## Sample Algebra Questions

**Question 1**

If a number is divided by 4 and then 3 is subtracted, the result is 0. What is the number?

A. 12B. 4

C. 3

D. 2

[Answer]

**Question 2**

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

A. A+BB. 0.25(A+B)

C. 0.10A + 0.15B

D. 0.15A + 0.10B

[Answer]

**Question 3**

16x - 8 =

A. 8xB. 8(2x - x)

C. 8(2x - 1)

D. 8(2x - 8)

[Answer]

**Question 4:**

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+BB. 25(A+B)

C. 10A + 15B

D. 15A + 10B

[Answer]

**Question 5:**

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/2B. N+2=28

C. 2N=28

D. N=28 x 2

[Answer]

**Question 6:**

(3x-2y)² =

A. 9x² - 4y²B. 9x² + 4y²

C. 9x² + 4y² - 6xy

D. 9x² + 4y² - 12xy

[Answer]

**Question 7:**

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 region?

A. ?R^{2}

B. ?(R-3)^{2}

C. ?R^{2} - ?*3^{2}

D. ?R^{2} - ?(R-3)^{2}

[Answer]

**Answers**

1. - A. 12

2. - D. 0.15A + 0.10B

3. - C. 8(2x - 1)

4. - D. 15A + 10B

5. - C. 2N=28

6. - D. 9x² + 4y² - 12xy

7. - D. ?R^{2} - ?(R-3)^{2}