ASVAB Math Knowledge Practice Test 583439 Results

Your Results Global Average
Questions 5 5
Correct 0 2.76
Score 0% 55%

Review

1

What is 7a6 - 8a6?

73% Answer Correctly
-a12
15a12
-1a6
a612

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a6 - 8a6 = -1a6


2

Factor y2 - 13y + 42

54% Answer Correctly
(y - 7)(y - 6)
(y - 7)(y + 6)
(y + 7)(y - 6)
(y + 7)(y + 6)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 42 as well and sum (Inside, Outside) to equal -13. For this problem, those two numbers are -7 and -6. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 13y + 42
y2 + (-7 - 6)y + (-7 x -6)
(y - 7)(y - 6)


3

Solve for z:
5z - 2 < -8 + 2z

55% Answer Correctly
z < -2
z < 1\(\frac{1}{2}\)
z < -\(\frac{3}{8}\)
z < -\(\frac{2}{5}\)

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.

5z - 2 < -8 + 2z
5z < -8 + 2z + 2
5z - 2z < -8 + 2
3z < -6
z < \( \frac{-6}{3} \)
z < -2


4

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

24% Answer Correctly

c = π d

c = π d2

c = π r2

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.


5

If angle a = 64° and angle b = 70° what is the length of angle c?

71% Answer Correctly
98°
46°
120°
105°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 64° - 70° = 46°