# Worksheet on Linear Equations

Practice worksheet on linear equations in one variable. Students can recall the lesson and practice the equations step-by-step and then try to represent the solution of the linear equation graphically.

1. Solve each of the following equations and represent the solution graphically.

(a) 7x + 2 = -19

(b) 3x - 1/3 = 5

(c) 5x - 4 = 21

(d) -7x = 21

(e) 18 - 7x = -3

(f) 3(x + 4) = 21

(g) 2x/3 - 3x/5 = 8

(h) 3x - 9 = 5x - 3

(i) 3(x - 3) = 4(2x + 1)

2. Solve each of the following equations and check your solution by substituting in the equation.

(a) 3x/2 - 10 = 1/2

(b) x/2 - x/3 = 8

(c) 6x - 9 - 2(1 - x) = x + 9

(d) 2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

(e) (2 - y)/(y + 7) = 3/5

(f) (3x + 2)/(2x - 3) = - 3/2

(g) (x - 8 )/3 = (x - 3)/5

(h) 0.25(4y - 3) = 0.5y - 9

Answers for the worksheet on linear equations in one variable are given below so that students can check the exact answers after solving the equations.

1. (a) -3

(b) 1⁷/₉

(c) 5

(d) -3

(e) 3

(f) 3

(g) 120

(h) -3

(i) -2³/₅

2. (a) 7

(b) 48

(c) 20/7

(d) 49/5

(e) -11/8

(f) 5/12

(g) 31/2

(h) -16.5

Equations

What is an Equation?

What is a Linear Equation?

How to Solve Linear Equations?

Solving Linear Equations

Problems on Linear Equations in One Variable

Word Problems on Linear Equations in One Variable

Practice Test on Linear Equations

Practice Test on Word Problems on Linear Equations

Equations - Worksheets

Worksheet on Linear Equations

Worksheet on Word Problems on Linear Equation