ASVAB Math Knowledge Practice Test 215033 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

Solve for y:
y2 + 5y - 36 = 0

58% Answer Correctly
4 or -9
4 or 1
7 or -2
9 or -7

Solution

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

y2 + 5y - 36 = 0
(y - 4)(y + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 4) or (y + 9) must equal zero:

If (y - 4) = 0, y must equal 4
If (y + 9) = 0, y must equal -9

So the solution is that y = 4 or -9


2

Which of the following statements about a triangle is not true?

57% Answer Correctly

area = ½bh

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

sum of interior angles = 180°


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


3

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

obtuse, acute

vertical, supplementary

acute, obtuse


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).


4

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

expression

equation

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


5

What is 4a8 + 9a8?

75% Answer Correctly
36a16
-5a16
13a8
36a8

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.

4a8 + 9a8 = 13a8