GED - General Educational Development Math Test #6 1 — Questions and Answers
Question 1: Solve for x: 3x − 7 = 14
- 3
- 5
- 7 (Correct answer)
- 9
Correct answer: 7
Add 7 to both sides: 3x = 21, then divide both sides by 3: x = 7.
Question 2: What is 35% of 120?
- 38
- 42 (Correct answer)
- 45
- 47
Correct answer: 42
Convert 35% to a decimal (0.35) and multiply: 0.35 × 120 = 42.
Question 3: A rectangle has a length of 12 cm and a width of 7 cm. What is its area?
- 38 cm²
- 76 cm²
- 84 cm² (Correct answer)
- 144 cm²
Correct answer: 84 cm²
Area of a rectangle = length × width = 12 × 7 = 84 cm².
Question 4: Simplify: 2³ × 2²
- 16
- 25
- 32 (Correct answer)
- 64
Correct answer: 32
When multiplying powers with the same base, add the exponents: 2³ × 2² = 2^(3+2) = 2⁵ = 32.
Question 5: What is the slope of the line passing through the points (2, 3) and (6, 11)?
- 1/2
- 1
- 2 (Correct answer)
- 4
Correct answer: 2
Slope = (y₂ − y₁) / (x₂ − x₁) = (11 − 3) / (6 − 2) = 8 / 4 = 2.
Question 6: A jacket originally priced at $85 is on sale for 20% off. What is the sale price?
- $17
- $65
- $68 (Correct answer)
- $72
Correct answer: $68
Find the discount: 20% of $85 = 0.20 × 85 = $17. Subtract from original: $85 − $17 = $68.
Solve for x: 3x − 7 = 14