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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