ASVAB Math Knowledge Practice Test 197819 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

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

a parallelogram is a quadrilateral

the area of a parallelogram is base x height


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).


2

If the base of this triangle is 7 and the height is 3, what is the area?

58% Answer Correctly
66
10\(\frac{1}{2}\)
105
98

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 3 = \( \frac{21}{2} \) = 10\(\frac{1}{2}\)


3

Solve for a:
a2 + 2a - 35 = 0

58% Answer Correctly
7 or -8
5 or -7
8 or 2
-2 or -6

Solution

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

a2 + 2a - 35 = 0
(a - 5)(a + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 5) or (a + 7) must equal zero:

If (a - 5) = 0, a must equal 5
If (a + 7) = 0, a must equal -7

So the solution is that a = 5 or -7


4

A right angle measures:

90% Answer Correctly

90°

180°

360°

45°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


5

Simplify (2a)(4ab) + (8a2)(2b).

65% Answer Correctly
24a2b
60a2b
-8a2b
8a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(2a)(4ab) + (8a2)(2b)
(2 x 4)(a x a x b) + (8 x 2)(a2 x b)
(8)(a1+1 x b) + (16)(a2b)
8a2b + 16a2b
24a2b