ASVAB Math Knowledge Practice Test 209646 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

Solve for y:
-4y - 9 = -4 - 5y

59% Answer Correctly
1\(\frac{3}{5}\)
1\(\frac{1}{4}\)
1\(\frac{1}{6}\)
5

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-4y - 9 = -4 - 5y
-4y = -4 - 5y + 9
-4y + 5y = -4 + 9
y = 5


2

If angle a = 70° and angle b = 63° what is the length of angle d?

56% Answer Correctly
147°
135°
110°
120°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 70° - 63° = 47°

So, d° = 63° + 47° = 110°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 70° = 110°


3

Solve for c:
9c + 5 < \( \frac{c}{-5} \)

44% Answer Correctly
c < \(\frac{24}{31}\)
c < -\(\frac{25}{46}\)
c < \(\frac{5}{13}\)
c < -2\(\frac{14}{17}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

9c + 5 < \( \frac{c}{-5} \)
-5 x (9c + 5) < c
(-5 x 9c) + (-5 x 5) < c
-45c - 25 < c
-45c - 25 - c < 0
-45c - c < 25
-46c < 25
c < \( \frac{25}{-46} \)
c < -\(\frac{25}{46}\)


4

What is the area of a circle with a diameter of 6?

69% Answer Correctly
64π
16π
81π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


5

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

88% Answer Correctly

exponents

addition

pairs

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.)