# Free CUNY Math Practice Test

**1. In scientific notation, 46,000 + 25,600,000 =**

A: 2.606 x 10^{8}

B: 2.5646 x 10^{-7}

C: 2.5646 x 10^{7}

D: 2.5646 x 10^{-8}

**2. What value of x solves the following proportion: 12/4 = 18/x ?**

A: 8

B: 5

C: 7

D: 6

**3. If one-third of the birds in a tree are black, and there are 8 black birds in the tree, how many birds in all are in the tree?**

A: 24

B: 8

C: 16

D: 20

**4. Solve: 1/2(2/3 + 1/6) =**

A: 5/12

B: 1/2

C: 3/4

D: 3/5

**5. Which of the following is equivalent to 5 x – 6y + (-3x – 5y) ?**

A: 2

*x*– 11

*y*

B: -9

*xy*

C: 8

*x*–

*y*

D: -2

*x*+11

*y*

**6. Which of the following is a factor of the polynomial x^{2} – 4x– 5 ?**

A: (

*x*– 1)

B: (

*x*+ 4)

C: (

*x*– 5)

D: (

*x*– 3)

**7. If 3( y + 4) = 27, then y =**

A: 5

B: 4

C: 7

D: 3

**8. What is the slope of the line with the equation 4 x + 3y = 8?**

A: 4/3

B: 3/4

C: -3/4

D: -4/3

**9. What is the next term in the geometric sequence 10, -5, 2 1/2, ____.?**

A: -1 1/4

B: 1 1/4

C: 2

D: -2

**10. In an arithmetic series, there are equal intervals between each of the terms, as for instance 2 + 5 + 8 + 11. If the first term in an arithmetic series is 5, the last term is 25, and the sum of the terms is 90, what is the third term?**

A: 17

B: 13

C: 9

D: 21

## Answer Key

1. C. Add the numbers together, then shift the decimal point seven places to the left (until the number is between one and ten).

2. D. The problem can be solved by cross-multiplying. The left side of the equation can be simplified.

3. A. This problem can be set up as the equation 1/3*x* = 8, in which *x* is the number of birds in the tree.

4. A. Perform the addition by finding a common denominator, then perform the multiplication.

5. A. Remember that the terms including unlike variables cannot be combined.

6. C. The other factor will be (*x* + 1).

7. A. Solve the first equation for *y* by dividing 27 by 3 and then subtracting 9.

8. D. The equation for slope is *y* = *mx* + *b*, in which *m* is the slope.

9. A. Each successive number in the series is found by multiplying the previous number by -2.

10. B. The trial-and-error method is most appropriate for solving this kind of problem.

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