ASVAB Arithmetic Reasoning Practice Test 645922 Results

Your Results Global Average
Questions 5 5
Correct 0 3.37
Score 0% 67%

Review

1

What is b6 x 5b5?

75% Answer Correctly
5b30
5b11
5b
5b5

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

b6 x 5b5
(1 x 5)b(6 + 5)
5b11


2

Which of the following statements about exponents is false?

47% Answer Correctly

all of these are false

b0 = 1

b1 = b

b1 = 1


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


3

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Roger buys two shirts, each with a regular price of $15, how much money will he save?

70% Answer Correctly
$1.50
$2.25
$3.00
$6.00

Solution

By buying two shirts, Roger will save $15 x \( \frac{10}{100} \) = \( \frac{$15 x 10}{100} \) = \( \frac{$150}{100} \) = $1.50 on the second shirt.


4

Which of the following is a mixed number?

82% Answer Correctly

\({7 \over 5} \)

\({5 \over 7} \)

\(1 {2 \over 5} \)

\({a \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.


5

What is -x5 + 7x5?

66% Answer Correctly
6x-10
-8x5
6x5
6x10

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-1x5 + 7x5
(-1 + 7)x5
6x5