Linear equations worksheet

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

Two-step equation worksheets

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.

Multi-step equation worksheets

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.

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. MCQ worksheets form a perfect tool to examine a learner's perception on the topic.

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. 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.

Graphing linear equation worksheets

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.

Quadratic equation worksheets

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.

Absolute value equation worksheets

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.

Systems of equations worksheets

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.

Practice the questions given in the worksheet on linear equation in one variable.

I. Solve the following equations and check the result:

1. 2x – 6 = 0

2. 7x – 2 = 8 - x

3. 8 – 2x = 5 – 4x

4. 4 + 3x = 2 – 2x

5. 2(x – 1) + 2(3x -1) = 0

6. 4(x-1) –(2x – 5) = 4

7. 2x – \(\frac{2}{3}\) = \(\frac{3}{4}\) – x

8. \(\frac{x}{2}\) – 2= 4 + \(\frac{1}{4}\)

9. \(\frac{x}{9}\) + \(\frac{x}{3}\) = \(\frac{1}{9}\)

10. 3x + 2(x+2) = 10 – (2x – 5)

11. 10(y – 4) – 2(y – 9) – 5(y + 4) = 0

12. \(\frac{2m+5}{3}\) = 3m - 5

13. 6(3x + 2) – 5(6x – 1) = 2(x – 8) – 5(7x – 6) + 8x

14. t – (2t +5) – (1- 2t) = (3 + 4t) – 2(t - 4)

15. \(\frac{2x}{3}\) = \(\frac{3x}{4}\) + \(\frac{7}{12}\)

16. \(\frac{3x-1}{5}\) - \(\frac{x}{15}\) =3

17. 2x – 3 = \(\frac{3}{10}\) x (5x – 10)

18. \(\frac{2y – 1}{3}\) - \(\frac{y - 2}{4}\) = 1

19. \(\frac{x-2}{9}\) + \(\frac{1}{3}\) = x - \(\frac{2x - 1}{3}\)

20. \(\frac{2x - 1}{3}\) - \(\frac{2x - 2}{5}\) = \(\frac{1}{3}\)

21. \(\frac{y + 7}{15}\) = 1 + \(\frac{3y - 2}{5}\)

22. \(\frac{2x - 18}{7}\) + \(\frac{x}{3}\) = 2

23. \(\frac{2x - 3}{5}\) + \(\frac{x + 3}{4}\) = \(\frac{4x + 1}{4}\)

24. \(\frac{21x - 3}{4}\) – (2x - \(\frac{1 - x}{2}\)) = x + \(\frac{5}{2}\)

25. \(\frac{x + 2}{6}\) – (\(\frac{11 - x}{3}\)- \(\frac{1}{4}\)) = \(\frac{3x - 4}{9}\)

26. \(\frac{9x + 7}{2}\) – (x - \(\frac{x - 2}{12}\) = 24

27. 0.5x +\(\frac{x}{3}\) = 0.25x + 6

28. 0.18(5x – 4) = 0.5x + 0.6

29. 2.4(3 – x) – 0.3(2x – 3) = 0

30.  0.5x – (0.6 – 0.2x) = 0.2 – 0.3x

31. \(\frac{x + 2}{x - 2}\) = \(\frac{7}{2}\)

32. \(\frac{2x + 5}{3x + 4}\)  = 5.

II. Solve the following word problems:

1. Ten added to thrice a whole number gives 40. Find the number.

2. Four-fifths of a number is greater than three-fourths of a number by 8. Find the number.

3. The sum of two consecutive multiples of 4 is 60. Find the number.

Solutions:

I. 1. x = 3

2. x = 5/4

3. x = -3/2

4. x = -2/5

5. x = 1/2

6. x = 3/2

7. x = 17/36

8. x = 25/4

9. x = 1/4

10. x = 11/7

11. y = 14

12.m = 20/7

13. x = -3/13

14. t = -17

15. x = -7

16. x = 6

17. x = 0

18. y = 2

19. x = -1

20. x = 1

21. y = -1/4

22. x = 96/13

23. x = -2/7

24. x = 11/7

25. x = 113/6

26. x = 248/43

27. x = 72/7

28. x = 3.3

29. x = 2.1

30. x = 0.8

31. x = 18/5

32. x = -15/13

II. 1. x = 10

2. x = 160

3. 1^st number = 28

2^nd number = 32

9th Grade Math

From Worksheet on Linear Equation in One Variable to HOME PAGE

Find here an unlimited supply of printable worksheets for solving linear equations, available as both PDF and html files. 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 both sides, or having to use the distributive property). Customize the worksheets using the generator below.

Basic instructions for the worksheets

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

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Ready-made worksheets

See also

Worksheets for simplifying expressions

Worksheets for evaluating expressions with variables

Worksheets for writing expressions with variables from verbal expressions

Worksheets for linear inequalities

Key to Algebra Workbooks

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.

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