ASVAB Math Knowledge Practice Test 454022 Results

Your Results Global Average
Questions 5 5
Correct 0 2.76
Score 0% 55%

Review

1

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π d2

c = π d

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

Solve for z:
z2 + 9z + 14 = 0

58% Answer Correctly
3 or -9
5 or 1
-4 or -7
-2 or -7

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 + 9z + 14 = 0
(z + 2)(z + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z + 7) must equal zero:

If (z + 2) = 0, z must equal -2
If (z + 7) = 0, z must equal -7

So the solution is that z = -2 or -7


3

Simplify (y - 7)(y - 8)

64% Answer Correctly
y2 + 15y + 56
y2 - y - 56
y2 + y - 56
y2 - 15y + 56

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 7)(y - 8)
(y x y) + (y x -8) + (-7 x y) + (-7 x -8)
y2 - 8y - 7y + 56
y2 - 15y + 56


4

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

the perimeter of a parallelogram is the sum of the lengths of all sides

opposite sides and adjacent angles are equal


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


5

What is 7a - 4a?

80% Answer Correctly
a2
28a
3a
3

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.

7a - 4a = 3a