ASVAB Math Knowledge Practice Test 844042 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

Simplify (y - 9)(y + 8)

64% Answer Correctly
y2 + 17y + 72
y2 - y - 72
y2 - 17y + 72
y2 + y - 72

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 - 9)(y + 8)
(y x y) + (y x 8) + (-9 x y) + (-9 x 8)
y2 + 8y - 9y - 72
y2 - y - 72


2

If a = c = 3, b = d = 2, and the blue angle = 70°, what is the area of this parallelogram?

66% Answer Correctly
6
14
5
24

Solution

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

a = l x w
a = a x b
a = 3 x 2
a = 6


3

What is 7a - 2a?

80% Answer Correctly
5
14a
5a
14a2

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.

7a - 2a = 5a


4

Solve for y:
2y + 5 = \( \frac{y}{-7} \)

46% Answer Correctly
-2\(\frac{1}{3}\)
-6\(\frac{6}{7}\)
-3
\(\frac{24}{37}\)

Solution

To solve this equation, 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.

2y + 5 = \( \frac{y}{-7} \)
-7 x (2y + 5) = y
(-7 x 2y) + (-7 x 5) = y
-14y - 35 = y
-14y - 35 - y = 0
-14y - y = 35
-15y = 35
y = \( \frac{35}{-15} \)
y = -2\(\frac{1}{3}\)


5

If angle a = 47° and angle b = 61° what is the length of angle c?

71% Answer Correctly
52°
99°
72°
61°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 47° - 61° = 72°