Grade 7 Linear Equations Test PDF
Free preview of a printable Grade 7 Linear Equations test with a complete step-by-step answer key. Common Core 7.EE aligned · balanced 5/3/2 difficulty.
1. Solve: x + 9 = 17
2. Solve: 4x = 28
3. Solve: x/3 = 6
4. Solve: 2x + 5 = 19
5. Solve: 3x − 4 = 11
6. Solve: 5x + 2 = 3x + 14
7. Solve: 2(x − 3) = 10
8. Solve: (x + 4)/2 = 7
9. Solve: 3(2x − 1) = 4x + 9
10. A number doubled and increased by 7 equals 25. Find the number.
1. x = 8
x = 17 − 9 = 8
2. x = 7
x = 28 ÷ 4 = 7
3. x = 18
x = 6 × 3 = 18
4. x = 7
2x = 14 → x = 7
5. x = 5
3x = 15 → x = 5
6. x = 6
2x = 12 → x = 6
7. x = 8
x − 3 = 5 → x = 8
8. x = 10
x + 4 = 14 → x = 10
9. x = 6
6x − 3 = 4x + 9 → 2x = 12 → x = 6
10. x = 9
2x + 7 = 25 → 2x = 18 → x = 9
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Topics covered
One- and two-step equations, equations with variables on both sides, word problems.
Difficulty balance
5 easy / 3 medium / 2 hard — fair grading across abilities.
Answer key
Step-by-step solutions for every question.