GED Test (Mathematical Reasoning, Science, Social Studies, Reasoning Through Language Arts)
Expressions and equations: practice questions
Our GED bank has 35 questions on this topic. Here are 5 of them with answers; the full mock exam draws from every topic, like the real one.
Question 1
Solve the system: y = 2x + 1 and 3x + y = 16
- x = 2, y = 5
- x = 3, y = 6
- x = 5, y = 11
- x = 3, y = 7
Show the answer
D. x = 3, y = 7 — Substitute: 3x + 2x + 1 = 16, 5x = 15, x = 3; y = 7.
Question 2
Solve for h: A = ½bh
- h = A/(2b)
- h = 2A/b
- h = Ab/2
- h = 2b/A
Show the answer
B. h = 2A/b — Multiply both sides by 2: 2A = bh, then divide by b.
Question 3
Solve: −3x + 4 ≤ 19
- x ≤ 5
- x ≥ −5
- x ≥ 5
- x ≤ −5
Show the answer
B. x ≥ −5 — −3x ≤ 15; dividing by −3 reverses the sign: x ≥ −5.
Question 4
Factor completely: x² + 7x + 12
- (x + 12)(x + 1)
- (x + 3)(x + 4)
- (x + 2)(x + 6)
- (x − 3)(x − 4)
Show the answer
B. (x + 3)(x + 4) — 3 × 4 = 12 and 3 + 4 = 7.
Question 5
Solve: x/4 + 3 = 8
- x = 20
- x = 44
- x = 1.25
- x = 5
Show the answer
A. x = 20 — x/4 = 5, so x = 20.