ASVAB Math Knowledge Practice Test 621505 Results

Your Results Global Average
Questions 5 5
Correct 0 2.82
Score 0% 56%

Review

1

Solve for a:
-3a - 5 = -7 - 6a

59% Answer Correctly
-1\(\frac{1}{6}\)
-\(\frac{2}{3}\)
3\(\frac{1}{2}\)
\(\frac{1}{3}\)

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.

-3a - 5 = -7 - 6a
-3a = -7 - 6a + 5
-3a + 6a = -7 + 5
3a = -2
a = \( \frac{-2}{3} \)
a = -\(\frac{2}{3}\)


2

If angle a = 27° and angle b = 52° what is the length of angle d?

56% Answer Correctly
153°
156°
155°
124°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 27° - 52° = 101°

So, d° = 52° + 101° = 153°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 27° = 153°


3

The endpoints of this line segment are at (-2, -7) and (2, 1). What is the slope of this line?

46% Answer Correctly
2
1
-2\(\frac{1}{2}\)
-\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2


4

What is 7a5 + 7a5?

75% Answer Correctly
0
14a5
a510
49a5

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.

7a5 + 7a5 = 14a5


5

Solve for c:
c + 5 = \( \frac{c}{-4} \)

46% Answer Correctly
-2\(\frac{2}{5}\)
-9\(\frac{1}{7}\)
-4
-\(\frac{8}{17}\)

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.

c + 5 = \( \frac{c}{-4} \)
-4 x (c + 5) = c
(-4 x c) + (-4 x 5) = c
-4c - 20 = c
-4c - 20 - c = 0
-4c - c = 20
-5c = 20
c = \( \frac{20}{-5} \)
c = -4