PARCC Grade 8 Math 2 — Questions and Answers
Question 1: Which number is irrational?
- 0.75
- √16
- √7 (Correct answer)
- 3/8
Correct answer: √7
√7 cannot be written as a ratio of integers, so it is irrational.
Question 2: Solve for x: 5x - 3 = 2x + 12.
- x = 3
- x = 5 (Correct answer)
- x = 9
- x = 15
Correct answer: x = 5
Subtracting 2x and adding 3 gives 3x = 15, so x = 5.
Question 3: What is the value of 2^3 × 2^4?
- 2^7 (Correct answer)
- 2^12
- 4^7
- 2^1
Correct answer: 2^7
Multiplying powers with the same base means adding exponents: 3 + 4 = 7.
Question 4: A line passes through (0, 2) with slope 3. What is its equation?
- y = 3x + 2 (Correct answer)
- y = 2x + 3
- y = 3x - 2
- y = x + 2
Correct answer: y = 3x + 2
Slope-intercept form y = mx + b gives y = 3x + 2.
Question 5: If two angles of a triangle measure 45° and 65°, what is the third angle?
- 60°
- 70° (Correct answer)
- 80°
- 90°
Correct answer: 70°
Angles in a triangle sum to 180°, so 180 - 45 - 65 = 70°.
Question 6: What is the cube root of 27?
- 3 (Correct answer)
- 9
- 6
- 13.5
Correct answer: 3
3 × 3 × 3 = 27, so the cube root of 27 is 3.
Question 7: Which represents a function?
- {(1,2),(1,3),(2,4)}
- {(1,2),(2,2),(3,2)} (Correct answer)
- {(2,1),(2,3),(4,5)}
- {(0,0),(0,1),(1,2)}
Correct answer: {(1,2),(2,2),(3,2)}
A function assigns exactly one output to each input, and no input repeats here.
Which number is irrational?