ASVAB Math Knowledge Practice Test 446433 Results

Your Results Global Average
Questions 5 5
Correct 0 2.86
Score 0% 57%

Review

1

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

radius

circumference

chord

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

If the base of this triangle is 7 and the height is 5, what is the area?

58% Answer Correctly
70
48
17\(\frac{1}{2}\)
30

Solution

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

a = ½bh
a = ½ x 7 x 5 = \( \frac{35}{2} \) = 17\(\frac{1}{2}\)


3

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

49% Answer Correctly

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

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

Simplify (7a)(3ab) + (3a2)(6b).

65% Answer Correctly
-3ab2
-3a2b
39a2b
90ab2

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.

(7a)(3ab) + (3a2)(6b)
(7 x 3)(a x a x b) + (3 x 6)(a2 x b)
(21)(a1+1 x b) + (18)(a2b)
21a2b + 18a2b
39a2b


5

If a = 1 and x = -7, what is the value of -8a(a - x)?

68% Answer Correctly
-128
12
-40
-64

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-8a(a - x)
-8(1)(1 + 7)
-8(1)(8)
(-8)(8)
-64