SBAC Grade 8 Math 3 — Questions and Answers
Question 1: What is the slope of the line through points (2, 3) and (6, 11)?
- 2 (Correct answer)
- 4
- 1/2
- 8
Correct answer: 2
Slope = (11 - 3)/(6 - 2) = 8/4 = 2.
Question 2: Solve for x: 4x - 7 = 2x + 9.
- 8 (Correct answer)
- 4
- 16
- 2
Correct answer: 8
Subtract 2x and add 7: 2x = 16, so x = 8.
Question 3: A line has equation y = -3x + 5. What is its y-intercept?
- 5 (Correct answer)
- -3
- 3
- -5
Correct answer: 5
In y = mx + b, the y-intercept b is 5.
Question 4: Which equation represents a line with slope 0?
- y = 4 (Correct answer)
- x = 4
- y = 4x
- y = x + 4
Correct answer: y = 4
A horizontal line y = 4 has slope 0.
Question 5: How many solutions does 3x + 6 = 3x + 6 have?
- Infinitely many (Correct answer)
- One
- None
- Two
Correct answer: Infinitely many
Both sides are identical, so every value of x is a solution.
Question 6: Solve for x: 2(x + 3) = 14.
- 4 (Correct answer)
- 7
- 5
- 8
Correct answer: 4
Divide by 2 to get x + 3 = 7, so x = 4.
Question 7: What is the slope of the line y = 7?
- 0 (Correct answer)
- 7
- 1
- Undefined
Correct answer: 0
A horizontal line has a slope of 0.
What is the slope of the line through points (2, 3) and (6, 11)?