# PCAT Quantitative Practice Questions

**1. If x = 12, then 2(x – 4) ^{2} =**

A. 96

B. 112

C. 128

D. 84

**2. (a ^{6})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: x ^{2} + 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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