ASVAB Math Knowledge Practice Test 470040 Results

Your Results Global Average
Questions 5 5
Correct 0 2.69
Score 0% 54%

Review

1

Solve for x:
-6x - 3 > -5 - 9x

55% Answer Correctly
x > \(\frac{3}{8}\)
x > -\(\frac{2}{3}\)
x > -\(\frac{3}{4}\)
x > -1\(\frac{3}{4}\)

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 > sign and the answer on the other.

-6x - 3 > -5 - 9x
-6x > -5 - 9x + 3
-6x + 9x > -5 + 3
3x > -2
x > \( \frac{-2}{3} \)
x > -\(\frac{2}{3}\)


2

The dimensions of this cylinder are height (h) = 3 and radius (r) = 4. What is the surface area?

48% Answer Correctly
224π
56π
32π
96π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 3)
sa = 2π(16) + 2π(12)
sa = (2 x 16)π + (2 x 12)π
sa = 32π + 24π
sa = 56π


3

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

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).


4

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r2

c = π d

c = π r

c = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

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

92% Answer Correctly

exponents

addition

pairs

division


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.)