ASVAB Math Knowledge Practice Test 720520 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

What is 9a - 8a?

79% Answer Correctly
17a2
1a
17
72a

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.

9a - 8a = 1a


2

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

triangle

rhombus

quadrilateral

trapezoid


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


3

Solve for a:
-4a + 5 = \( \frac{a}{8} \)

46% Answer Correctly
1\(\frac{7}{33}\)
1\(\frac{20}{29}\)
2\(\frac{4}{5}\)
\(\frac{36}{37}\)

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.

-4a + 5 = \( \frac{a}{8} \)
8 x (-4a + 5) = a
(8 x -4a) + (8 x 5) = a
-32a + 40 = a
-32a + 40 - a = 0
-32a - a = -40
-33a = -40
a = \( \frac{-40}{-33} \)
a = 1\(\frac{7}{33}\)


4

If angle a = 51° and angle b = 53° what is the length of angle d?

56% Answer Correctly
158°
121°
137°
129°

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° - 51° - 53° = 76°

So, d° = 53° + 76° = 129°

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° - 51° = 129°


5

If angle a = 63° and angle b = 65° what is the length of angle c?

71% Answer Correctly
52°
102°
83°
114°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 63° - 65° = 52°