PARCC Grade 8 Math 3 — Questions and Answers
Question 1: What is 4.5 × 10^6 written in standard form?
- 450,000
- 4,500,000 (Correct answer)
- 45,000,000
- 4,500
Correct answer: 4,500,000
Moving the decimal six places right gives 4,500,000.
Question 2: Solve the system: y = x + 1 and y = 2x - 3.
- (4, 5) (Correct answer)
- (2, 3)
- (1, 2)
- (5, 4)
Correct answer: (4, 5)
Setting x + 1 = 2x - 3 gives x = 4 and y = 5.
Question 3: A right triangle has legs 6 and 8. What is the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 48
Correct answer: 10
By the Pythagorean theorem, √(36 + 64) = √100 = 10.
Question 4: What is the slope of the line through (2, 3) and (6, 11)?
- 1
- 2 (Correct answer)
- 4
- 8
Correct answer: 2
Slope = (11 - 3)/(6 - 2) = 8/4 = 2.
Question 5: Simplify: 3^(-2).
- -9
- -6
- 1/9 (Correct answer)
- 1/6
Correct answer: 1/9
A negative exponent means the reciprocal: 3^(-2) = 1/3² = 1/9.
Question 6: A scatter plot shows points rising left to right. The association is:
- Negative
- Positive (Correct answer)
- No association
- Nonlinear
Correct answer: Positive
Points rising as x increases indicate a positive association.
Question 7: What is the volume of a cylinder with radius 3 and height 5? (Use π ≈ 3.14)
- 47.1
- 141.3 (Correct answer)
- 94.2
- 70.65
Correct answer: 141.3
V = πr²h = 3.14 × 9 × 5 = 141.3.
PARCC Grade 8 Math 3
What is 4.5 × 10^6 written in standard form?