ASVAB Math Knowledge Practice Test 282927 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

If angle a = 60° and angle b = 23° what is the length of angle c?

70% Answer Correctly
84°
108°
97°
104°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 23° = 97°


2

Solve for y:
y2 - y - 17 = -2y - 5

48% Answer Correctly
7 or 5
3 or -4
7 or -7
5 or -6

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y2 - y - 17 = -2y - 5
y2 - y - 17 + 5 = -2y
y2 - y + 2y - 12 = 0
y2 + y - 12 = 0

Next, factor the quadratic equation:

y2 + y - 12 = 0
(y - 3)(y + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 3) or (y + 4) must equal zero:

If (y - 3) = 0, y must equal 3
If (y + 4) = 0, y must equal -4

So the solution is that y = 3 or -4


3

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

59% Answer Correctly
84a2b
84ab2
-25a2b
25ab2

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)(5ab) - (5a2)(7b)
(2 x 5)(a x a x b) - (5 x 7)(a2 x b)
(10)(a1+1 x b) - (35)(a2b)
10a2b - 35a2b
-25a2b


4

If a = c = 9, b = d = 2, and the blue angle = 67°, what is the area of this parallelogram?

65% Answer Correctly
18
9
16
45

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 9 x 2
a = 18


5

Simplify (5a)(7ab) + (3a2)(8b).

65% Answer Correctly
132ab2
59a2b
132a2b
-11a2b

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)(7ab) + (3a2)(8b)
(5 x 7)(a x a x b) + (3 x 8)(a2 x b)
(35)(a1+1 x b) + (24)(a2b)
35a2b + 24a2b
59a2b