ASVAB Math Knowledge Practice Test 596099 Results

Your Results Global Average
Questions 5 5
Correct 0 2.85
Score 0% 57%

Review

1

What is the circumference of a circle with a radius of 11?

70% Answer Correctly
22π
10π
8π
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 * 11)
c = 22π


2

Solve for y:
y2 - 5y + 8 = 2y - 2

48% Answer Correctly
-1 or -6
4 or 3
4 or -2
2 or 5

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y2 - 5y + 8 = 2y - 2
y2 - 5y + 8 + 2 = 2y
y2 - 5y - 2y + 10 = 0
y2 - 7y + 10 = 0

Next, factor the quadratic equation:

y2 - 7y + 10 = 0
(y - 2)(y - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y - 5) must equal zero:

If (y - 2) = 0, y must equal 2
If (y - 5) = 0, y must equal 5

So the solution is that y = 2 or 5


3

Find the value of a:
-a + x = -6
6a + 3x = 2

42% Answer Correctly
-2\(\frac{1}{12}\)
2\(\frac{2}{9}\)
-\(\frac{4}{7}\)
\(\frac{5}{16}\)

Solution

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

-a + x = -6
x = -6 + a

then substitute the result (-6 - -1a) into the second equation:

6a + 3(-6 + a) = 2
6a + (3 x -6) + (3 x a) = 2
6a - 18 + 3a = 2
6a + 3a = 2 + 18
9a = 20
a = \( \frac{20}{9} \)
a = 2\(\frac{2}{9}\)


4

What is 7a2 + 6a2?

74% Answer Correctly
42a4
42a2
1
13a2

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.

7a2 + 6a2 = 13a2


5

The dimensions of this cylinder are height (h) = 2 and radius (r) = 6. What is the surface area?

48% Answer Correctly
96π
104π
90π
14π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 2)
sa = 2π(36) + 2π(12)
sa = (2 x 36)π + (2 x 12)π
sa = 72π + 24π
sa = 96π