practice in identifying and distinguishing between a linear and a nonlinear function presented as equations, graphs and tables. Identify the function rule, complete tables, evaluate, graph, compare and transform linear functions are some topics dealt with here. Start off your functions practice with our free worksheets! Printing Help - Please do not print inverse functions worksheets directly from the browser.

Kindly download them and print. 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. Is the Function Linear or Nonlinear? The graph of a linear function is a straight line, while the graph of a nonlinear function is a curve. Is the Function Linear or Nonlinear Table. Examine the input x and output y values of the table inthese linear function worksheets for grade 8.

If the rate of change for y with respect to x remains constant, then the table represents a linear function. Substitute the x-values in the linear expression to find the y-values in each function table worksheet.

The easy level deals with integers, while the moderate level focuses on fractions and decimals. Completing the function table in this batch of pdf worksheets comes with a twist.

Students are expected to plug in either the input or output values in the function rule to determine the missing value. Deciphering the pattern that converts the input into an output value in each table and writing it as an expression is all one is expected to do in this set of printable function rule worksheets for high school students.

Plotting coordinates and graphing functions are the two major learning outcomes of this section of graphing linear equations worksheet printables. The slopes here are expressed as integers and fractions. Compare two functions presented as tables, graphs and equations in these printable worksheets. Find the slope, x and y-intercepts to complete the table and answer questions based on comparisons.

Transformation of Linear Functions Worksheets. Draw a transformed graph, write a transformed function using horizontal and vertical shifts, stretches, compressions, and reflections too with these transformation of linear functions worksheets. Members have exclusive facilities to download an individual worksheet, or an entire level. Login Become a Member. 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.

Graph 8th grade students learn to distinguish between linear and nonlinear functions by observing the graphs. Is the Function Linear or Nonlinear Table Examine the input x and output y values of the table inthese linear function worksheets for grade 8.

Linear Function Level 1 Substitute the x-values in the linear expression to find the y-values in each function table worksheet. Easy: Moderate:. Linear Function Level 2 Completing the function table in this batch of pdf worksheets comes with a twist. Finding the Function Rule Deciphering the pattern that converts the input into an output value in each table and writing it as an expression is all one is expected to do in this set of printable function rule worksheets for high school students.

Graphing Linear Functions Worksheets Plotting coordinates and graphing functions are the two major learning outcomes of this section of graphing linear equations worksheet printables. Comparing Linear Functions Compare two functions presented as tables, graphs and equations in these printable worksheets. Transformation of Linear Functions Worksheets Draw a transformed graph, write a transformed function using horizontal and vertical shifts, stretches, compressions, and reflections too with these transformation of linear functions worksheets.

What's New?Our premium worksheet bundles contain 10 activities and answer key to challenge your students and help them understand each and every topic within their grade level. In this lesson you will learn how to describe, extend, and make generalizations about numeric patterns. Working with number patterns is an very useful skill for solving many types of problem.

## Patterns And Linear Functions

Identifying a pattern when you look at individual examples helps you to generalize and find a broader solution to a problem. Work through the examples and explanations in this lesson with your children and then try the worksheet that you will find at the bottom of this page. Probably without even knowing it, you have been observing and creating patterns ever since you were a very small child. You probably made repeating patterns with shapes, such the one below with triangles, circles, and squares.

Get your children to explain the pattern they see in the above sequence of shapes. When you got just a little bit older, you probably learned skip-counting, which is nothing more than applying a pattern to counting.

A fun part of math is creating and playing with patterns. Math is organized with rules to follow. If you know what the rule is, you can create a pattern. The rule is often organized on a function table as shown in the examples below. In the first row, start with 0 and add 5. The result is 5. Start with 1 in row two, add 5. The result is 6, and so on. In the first row, start with 0 and multiply it by 2.

The result is 0. Start with 1 in row two, and multiply it by two. The result is 2. In row three, start with 2 and multiply by 2. The result is 4. And so on. Although it is common for a function table to begin with 0 on the X side, it does not have to. The X numbers usually start with the smallest and get larger, but the first number can be any number.

The numbers can also increase by more than one. This table begins with 6, and each X number goes up by two. Work through the next set of number pattern examples with your children. You can check your answers by clicking the empty boxes to show and hide the Y numbers.

Click the boxes to show or hide the answers. How did you do filling in the missing information on the Y side?

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