ASVAB Math Knowledge Practice Test 52741 Results

Your Results Global Average
Questions 5 5
Correct 0 2.70
Score 0% 54%

Review

1

Find the value of c:
-3c + y = -9
c - 3y = 1

42% Answer Correctly
-\(\frac{8}{41}\)
1\(\frac{3}{13}\)
-2\(\frac{13}{23}\)
3\(\frac{1}{4}\)

Solution

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

-3c + y = -9
y = -9 + 3c

then substitute the result (-9 - -3c) into the second equation:

c - 3(-9 + 3c) = 1
c + (-3 x -9) + (-3 x 3c) = 1
c + 27 - 9c = 1
c - 9c = 1 - 27
-8c = -26
c = \( \frac{-26}{-8} \)
c = 3\(\frac{1}{4}\)


2

Simplify (6a)(6ab) + (7a2)(4b).

65% Answer Correctly
64a2b
132ab2
-8a2b
64ab2

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)(6ab) + (7a2)(4b)
(6 x 6)(a x a x b) + (7 x 4)(a2 x b)
(36)(a1+1 x b) + (28)(a2b)
36a2b + 28a2b
64a2b


3

The dimensions of this cylinder are height (h) = 1 and radius (r) = 2. What is the volume?

62% Answer Correctly
24π
80π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(22 x 1)
v = 4π


4

Solve for a:
3a - 3 < 3 - 3a

55% Answer Correctly
a < 1
a < -3
a < -1
a < \(\frac{5}{8}\)

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.

3a - 3 < 3 - 3a
3a < 3 - 3a + 3
3a + 3a < 3 + 3
6a < 6
a < \( \frac{6}{6} \)
a < 1


5

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

bisects

trisects

midpoints

intersects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.