ASVAB Math Knowledge Practice Test 322399 Results

Your Results Global Average
Questions 5 5
Correct 0 2.30
Score 0% 46%

Review

1

If angle a = 34° and angle b = 51° what is the length of angle c?

71% Answer Correctly
121°
108°
95°
90°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 34° - 51° = 95°


2

Find the value of b:
-8b + z = -4
8b - 7z = 9

42% Answer Correctly
1\(\frac{1}{25}\)
-1\(\frac{7}{13}\)
\(\frac{19}{48}\)
1

Solution

You need to find the value of b so solve the first equation in terms of z:

-8b + z = -4
z = -4 + 8b

then substitute the result (-4 - -8b) into the second equation:

8b - 7(-4 + 8b) = 9
8b + (-7 x -4) + (-7 x 8b) = 9
8b + 28 - 56b = 9
8b - 56b = 9 - 28
-48b = -19
b = \( \frac{-19}{-48} \)
b = \(\frac{19}{48}\)


3

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d2

c = π r2

c = π d

c = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


4

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

50% Answer Correctly

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

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


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).


5

Solve for c:
-7c - 2 < \( \frac{c}{5} \)

44% Answer Correctly
c < \(\frac{7}{43}\)
c < -\(\frac{5}{18}\)
c < -1\(\frac{8}{55}\)
c < 2\(\frac{5}{8}\)

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.

-7c - 2 < \( \frac{c}{5} \)
5 x (-7c - 2) < c
(5 x -7c) + (5 x -2) < c
-35c - 10 < c
-35c - 10 - c < 0
-35c - c < 10
-36c < 10
c < \( \frac{10}{-36} \)
c < -\(\frac{5}{18}\)