Math Practice Test Set 1 - My Career Tools

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1. Factor the expression. \(16r^{2} − 56r + 49\)

A.\((8r − 7)(2r − 7)\)

B.\((16r − 7)(r − 7)\)

C.\((4r − 49)(4r − 1)\)

D.\((4r − 7)(4r − 7) = (4r − 7)^{2}\)

Question 1 of 10

2. Peter is dividing a regular deck of 52 cards in half and choosing a card at random. What is the probability of choosing a Jack, if he happens to divide the deck perfectly into black cards and red cards and then chooses from the red cards?

A.\(\frac{1}{13}\)

B.\(\frac{2}{13}\)

C.\(\frac{1}{2}\)

D.\(\frac{1}{4}\)

Question 2 of 10

3. \(\frac{x^{2}+3}{x(x+5)}\)

Find the values that make this rational expression undefined.

A.x = 0 or −5

B.x = 0 or 7

C.x = 0 or 5

D.x = 2 or 4

Question 3 of 10

Math-Exponents

4. Simplify the given exponential expression.

\(2^{5} \cdot 2^{3}\)

A.\(2^{8} \)

B.\(-2^{8} \)

C.\(2^{1} \)

D.\(1^{2} \)

Question 4 of 10

Math-Percent of number

5. 60% of what number is 90?

A.150

B.90

C.75

D.145

Question 5 of 10

Math- Equations

6. Solve the given equation for x.

−4x − 4 = 16

A.−5

B.−6

C.5

D.10

Question 6 of 10

Math-Solution of equations

7. Determine k so that the point (−1, k) is a solution of y = −5x + 3.

A.k = 8

B.k = 7

C.k =16

D.k = 4

Question 7 of 10

Math-Square Roots

8. List all square roots of the given number. If the number has no square roots, choose “none”.

144

A.12, -12

B.10, -10

C.11, 12

D.-12, -10

Question 8 of 10

Math-Percent to decimal

9. Convert the given percent to a decimal.

124%

A.1.24

B.12.4

C.0.124

D.124

Question 9 of 10

Math-Word problems

10. The number −6 is 2 more than an unknown number. Find the unknown number.

A.-8

B.8

C.-4

D.4

Question 10 of 10