ASVAB Math Knowledge Practice Test 503833 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

Solve for y:
2y + 1 < \( \frac{y}{2} \)

44% Answer Correctly
y < \(\frac{24}{49}\)
y < -\(\frac{2}{3}\)
y < -2\(\frac{9}{20}\)
y < \(\frac{20}{37}\)

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.

2y + 1 < \( \frac{y}{2} \)
2 x (2y + 1) < y
(2 x 2y) + (2 x 1) < y
4y + 2 < y
4y + 2 - y < 0
4y - y < -2
3y < -2
y < \( \frac{-2}{3} \)
y < -\(\frac{2}{3}\)


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

h x l x w

lw x wh + lh

h2 x l2 x w2

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

What is 3a - 6a?

80% Answer Correctly
-3a2
9
-3a
18a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a - 6a = -3a


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

supplementary, vertical

obtuse, acute

vertical, supplementary

acute, obtuse


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

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

46% Answer Correctly

diameter

radius

chord

circumference


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).