ASVAB Math Knowledge Practice Test 655621 Results

Your Results Global Average
Questions 5 5
Correct 0 2.94
Score 0% 59%

Review

1

On this circle, line segment CD is the:

46% Answer Correctly

circumference

diameter

chord

radius


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).


2

Solve for y:
2y - 6 = -3 + y

59% Answer Correctly
3
-1\(\frac{1}{2}\)
\(\frac{4}{9}\)
-\(\frac{1}{2}\)

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 equal sign and the answer on the other.

2y - 6 = -3 + y
2y = -3 + y + 6
2y - y = -3 + 6
y = 3


3

Simplify (5a)(9ab) + (9a2)(4b).

65% Answer Correctly
9a2b
81a2b
-9ab2
81ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(9ab) + (9a2)(4b)
(5 x 9)(a x a x b) + (9 x 4)(a2 x b)
(45)(a1+1 x b) + (36)(a2b)
45a2b + 36a2b
81a2b


4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

all of these statements are correct

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

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.


5

Which types of triangles will always have at least two sides of equal length?

53% Answer Correctly

isosceles and right

equilateral, isosceles and right

equilateral and isosceles

equilateral and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.