ASVAB Math Knowledge Practice Test 372256 Results

Your Results Global Average
Questions 5 5
Correct 0 2.70
Score 0% 54%

Review

1

If angle a = 63° and angle b = 58° what is the length of angle c?

71% Answer Correctly
59°
87°
117°
86°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 63° - 58° = 59°


2

Solve -3c + 7c = -4c - 4y - 6 for c in terms of y.

34% Answer Correctly
9y - 7
y - 1
-y - 1
-11y - 6

Solution

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

-3c + 7y = -4c - 4y - 6
-3c = -4c - 4y - 6 - 7y
-3c + 4c = -4y - 6 - 7y
c = -11y - 6


3

Factor y2 - 4y - 45

54% Answer Correctly
(y - 9)(y - 5)
(y + 9)(y - 5)
(y + 9)(y + 5)
(y - 9)(y + 5)

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 -45 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -9 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 4y - 45
y2 + (-9 + 5)y + (-9 x 5)
(y - 9)(y + 5)


4

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

radius

diameter

circumference

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


5

Simplify (5a)(5ab) + (6a2)(5b).

65% Answer Correctly
110a2b
55a2b
110ab2
5a2b

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.

(5a)(5ab) + (6a2)(5b)
(5 x 5)(a x a x b) + (6 x 5)(a2 x b)
(25)(a1+1 x b) + (30)(a2b)
25a2b + 30a2b
55a2b