ASVAB Math Knowledge Practice Test 932584 Results

Your Results Global Average
Questions 5 5
Correct 0 3.53
Score 0% 71%

Review

1

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

supplementary, vertical

vertical, supplementary

acute, obtuse

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


2

Simplify (y + 2)(y + 8)

63% Answer Correctly
y2 + 6y - 16
y2 + 10y + 16
y2 - 10y + 16
y2 - 6y - 16

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y + 8)
(y x y) + (y x 8) + (2 x y) + (2 x 8)
y2 + 8y + 2y + 16
y2 + 10y + 16


3

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

First

Inside

Last

Odd


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


4

If a = 3, b = 5, c = 3, and d = 8, what is the perimeter of this quadrilateral?

88% Answer Correctly
19
31
18
15

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 3 + 5 + 3 + 8
p = 19


5

Solve for z:
z2 + z - 56 = 0

58% Answer Correctly
8 or -5
7 or -8
-5 or -9
4 or -2

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 + z - 56 = 0
(z - 7)(z + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 7) or (z + 8) must equal zero:

If (z - 7) = 0, z must equal 7
If (z + 8) = 0, z must equal -8

So the solution is that z = 7 or -8