ASVAB Math Knowledge Practice Test 823999 Results

Your Results Global Average
Questions 5 5
Correct 0 3.08
Score 0% 62%

Review

1

The dimensions of this cylinder are height (h) = 7 and radius (r) = 8. What is the surface area?

48% Answer Correctly
160π
48π
240π
56π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 7)
sa = 2π(64) + 2π(56)
sa = (2 x 64)π + (2 x 56)π
sa = 128π + 112π
sa = 240π


2

What is 8a - 2a?

80% Answer Correctly
6a
6
10a2
16a

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 - 2a = 6a


3

A coordinate grid is composed of which of the following?

91% Answer Correctly

all of these

y-axis

x-axis

origin


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


4

Find the value of b:
-6b + y = 8
3b + 3y = 4

42% Answer Correctly
-\(\frac{20}{21}\)
-\(\frac{5}{38}\)
\(\frac{41}{45}\)
\(\frac{9}{19}\)

Solution

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

-6b + y = 8
y = 8 + 6b

then substitute the result (8 - -6b) into the second equation:

3b + 3(8 + 6b) = 4
3b + (3 x 8) + (3 x 6b) = 4
3b + 24 + 18b = 4
3b + 18b = 4 - 24
21b = -20
b = \( \frac{-20}{21} \)
b = -\(\frac{20}{21}\)


5

Solve for a:
-6a - 1 > \( \frac{a}{-9} \)

44% Answer Correctly
a > -\(\frac{9}{53}\)
a > 6
a > \(\frac{10}{11}\)
a > -\(\frac{18}{19}\)

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.

-6a - 1 > \( \frac{a}{-9} \)
-9 x (-6a - 1) > a
(-9 x -6a) + (-9 x -1) > a
54a + 9 > a
54a + 9 - a > 0
54a - a > -9
53a > -9
a > \( \frac{-9}{53} \)
a > -\(\frac{9}{53}\)