ASVAB Math Knowledge Practice Test 662891 Results

Your Results Global Average
Questions 5 5
Correct 0 2.98
Score 0% 60%

Review

1

Simplify (y + 1)(y + 2)

63% Answer Correctly
y2 + 3y + 2
y2 + y - 2
y2 - 3y + 2
y2 - y - 2

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 + 1)(y + 2)
(y x y) + (y x 2) + (1 x y) + (1 x 2)
y2 + 2y + y + 2
y2 + 3y + 2


2

On this circle, line segment CD is the:

46% Answer Correctly

radius

circumference

chord

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

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

47% Answer Correctly

a2 - c2

c2 + a2

c2 - a2

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, \(c = \sqrt{a + b}\)


4

On this circle, line segment AB is the:

70% Answer Correctly

radius

diameter

circumference

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


5

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can subtract monomials that have the same variable and the same exponent

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can multiply monomials that have different variables and different exponents


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.