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. 12
B. 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+B
B. 0.25(A+B)
C. 0.10A + 0.15B
D. 0.15A + 0.10B

[Answer]

Question 3

16x - 8 =

A. 8x
B. 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+B
B. 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/2
B. N+2=28
C. 2N=28
D. N=28 x 2

[Answer]

Question 6:

(3x-2y)² =

A. 9x² - 4y²
B. 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. ?R²
B. ?(R-3)²
C. ?R² - ?*3²
D. ?R² - ?(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. ?R² - ?(R-3)²