PARCC Algebra 3 — Questions and Answers
Question 1: What is the y-intercept of the line y = -2x + 7?
- 7 (Correct answer)
- -2
- -7
- 2
Correct answer: 7
In y = mx + b, b is the y-intercept, which is 7.
Question 2: Solve the system: y = x + 1 and y = 2x - 3.
- (4, 5) (Correct answer)
- (5, 4)
- (2, 3)
- (1, 2)
Correct answer: (4, 5)
Set x + 1 = 2x - 3 to get x = 4, then y = 5.
Question 3: Expand: (x + 4)(x - 2).
- x^2 + 2x - 8 (Correct answer)
- x^2 - 2x - 8
- x^2 + 6x - 8
- x^2 - 8
Correct answer: x^2 + 2x - 8
FOIL gives x^2 - 2x + 4x - 8 = x^2 + 2x - 8.
Question 4: If 5x = 35, what is the value of x?
- 7 (Correct answer)
- 30
- 40
- 5
Correct answer: 7
Divide both sides by 5 to get x = 7.
Question 5: What is the value of 2^3 + 3^2?
- 17 (Correct answer)
- 13
- 36
- 25
Correct answer: 17
2^3 = 8 and 3^2 = 9, so the sum is 17.
Question 6: Solve for y: 4y + 8 = 0.
- y = -2 (Correct answer)
- y = 2
- y = -8
- y = 8
Correct answer: y = -2
Subtract 8 to get 4y = -8, then y = -2.
Question 7: Which expression is equivalent to x^2 · x^3?
- x^5 (Correct answer)
- x^6
- x^1
- 2x^5
Correct answer: x^5
When multiplying like bases, add exponents: x^(2+3) = x^5.
PARCC Algebra 3
What is the y-intercept of the line y = -2x + 7?