ASVAB Math Knowledge Practice Test 823603 Results

Your Results Global Average
Questions 5 5
Correct 0 3.80
Score 0% 76%

Review

1

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

91% Answer Correctly

addition

exponents

division

pairs
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

Which of the following expressions contains exactly two terms?

83% Answer Correctly

polynomial

monomial

quadratic

binomial
Solution

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

3

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

75% Answer Correctly

factoring

squaring

deconstructing

normalizing
Solution

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

4

If AD = 26 and BD = 17, AB = ?

76% Answer Correctly
9
10
3
17
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 = 26 - 17
AB = 9

5

Factor y2 + 4y + 3

54% Answer Correctly
(y - 1)(y + 3)
(y + 1)(y + 3)
(y - 1)(y - 3)
(y + 1)(y - 3)
Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 3 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are 1 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 4y + 3
y2 + (1 + 3)y + (1 x 3)
(y + 1)(y + 3)