ASVAB Math Knowledge Practice Test 128300 Results

Your Results Global Average
Questions 5 5
Correct 0 3.50
Score 0% 70%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

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

all of these statements are correct

you can multiply monomials that have different variables and different exponents


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

4

5

3

2


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

If angle a = 36° and angle b = 61° what is the length of angle d?

56% Answer Correctly
144°
140°
156°
158°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 36° - 61° = 83°

So, d° = 61° + 83° = 144°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 36° = 144°


4

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

acute, right, obtuse

right, obtuse, acute

acute, obtuse, right

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

Solve for x:
-9x - 5 = -3 - 5x

59% Answer Correctly
1\(\frac{1}{4}\)
-\(\frac{1}{2}\)
1\(\frac{1}{3}\)
-\(\frac{1}{4}\)

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 equal sign and the answer on the other.

-9x - 5 = -3 - 5x
-9x = -3 - 5x + 5
-9x + 5x = -3 + 5
-4x = 2
x = \( \frac{2}{-4} \)
x = -\(\frac{1}{2}\)