ASVAB Math Knowledge Practice Test 712485 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

If a = 6, b = 9, c = 3, and d = 7, what is the perimeter of this quadrilateral?

88% Answer Correctly
25
26
23
14

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 6 + 9 + 3 + 7
p = 25


2

Simplify (y + 4)(y + 3)

64% Answer Correctly
y2 + 7y + 12
y2 - y - 12
y2 - 7y + 12
y2 + y - 12

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 + 4)(y + 3)
(y x y) + (y x 3) + (4 x y) + (4 x 3)
y2 + 3y + 4y + 12
y2 + 7y + 12


3

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all acute angles equal each other

angles in the same position on different parallel lines are called corresponding angles

same-side interior angles are complementary and equal each other

all of the angles formed by a transversal are called interior angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


4

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

lw x wh + lh

2lw x 2wh + 2lh

h x l x w

h2 x l2 x w2


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


5

If b = -2 and y = 2, what is the value of 6b(b - y)?

68% Answer Correctly
48
-64
200
-72

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

6b(b - y)
6(-2)(-2 - 2)
6(-2)(-4)
(-12)(-4)
48