ASVAB Math Knowledge Practice Test 495906 Results

Your Results Global Average
Questions 5 5
Correct 0 2.24
Score 0% 45%

Review

1

Find the value of b:
-8b + x = -3
-5b - 5x = -9

41% Answer Correctly
\(\frac{3}{37}\)
\(\frac{8}{15}\)
1\(\frac{5}{7}\)
\(\frac{3}{26}\)

Solution

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

-8b + x = -3
x = -3 + 8b

then substitute the result (-3 - -8b) into the second equation:

-5b - 5(-3 + 8b) = -9
-5b + (-5 x -3) + (-5 x 8b) = -9
-5b + 15 - 40b = -9
-5b - 40b = -9 - 15
-45b = -24
b = \( \frac{-24}{-45} \)
b = \(\frac{8}{15}\)


2

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.


3

Solve for z:
z2 + 15z + 54 = 0

57% Answer Correctly
-1 or -3
-2 or -3
8 or 1
-6 or -9

Solution

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

z2 + 15z + 54 = 0
(z + 6)(z + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 6) or (z + 9) must equal zero:

If (z + 6) = 0, z must equal -6
If (z + 9) = 0, z must equal -9

So the solution is that z = -6 or -9


4

A cylinder with a radius (r) and a height (h) has a surface area of:

52% Answer Correctly

2(π r2) + 2π rh

π r2h2

4π r2

π r2h


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


5

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

49% Answer Correctly

a parallelogram is a quadrilateral

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

the area of a parallelogram is base x height

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).