PSAT/NMSQT Algebra & Functions 2 — Questions and Answers
Question 1: If 3x - 7 = 11, what is the value of x?
- 6 (Correct answer)
- 4
- 9
- 18
Correct answer: 6
Add 7 to both sides to get 3x = 18, then divide by 3 to get x = 6.
Question 2: What is the slope of the line passing through the 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 3: If f(x) = 2x^2 - 3, what is f(4)?
- 29 (Correct answer)
- 13
- 61
- 5
Correct answer: 29
f(4) = 2(16) - 3 = 32 - 3 = 29.
Question 4: Which expression is equivalent to 4(x + 3) - 2x?
- 2x + 12 (Correct answer)
- 2x + 3
- 6x + 12
- 2x + 7
Correct answer: 2x + 12
Distribute to get 4x + 12 - 2x, which simplifies to 2x + 12.
Question 5: If 5x + 2y = 20 and x = 2, what is the value of y?
- 5 (Correct answer)
- 10
- 4
- 15
Correct answer: 5
Substitute x = 2 to get 10 + 2y = 20, so 2y = 10 and y = 5.
Question 6: What are the solutions to x^2 - 5x + 6 = 0?
- x = 2 and x = 3 (Correct answer)
- x = -2 and x = -3
- x = 1 and x = 6
- x = -1 and x = 6
Correct answer: x = 2 and x = 3
The expression factors to (x - 2)(x - 3) = 0, giving x = 2 and x = 3.
Question 7: A line has the equation y = -3x + 7. What is its y-intercept?
- 7 (Correct answer)
- -3
- 3
- -7
Correct answer: 7
In slope-intercept form y = mx + b, the y-intercept b is 7.
PSAT/NMSQT Algebra & Functions 2
If 3x - 7 = 11, what is the value of x?