ASVAB Math Knowledge Practice Test 117684 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

What is 2a - 6a?

79% Answer Correctly
8
8a2
12a
-4a

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.

2a - 6a = -4a


2

Solve for z:
z2 - 5z + 4 = 0

58% Answer Correctly
1 or 4
9 or 6
-7 or -9
7 or 2

Solution

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

z2 - 5z + 4 = 0
(z - 1)(z - 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z - 4) must equal zero:

If (z - 1) = 0, z must equal 1
If (z - 4) = 0, z must equal 4

So the solution is that z = 1 or 4


3

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

53% Answer Correctly

π r2h

2(π r2) + 2π rh

4π r2

π r2h2


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.


4

The dimensions of this cylinder are height (h) = 2 and radius (r) = 7. What is the surface area?

48% Answer Correctly
24π
192π
126π
28π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 2)
sa = 2π(49) + 2π(14)
sa = (2 x 49)π + (2 x 14)π
sa = 98π + 28π
sa = 126π


5

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

49% 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).