ASVAB Math Knowledge Practice Test 456943 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

Simplify (9a)(4ab) + (8a2)(3b).

65% Answer Correctly
60a2b
-12ab2
143ab2
143a2b

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.

(9a)(4ab) + (8a2)(3b)
(9 x 4)(a x a x b) + (8 x 3)(a2 x b)
(36)(a1+1 x b) + (24)(a2b)
36a2b + 24a2b
60a2b


2

Simplify (5a)(6ab) - (6a2)(2b).

62% Answer Correctly
42ab2
88ab2
18a2b
88a2b

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.

(5a)(6ab) - (6a2)(2b)
(5 x 6)(a x a x b) - (6 x 2)(a2 x b)
(30)(a1+1 x b) - (12)(a2b)
30a2b - 12a2b
18a2b


3

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

the area is length x width

all interior angles are right angles


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


4

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

quadrilateral

triangle

rhombus

trapezoid


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


5

If the base of this triangle is 7 and the height is 6, what is the area?

58% Answer Correctly
52\(\frac{1}{2}\)
35
27\(\frac{1}{2}\)
21

Solution

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

a = ½bh
a = ½ x 7 x 6 = \( \frac{42}{2} \) = 21