PCAT Quantitative Practice Questions

1. If x = 12, then 2(x - 4)² =
A: 96
B: 112
C: 128
D: 84

2. (a⁶)¹²
A: a¹⁸
B: a⁶
C: a⁷²
D: a¹⁰

3. What is the slope of the line that passes through (-4, 6) and (3, -3)?
A: 9/7
B: 3/2
C: -3/2
D: -9/7

4. 23.464 - 1.9599 =
A: 22.6801
B: 21.799
C: 22.098
D: 21.6801

5. What is 17% of 6?
A: 1.12
B: 1.22
C: .092
D: 1.02

6. What is the y-intercept of the line expressed in the equation 3x + 2y = 6 ?
A: 2/3
B: 3
C: -3
D: -3/2

7. Factor: x² + 4x - 5
A: (x + 5)(x - 1)
B: (x + 4)(x + 1)
C: (x - 3)(x - 4)
D: (x + 7)(x - 3)

8. 4/5 + .895 + 78% =
A: 2.56%
B: 2.475
C: 2.785
D: 2.697

9. What is the slope of the line expressed in the equation 6x + 9y = 4 ?
A: 2/3
B: -3
C: -2/3
D: 3

10. If y = 3, then 4^y + y(5 + 6) =
A: 91
B: 86
C: 81
D: 97

Answer Key

1. C. Substitute the given value for x into the equation, and remember the order of operations.

2. C. In this case, the exponents should be multiplied together.

3. D. The equation for slope when two sets of coordinates are given is (y2 - y1)/(x2 - x1).

4. D. This problem may be easier to complete if it is arranged vertically.

5. D. Multiply 6 by 0.17.

6. B. The equation can be rearranged into the form y = mx + b, in which b is the x-intercept.

7. A. Factor the polynomial by multiplying according to FOIL: first, outer, inner, last.

8. B. Before adding, convert 4/5 and 78% to decimals.

9. C. Convert the equation to the form y = mx + b, in which m is slope.

10. D. Substitute the given value for y into the equation.

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