ASVAB Math Knowledge Practice Test 248047 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

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

91% Answer Correctly

addition

pairs

exponents

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

What is the circumference of a circle with a diameter of 16?

71% Answer Correctly
16π
22π
15π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 16π


3

If the base of this triangle is 7 and the height is 9, what is the area?

58% Answer Correctly
31\(\frac{1}{2}\)
22\(\frac{1}{2}\)
35
30

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 9 = \( \frac{63}{2} \) = 31\(\frac{1}{2}\)


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 = 2\(\frac{1}{2}\)x + 1
y = 1\(\frac{1}{2}\)x - 2
y = -\(\frac{1}{2}\)x - 3
y = -2x + 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 -3. 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)
m = -\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x - 3


5

If BD = 11 and AD = 16, AB = ?

76% Answer Correctly
5
9
12
14

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 16 - 11
AB = 5