CPT Algebra

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?

1. A + B
2. 25(A + B)
3. 10A + 15B
4. 15A + 10B

2. √2 * √15 =

1. 17
2. 30
3. √30
4. √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?

1. N / 2
2. N + 2 = 28
3. 2N = 28
4. 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?

1. πR2
2. π(R – 3)2
3. πR2 – π x 32
4. πR2 – π(R – 3)2

5. (3x – 2y)2 =

1. 9x2 – 4y2
2. 9x2 + 4y2
3. 9x2 + 4y2 – 6xy
4. 9x2 + 4y2 – 12xy

6. If x = -2 and y = 5, then x3y =

1. -40
2. -30
3. 30
4. 40

7. | 3 – 8 |=

1. -11
2. -5
3. 5
4. 11

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

1. (x – 2)
2. (x – 3)
3. (x – 4)
4. (x – 6)