ASVAB Math Knowledge Practice Test 555995 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

Simplify (4a)(4ab) + (7a2)(3b).

65% Answer Correctly
5ab2
5a2b
37a2b
80ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(4ab) + (7a2)(3b)
(4 x 4)(a x a x b) + (7 x 3)(a2 x b)
(16)(a1+1 x b) + (21)(a2b)
16a2b + 21a2b
37a2b


2

Simplify (4a)(4ab) - (2a2)(4b).

59% Answer Correctly
8a2b
24a2b
48ab2
48a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(4ab) - (2a2)(4b)
(4 x 4)(a x a x b) - (2 x 4)(a2 x b)
(16)(a1+1 x b) - (8)(a2b)
16a2b - 8a2b
8a2b


3

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

division

pairs

exponents

addition


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


4

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

acute, obtuse, right

right, acute, obtuse

acute, right, obtuse

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

y-intercept

\({\Delta y \over \Delta x}\)

slope

x-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.