ASVAB Math Knowledge Practice Test 78839 Results

Your Results Global Average
Questions 5 5
Correct 0 3.55
Score 0% 71%

Review

1

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

88% Answer Correctly

pairs

exponents

addition

division


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.)


2

A coordinate grid is composed of which of the following?

88% Answer Correctly

all of these

origin

y-axis

x-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


3

Which of the following expressions contains exactly two terms?

81% Answer Correctly

polynomial

quadratic

monomial

binomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


4

The endpoints of this line segment are at (-2, -2) and (2, 4). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -3x + 4
y = 2x - 4
y = -x - 1
y = 1\(\frac{1}{2}\)x + 1

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -2) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 1\(\frac{1}{2}\)x + 1


5

The dimensions of this trapezoid are a = 4, b = 3, c = 6, d = 2, and h = 3. What is the area?

50% Answer Correctly
18
7\(\frac{1}{2}\)
22\(\frac{1}{2}\)
22

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(3 + 2)(3)
a = ½(5)(3)
a = ½(15) = \( \frac{15}{2} \)
a = 7\(\frac{1}{2}\)