ASVAB Math Knowledge Practice Test 692189 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

equation

expression

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


2

Find the value of a:
4a + y = -5
-8a + 8y = 3

42% Answer Correctly
\(\frac{3}{32}\)
-\(\frac{8}{25}\)
-1\(\frac{3}{40}\)
-\(\frac{5}{7}\)

Solution

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

4a + y = -5
y = -5 - 4a

then substitute the result (-5 - 4a) into the second equation:

-8a + 8(-5 - 4a) = 3
-8a + (8 x -5) + (8 x -4a) = 3
-8a - 40 - 32a = 3
-8a - 32a = 3 + 40
-40a = 43
a = \( \frac{43}{-40} \)
a = -1\(\frac{3}{40}\)


3

What is the circumference of a circle with a radius of 12?

71% Answer Correctly
18π
17π
24π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 12)
c = 24π


4

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

2

5

3

4


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


5

The dimensions of this cylinder are height (h) = 6 and radius (r) = 5. What is the volume?

62% Answer Correctly
150π
192π
324π
441π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(52 x 6)
v = 150π