PARCC Algebra Practice Test 3 — Questions and Answers
Question 1: A line has equation y = -2x + 7. What is its y-intercept?
- 7 (Correct answer)
- -2
- -7
- 2
Correct answer: 7
In y = mx + b form, b = 7 is the y-intercept.
Question 2: Simplify: (3x²)(4x³).
- 12x⁵ (Correct answer)
- 7x⁵
- 12x⁶
- 7x⁶
Correct answer: 12x⁵
Multiply coefficients (12) and add exponents (5) to get 12x⁵.
Question 3: Solve for y: 2y/3 = 8.
- 12 (Correct answer)
- 16/3
- 5.33
- 24
Correct answer: 12
Multiply both sides by 3/2 to get y = 12.
Question 4: If a system is x + y = 10 and x - y = 4, what is x?
- 7 (Correct answer)
- 3
- 6
- 5
Correct answer: 7
Adding the equations gives 2x = 14, so x = 7.
Question 5: What is the value of the expression 2³ + 3²?
- 17 (Correct answer)
- 13
- 25
- 36
Correct answer: 17
2³ = 8 and 3² = 9, and 8 + 9 = 17.
Question 6: Which is the vertex form of y = (x - 3)² + 2?
- Vertex at (3, 2) (Correct answer)
- Vertex at (-3, 2)
- Vertex at (3, -2)
- Vertex at (2, 3)
Correct answer: Vertex at (3, 2)
In y = (x - h)² + k, the vertex is (h, k) = (3, 2).
Question 7: Solve: |x - 4| = 6.
- x = 10 or x = -2 (Correct answer)
- x = 10 only
- x = -2 only
- x = 2 or x = -10
Correct answer: x = 10 or x = -2
x - 4 = 6 gives x = 10, and x - 4 = -6 gives x = -2.
PARCC Algebra Practice Test 3
A line has equation y = -2x + 7.
What is its y-intercept?