ASVAB Math Knowledge Practice Test 549847 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

Solve for b:
2b + 5 = \( \frac{b}{-3} \)

46% Answer Correctly
\(\frac{7}{9}\)
-2\(\frac{1}{7}\)
1\(\frac{25}{47}\)
-1\(\frac{9}{47}\)

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.

2b + 5 = \( \frac{b}{-3} \)
-3 x (2b + 5) = b
(-3 x 2b) + (-3 x 5) = b
-6b - 15 = b
-6b - 15 - b = 0
-6b - b = 15
-7b = 15
b = \( \frac{15}{-7} \)
b = -2\(\frac{1}{7}\)


2

If side a = 1, side b = 5, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{117} \)
\( \sqrt{98} \)
10
\( \sqrt{26} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 12 + 52
c2 = 1 + 25
c2 = 26
c = \( \sqrt{26} \)


3

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal

the perimeter of a parallelogram is the sum of the lengths of all sides

a parallelogram is a quadrilateral


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


4

Solve for a:
5a + 8 = 4 - 6a

60% Answer Correctly
-2
\(\frac{7}{9}\)
-\(\frac{4}{11}\)
-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 equal sign and the answer on the other.

5a + 8 = 4 - 6a
5a = 4 - 6a - 8
5a + 6a = 4 - 8
11a = -4
a = \( \frac{-4}{11} \)
a = -\(\frac{4}{11}\)


5

A coordinate grid is composed of which of the following?

92% Answer Correctly

origin

x-axis

all of these

y-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.