ASVAB Math Knowledge Practice Test 298196 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

What is 9a - 7a?

79% Answer Correctly
63a
2a
2
16a2

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 - 7a = 2a


2

The dimensions of this cube are height (h) = 4, length (l) = 1, and width (w) = 3. What is the surface area?

51% Answer Correctly
38
14
70
192

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 3) + (2 x 3 x 4) + (2 x 1 x 4)
sa = (6) + (24) + (8)
sa = 38


3

If angle a = 21° and angle b = 61° what is the length of angle d?

56% Answer Correctly
128°
136°
158°
159°

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° - 21° - 61° = 98°

So, d° = 61° + 98° = 159°

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° - 21° = 159°


4

Simplify (6a)(5ab) - (6a2)(3b).

62% Answer Correctly
99ab2
12a2b
99a2b
48ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(6a)(5ab) - (6a2)(3b)
(6 x 5)(a x a x b) - (6 x 3)(a2 x b)
(30)(a1+1 x b) - (18)(a2b)
30a2b - 18a2b
12a2b


5

Solve for b:
4b - 4 = -3 + 3b

59% Answer Correctly
1
1\(\frac{2}{7}\)
-1\(\frac{2}{5}\)
\(\frac{7}{9}\)

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.

4b - 4 = -3 + 3b
4b = -3 + 3b + 4
4b - 3b = -3 + 4
b = 1