ASVAB Math Knowledge Practice Test 62749 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

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

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

all of these statements are correct


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.


2

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

3

4

2

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


3

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

60% Answer Correctly

vertical, supplementary

acute, obtuse

supplementary, vertical

obtuse, acute


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).


4

The dimensions of this cube are height (h) = 6, length (l) = 6, and width (w) = 2. What is the surface area?

51% Answer Correctly
94
110
120
136

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 2) + (2 x 2 x 6) + (2 x 6 x 6)
sa = (24) + (24) + (72)
sa = 120


5

Solve for z:
-8z - 3 > \( \frac{z}{-5} \)

44% Answer Correctly
z > -4
z > -\(\frac{5}{13}\)
z > \(\frac{8}{39}\)
z > -7\(\frac{5}{7}\)

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 > sign and the answer on the other.

-8z - 3 > \( \frac{z}{-5} \)
-5 x (-8z - 3) > z
(-5 x -8z) + (-5 x -3) > z
40z + 15 > z
40z + 15 - z > 0
40z - z > -15
39z > -15
z > \( \frac{-15}{39} \)
z > -\(\frac{5}{13}\)