ASVAB Math Knowledge Practice Test 95133 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

Review

1

Factor y2 + 4y - 21

54% Answer Correctly
(y + 3)(y - 7)
(y - 3)(y + 7)
(y - 3)(y - 7)
(y + 3)(y + 7)

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 -21 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are -3 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 4y - 21
y2 + (-3 + 7)y + (-3 x 7)
(y - 3)(y + 7)


2

If a = c = 9, b = d = 7, what is the area of this rectangle?

80% Answer Correctly
54
16
27
63

Solution

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

a = l x w
a = a x b
a = 9 x 7
a = 63


3

If angle a = 61° and angle b = 27° what is the length of angle c?

71% Answer Correctly
120°
92°
61°
51°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 27° = 92°


4

Solve for a:
5a - 6 < 7 - 7a

55% Answer Correctly
a < -1\(\frac{1}{6}\)
a < -2\(\frac{2}{3}\)
a < 1\(\frac{1}{12}\)
a < \(\frac{1}{2}\)

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 < sign and the answer on the other.

5a - 6 < 7 - 7a
5a < 7 - 7a + 6
5a + 7a < 7 + 6
12a < 13
a < \( \frac{13}{12} \)
a < 1\(\frac{1}{12}\)


5

Simplify (y - 8)(y + 1)

63% Answer Correctly
y2 - 9y + 8
y2 + 7y - 8
y2 - 7y - 8
y2 + 9y + 8

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 - 8)(y + 1)
(y x y) + (y x 1) + (-8 x y) + (-8 x 1)
y2 + y - 8y - 8
y2 - 7y - 8