ASVAB Math Knowledge Practice Test 364329 Results

Your Results Global Average
Questions 5 5
Correct 0 2.68
Score 0% 54%

Review

1

Solve for b:
-7b - 6 = -2 - 2b

59% Answer Correctly
3
-\(\frac{4}{5}\)
-\(\frac{1}{3}\)
\(\frac{1}{2}\)

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.

-7b - 6 = -2 - 2b
-7b = -2 - 2b + 6
-7b + 2b = -2 + 6
-5b = 4
b = \( \frac{4}{-5} \)
b = -\(\frac{4}{5}\)


2

The dimensions of this trapezoid are a = 4, b = 2, c = 7, d = 3, and h = 3. What is the area?

51% Answer Correctly
13\(\frac{1}{2}\)
34
7\(\frac{1}{2}\)
16\(\frac{1}{2}\)

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(2 + 3)(3)
a = ½(5)(3)
a = ½(15) = \( \frac{15}{2} \)
a = 7\(\frac{1}{2}\)


3

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

49% Answer Correctly

opposite sides and adjacent angles are equal

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

the area of a parallelogram is base x height

a parallelogram is a quadrilateral


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).


4

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

53% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h

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.


5

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

57% Answer Correctly

area = ½bh

sum of interior angles = 180°

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.