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

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