CPT and FCELPT Sample Elementary Algebra Questions

1. If A represents the number of apples purchased at 15 cents each and B represents the number of bananas purchased at 10 cents each, which of the following represents the total value of the purchases?

a. A + B
b. 25(A + B)
c. 10A + 15B
d. 15A + 10B

2. √2 x √15 =

a. 17
b. 30
c. √30
d. √17

3. The Greens scored twice as many points as the Yellows. If the Greens scored 28 points, how many points did the Yellows score?

a. N / 2
b. N + 2 = 28
c. 2N = 28
d. N = 28 x 2

4. In the figure above, both circles have the same center, and the radius of the larger circle is R. If the radius of the smaller circle is 3 units less than R, which of the following represents the area of the shaded regions?

a. πR²
b. π(R – 3)²
c. πR² – π x 3²
d. πR² – π(R – 3)²

5. (3x – 2y)² =

a. 9x² – 4y²
b. 9x² + 4y²
c. 9x² + 4y² – 6xy
d. 9x² + 4y² – 12xy

6. If x = -2 and y = 5, then x³y =

a. -40
b. -30
c. 30
d. 40

7. | 3 – 8 |=

a. -11
b. -5
c. 5
d. 11

8. Which of the following is a factor of x² + x – 12?

a. (x – 2)
b. (x – 3)
c. (x – 4)
d. (x – 6)