ASVAB Math Knowledge Practice Test 528413 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

Solve for c:
3c - 4 = 1 - 5c

60% Answer Correctly
\(\frac{5}{8}\)
2
\(\frac{3}{4}\)
-\(\frac{3}{7}\)

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.

3c - 4 = 1 - 5c
3c = 1 - 5c + 4
3c + 5c = 1 + 4
8c = 5
c = \( \frac{5}{8} \)
c = \(\frac{5}{8}\)


2

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

55% Answer Correctly

equilateral and isosceles

equilateral and right

isosceles and right

equilateral, isosceles 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.


3

On this circle, a line segment connecting point A to point D is called:

47% Answer Correctly

radius

circumference

diameter

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).


4

Simplify (2a)(4ab) - (7a2)(8b).

63% Answer Correctly
48ab2
64ab2
64a2b
-48a2b

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.

(2a)(4ab) - (7a2)(8b)
(2 x 4)(a x a x b) - (7 x 8)(a2 x b)
(8)(a1+1 x b) - (56)(a2b)
8a2b - 56a2b
-48a2b


5

What is the circumference of a circle with a radius of 18?

71% Answer Correctly
18π
36π
12π
26π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 18)
c = 36π