ASVAB Math Knowledge Practice Test 162982 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

Simplify (y + 9)(y + 6)

62% Answer Correctly
y2 - 15y + 54
y2 - 3y - 54
y2 + 3y - 54
y2 + 15y + 54

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 + 6)
(y x y) + (y x 6) + (9 x y) + (9 x 6)
y2 + 6y + 9y + 54
y2 + 15y + 54


2

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

bisects

midpoints

intersects

trisects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


3

If a = 2, b = 6, c = 6, and d = 7, what is the perimeter of this quadrilateral?

88% Answer Correctly
21
22
11
16

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 2 + 6 + 6 + 7
p = 21


4

Solve for a:
-5a - 6 < 7 - 9a

54% Answer Correctly
a < 4\(\frac{1}{2}\)
a < 3\(\frac{1}{4}\)
a < \(\frac{4}{7}\)
a < -\(\frac{3}{5}\)

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 - 9a
-5a < 7 - 9a + 6
-5a + 9a < 7 + 6
4a < 13
a < \( \frac{13}{4} \)
a < 3\(\frac{1}{4}\)


5

The dimensions of this cube are height (h) = 7, length (l) = 7, and width (w) = 2. What is the surface area?

51% Answer Correctly
120
100
154
22

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 2) + (2 x 2 x 7) + (2 x 7 x 7)
sa = (28) + (28) + (98)
sa = 154