ASVAB Math Knowledge Practice Test 468424 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

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

77% Answer Correctly

a = π r2

a = π d

a = π r

a = π d2


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.


2

If a = 9, b = 2, c = 5, and d = 7, what is the perimeter of this quadrilateral?

88% Answer Correctly
23
17
19
21

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 9 + 2 + 5 + 7
p = 23


3

Solve for x:
x2 - 6x + 26 = 5x - 2

48% Answer Correctly
2 or -9
4 or 7
-9 or -9
8 or 7

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x2 - 6x + 26 = 5x - 2
x2 - 6x + 26 + 2 = 5x
x2 - 6x - 5x + 28 = 0
x2 - 11x + 28 = 0

Next, factor the quadratic equation:

x2 - 11x + 28 = 0
(x - 4)(x - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 4) or (x - 7) must equal zero:

If (x - 4) = 0, x must equal 4
If (x - 7) = 0, x must equal 7

So the solution is that x = 4 or 7


4

Solve 5b + 3b = -2b + 3z - 3 for b in terms of z.

34% Answer Correctly
z - 6
-z + 2
z - \(\frac{3}{7}\)
z + \(\frac{3}{16}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

5b + 3z = -2b + 3z - 3
5b = -2b + 3z - 3 - 3z
5b + 2b = 3z - 3 - 3z
7b = - 3
b = \( \frac{ - 3}{7} \)
b = \( \frac{}{7} \) + \( \frac{-3}{7} \)
b = z - \(\frac{3}{7}\)


5

If angle a = 49° and angle b = 56° what is the length of angle c?

71% Answer Correctly
80°
92°
98°
75°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 49° - 56° = 75°