GED Math Test #9 2 — Questions and Answers
Question 1: What is the value of 4³ − √64?
- 56 (Correct answer)
- 48
- 32
- 60
Correct answer: 56
4³ = 4 × 4 × 4 = 64. √64 = 8. 64 − 8 = 56.
Question 2: Line m is parallel to line n. A transversal crosses both lines forming angles. If one angle is 65°, what is its alternate interior angle?
- 65° (Correct answer)
- 115°
- 25°
- 125°
Correct answer: 65°
Alternate interior angles formed by a transversal cutting parallel lines are equal. Therefore the alternate interior angle is also 65°.
Question 3: A spinner has 8 equal sections numbered 1–8. What is the probability of landing on a number greater than 5?
- 3/8 (Correct answer)
- 5/8
- 1/2
- 1/4
Correct answer: 3/8
Numbers greater than 5 are: 6, 7, 8 — that is 3 numbers. P = 3/8.
Question 4: Combine like terms: 4a² − 3b + 2a² + 7b
- 6a² + 4b (Correct answer)
- 6a² − 10b
- 8a² + 4b
- 6a² + 10b
Correct answer: 6a² + 4b
Group like terms: (4a² + 2a²) + (−3b + 7b) = 6a² + 4b. Only terms with the same variable and exponent can be combined.
Question 5: A store sells apples at $1.20 each and oranges at $0.90 each. Jake buys 5 apples and 4 oranges. How much does he spend?
- $9.60 (Correct answer)
- $8.70
- $10.50
- $9.00
Correct answer: $9.60
Apples: 5 × $1.20 = $6.00. Oranges: 4 × $0.90 = $3.60. Total = $6.00 + $3.60 = $9.60.
Question 6: Which of the following is the solution to x² − 5x + 6 = 0?
- x = 2 and x = 3 (Correct answer)
- x = −2 and x = −3
- x = 1 and x = 6
- x = 6 and x = −1
Correct answer: x = 2 and x = 3
Factor: (x − 2)(x − 3) = 0. Set each factor to zero: x − 2 = 0 → x = 2; x − 3 = 0 → x = 3. Check: 2² − 5(2) + 6 = 4 − 10 + 6 = 0 ✓.
GED Math Test #9 2
What is the value of 4³ − √64?