ASVAB Math Knowledge Practice Test 407798 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

If a = -7 and x = 2, what is the value of -4a(a - x)?

68% Answer Correctly
336
-252
-144
-12

Solution

To solve this equation, 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.)

-4a(a - x)
-4(-7)(-7 - 2)
-4(-7)(-9)
(28)(-9)
-252


2

If a = c = 2, b = d = 3, and the blue angle = 52°, what is the area of this parallelogram?

66% Answer Correctly
63
28
6
64

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 2 x 3
a = 6


3

If angle a = 62° and angle b = 54° what is the length of angle d?

56% Answer Correctly
157°
121°
118°
119°

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° - 62° - 54° = 64°

So, d° = 54° + 64° = 118°

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° - 62° = 118°


4

What is 9a5 - 3a5?

73% Answer Correctly
27a10
12a10
12
6a5

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a5 - 3a5 = 6a5


5

Solve for z:
z2 + z - 19 = 4z - 1

48% Answer Correctly
-4 or -6
-3 or 6
4 or -4
6 or -9

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

z2 + z - 19 = 4z - 1
z2 + z - 19 + 1 = 4z
z2 + z - 4z - 18 = 0
z2 - 3z - 18 = 0

Next, factor the quadratic equation:

z2 - 3z - 18 = 0
(z + 3)(z - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 3) or (z - 6) must equal zero:

If (z + 3) = 0, z must equal -3
If (z - 6) = 0, z must equal 6

So the solution is that z = -3 or 6