ASVAB Math Knowledge Practice Test 557724 Results

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

Review

1

Solve for b:
4b - 8 = 1 - 9b

58% Answer Correctly
\(\frac{9}{13}\)
-4\(\frac{1}{2}\)
-\(\frac{3}{7}\)
\(\frac{1}{2}\)

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.

4b - 8 = 1 - 9b
4b = 1 - 9b + 8
4b + 9b = 1 + 8
13b = 9
b = \( \frac{9}{13} \)
b = \(\frac{9}{13}\)


2

Simplify 3a x 3b.

85% Answer Correctly
9\( \frac{a}{b} \)
9a2b2
9ab
6ab

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.

3a x 3b = (3 x 3) (a x b) = 9ab


3

A cylinder with a radius (r) and a height (h) has a surface area of:

52% Answer Correctly

π r2h2

2(π r2) + 2π rh

π r2h

4π r2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


4

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

53% Answer Correctly

equilateral and isosceles

equilateral and right

equilateral, isosceles and right

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.


5

On this circle, line segment CD is the:

46% Answer Correctly

radius

chord

circumference

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).