ASVAB Math Knowledge Practice Test 972929 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

If angle a = 27° and angle b = 22° what is the length of angle c?

71% Answer Correctly
131°
92°
115°
83°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 27° - 22° = 131°


2

Solve for c:
-3c - 6 < -7 + 3c

55% Answer Correctly
c < -\(\frac{3}{7}\)
c < -1
c < \(\frac{1}{6}\)
c < 3\(\frac{1}{2}\)

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 < sign and the answer on the other.

-3c - 6 < -7 + 3c
-3c < -7 + 3c + 6
-3c - 3c < -7 + 6
-6c < -1
c < \( \frac{-1}{-6} \)
c < \(\frac{1}{6}\)


3

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the perimeter is the sum of the lengths of all four sides

the lengths of all sides are equal

all interior angles are right angles

the area is length x width


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


4

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

76% Answer Correctly

acute, right, obtuse

acute, obtuse, right

right, obtuse, acute

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

Simplify (4a)(4ab) + (6a2)(5b).

66% Answer Correctly
14ab2
14a2b
46a2b
46ab2

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.

(4a)(4ab) + (6a2)(5b)
(4 x 4)(a x a x b) + (6 x 5)(a2 x b)
(16)(a1+1 x b) + (30)(a2b)
16a2b + 30a2b
46a2b