ASVAB Math Knowledge Practice Test 987623 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.94
Score	0%	59%

Review

Find the value of c:
-3c + z = 5
c - 6z = -2

42% Answer Correctly

	-1\(\frac{11}{17}\)
	\(\frac{3}{5}\)
	-5\(\frac{3}{4}\)
	\(\frac{13}{24}\)

Solution

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

-3c + z = 5
z = 5 + 3c

then substitute the result (5 - -3c) into the second equation:

c - 6(5 + 3c) = -2
c + (-6 x 5) + (-6 x 3c) = -2
c - 30 - 18c = -2
c - 18c = -2 + 30
-17c = 28
c = \( \frac{28}{-17} \)
c = -1\(\frac{11}{17}\)

The dimensions of this cylinder are height (h) = 7 and radius (r) = 2. What is the volume?

63% Answer Correctly

	486π
	320π
	28π
	245π

Solution

The volume of a cylinder is πr²h:

v = πr²h
v = π(2² x 7)
v = 28π

If a = c = 3, b = d = 4, and the blue angle = 56°, what is the area of this parallelogram?

66% Answer Correctly

	12
	63
	16
	45

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 3 x 4
a = 12

If a = -8 and z = 5, what is the value of a(a - z)?

69% Answer Correctly

	-60
	-360
	72
	104

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

a(a - z)
1(-8)(-8 - 5)
1(-8)(-13)
(-8)(-13)
104

Factor y² + 6y + 9

54% Answer Correctly

	(y - 3)(y - 3)
	(y + 3)(y + 3)
	(y + 3)(y - 3)
	(y - 3)(y + 3)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 9 as well and sum (Inside, Outside) to equal 6. For this problem, those two numbers are 3 and 3. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 6y + 9
y² + (3 + 3)y + (3 x 3)
(y + 3)(y + 3)