ASVAB Math Knowledge Practice Test 558403 Results

Your Results Global Average
Questions 5 5
Correct 0 3.47
Score 0% 69%

Review

1

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

quadrilateral

trapezoid

triangle

rhombus
Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

2

A coordinate grid is composed of which of the following?

91% Answer Correctly

origin

x-axis

y-axis

all of these
Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

3

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

91% Answer Correctly

division

addition

pairs

exponents
Solution

When solving an equation with two variables, 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.)

4

Simplify (y - 8)(y + 2)

64% Answer Correctly
y2 + 6y - 16
y2 - 6y - 16
y2 + 10y + 16
y2 - 10y + 16
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 + 2)
(y x y) + (y x 2) + (-8 x y) + (-8 x 2)
y2 + 2y - 8y - 16
y2 - 6y - 16

5

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

c2 - a2

a2 - c2

c - a
Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)