ASVAB Math Knowledge Practice Test 758986 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

Solve for z:
-3z + 5 = \( \frac{z}{-9} \)

46% Answer Correctly
1\(\frac{19}{26}\)
-4\(\frac{5}{19}\)
1\(\frac{11}{16}\)
1\(\frac{1}{5}\)

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 equal sign and the answer on the other.

-3z + 5 = \( \frac{z}{-9} \)
-9 x (-3z + 5) = z
(-9 x -3z) + (-9 x 5) = z
27z - 45 = z
27z - 45 - z = 0
27z - z = 45
26z = 45
z = \( \frac{45}{26} \)
z = 1\(\frac{19}{26}\)


2

A right angle measures:

90% Answer Correctly

180°

45°

360°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

Find the value of a:
-7a + y = -9
7a + 2y = 4

42% Answer Correctly
5\(\frac{1}{3}\)
\(\frac{1}{13}\)
1\(\frac{1}{21}\)
1\(\frac{1}{2}\)

Solution

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

-7a + y = -9
y = -9 + 7a

then substitute the result (-9 - -7a) into the second equation:

7a + 2(-9 + 7a) = 4
7a + (2 x -9) + (2 x 7a) = 4
7a - 18 + 14a = 4
7a + 14a = 4 + 18
21a = 22
a = \( \frac{22}{21} \)
a = 1\(\frac{1}{21}\)


4

The dimensions of this cylinder are height (h) = 3 and radius (r) = 2. What is the volume?

62% Answer Correctly
45π
12π
81π
192π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(22 x 3)
v = 12π


5

What is the circumference of a circle with a radius of 17?

71% Answer Correctly
14π
34π
18π

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 * 17)
c = 34π