ASVAB Math Knowledge Practice Test 536145 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

Simplify (y + 2)(y + 8)

64% Answer Correctly
y2 + 10y + 16
y2 - 10y + 16
y2 + 6y - 16
y2 - 6y - 16

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y + 8)
(y x y) + (y x 8) + (2 x y) + (2 x 8)
y2 + 8y + 2y + 16
y2 + 10y + 16


2

Find the value of b:
8b + z = -2
-3b + 6z = 9

42% Answer Correctly
-\(\frac{7}{17}\)
1
-2
-\(\frac{5}{27}\)

Solution

You need to find the value of b so solve the first equation in terms of z:

8b + z = -2
z = -2 - 8b

then substitute the result (-2 - 8b) into the second equation:

-3b + 6(-2 - 8b) = 9
-3b + (6 x -2) + (6 x -8b) = 9
-3b - 12 - 48b = 9
-3b - 48b = 9 + 12
-51b = 21
b = \( \frac{21}{-51} \)
b = -\(\frac{7}{17}\)


3

The dimensions of this cube are height (h) = 8, length (l) = 7, and width (w) = 2. What is the surface area?

51% Answer Correctly
122
142
92
172

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 7 x 2) + (2 x 2 x 8) + (2 x 7 x 8)
sa = (28) + (32) + (112)
sa = 172


4

The dimensions of this cube are height (h) = 2, length (l) = 4, and width (w) = 9. What is the volume?

83% Answer Correctly
72
144
36
24

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 2 x 4 x 9
v = 72


5

What is 8a + 4a?

81% Answer Correctly
32a2
12a
32a
a2

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.

8a + 4a = 12a