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Solving Linear Equations (1-Step & 2-Step) Worksheet

Isolate the variable x using addition, subtraction, multiplication, and division inverse operations. 10 algebra problems.

Algebra, Exponents & Roots Medium / Intermediate Middle School (Grades 6โ€“8) 10 Problems
Name:
Date:
Class:
Score: ______ / 10
1)
Solve for x: x + 7 = 19
2)
Solve for x: x − 8 = 15
3)
Solve for x: 4x = 36
4)
Solve for x:
x5
= 8
5)
Solve for x: 2x + 5 = 17
6)
Solve for x: 3x − 4 = 20
7)
Solve for x: 5x + 3 = 38
8)
Solve for x: 4x − 9 = 27
9)
Solve for x: 6x + 2 = 26
10)
Solve for x: 2x − 7 = 15

Answer Key & Solutions

Solving Linear Equations (1-Step & 2-Step) Worksheet
#1: 12
Subtract 7 from both sides: x = 19 - 7 = 12.
#2: 23
Add 8 to both sides: x = 15 + 8 = 23.
#3: 9
Divide both sides by 4: x = 36 รท 4 = 9.
#4: 40
Multiply both sides by 5: x = 8 ร— 5 = 40.
#5: 6
2x = 17 - 5 = 12 โ†’ x = 12 รท 2 = 6.
#6: 8
3x = 20 + 4 = 24 โ†’ x = 24 รท 3 = 8.
#7: 7
5x = 38 - 3 = 35 โ†’ x = 35 รท 5 = 7.
#8: 9
4x = 27 + 9 = 36 โ†’ x = 36 รท 4 = 9.
#9: 4
Subtract 2: 6x = 24. Divide by 6: x = 4.
#10: 11
Add 7: 2x = 22. Divide by 2: x = 11.