ASVAB Math Knowledge Practice Test 788995 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

deconstructing

squaring

normalizing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


2

Solve for b:
-5b + 4 = \( \frac{b}{4} \)

46% Answer Correctly
\(\frac{16}{21}\)
\(\frac{2}{5}\)
4
-\(\frac{45}{73}\)

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.

-5b + 4 = \( \frac{b}{4} \)
4 x (-5b + 4) = b
(4 x -5b) + (4 x 4) = b
-20b + 16 = b
-20b + 16 - b = 0
-20b - b = -16
-21b = -16
b = \( \frac{-16}{-21} \)
b = \(\frac{16}{21}\)


3

Simplify (2a)(7ab) - (5a2)(5b).

62% Answer Correctly
39ab2
-11a2b
90a2b
90ab2

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.

(2a)(7ab) - (5a2)(5b)
(2 x 7)(a x a x b) - (5 x 5)(a2 x b)
(14)(a1+1 x b) - (25)(a2b)
14a2b - 25a2b
-11a2b


4

If c = -3 and z = -2, what is the value of 3c(c - z)?

68% Answer Correctly
9
-48
36
40

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.)

3c(c - z)
3(-3)(-3 + 2)
3(-3)(-1)
(-9)(-1)
9


5

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

75% 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°.