ASVAB Math Knowledge Practice Test 494824 Results

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

Review

1

Solve for x:
7x + 1 > \( \frac{x}{-1} \)

45% Answer Correctly
x > -\(\frac{16}{23}\)
x > -1\(\frac{1}{13}\)
x > -\(\frac{1}{8}\)
x > 1\(\frac{1}{7}\)

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.

7x + 1 > \( \frac{x}{-1} \)
-1 x (7x + 1) > x
(-1 x 7x) + (-1 x 1) > x
-7x - 1 > x
-7x - 1 - x > 0
-7x - x > 1
-8x > 1
x > \( \frac{1}{-8} \)
x > -\(\frac{1}{8}\)


2

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

76% Answer Correctly

acute, right, obtuse

right, obtuse, acute

right, acute, obtuse

acute, obtuse, right


Solution

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


3

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

64% Answer Correctly

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

all interior angles are right angles

the area is length x width

the lengths of all sides are equal


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

Simplify (3a)(4ab) - (5a2)(9b).

63% Answer Correctly
57ab2
98a2b
-33a2b
98ab2

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.

(3a)(4ab) - (5a2)(9b)
(3 x 4)(a x a x b) - (5 x 9)(a2 x b)
(12)(a1+1 x b) - (45)(a2b)
12a2b - 45a2b
-33a2b


5

What is the area of a circle with a diameter of 10?

70% Answer Correctly
81π
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π