ASVAB Math Knowledge Practice Test 464277 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

A right angle measures:

90% Answer Correctly

45°

90°

180°

360°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


2

Solve for y:
-7y - 8 < \( \frac{y}{-8} \)

44% Answer Correctly
y < -1\(\frac{9}{55}\)
y < \(\frac{12}{35}\)
y < 3\(\frac{1}{3}\)
y < 7\(\frac{7}{8}\)

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.

-7y - 8 < \( \frac{y}{-8} \)
-8 x (-7y - 8) < y
(-8 x -7y) + (-8 x -8) < y
56y + 64 < y
56y + 64 - y < 0
56y - y < -64
55y < -64
y < \( \frac{-64}{55} \)
y < -1\(\frac{9}{55}\)


3

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

63% Answer Correctly

the area is length x width

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


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

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal length

equal angle

parallel

right angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


5

Simplify (5a)(4ab) + (7a2)(4b).

65% Answer Correctly
48a2b
-8a2b
-8ab2
8ab2

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.

(5a)(4ab) + (7a2)(4b)
(5 x 4)(a x a x b) + (7 x 4)(a2 x b)
(20)(a1+1 x b) + (28)(a2b)
20a2b + 28a2b
48a2b