ASVAB Math Knowledge Practice Test 667002 Results

Your Results Global Average
Questions 5 5
Correct 0 3.36
Score 0% 67%

Review

1

Simplify (2a)(2ab) + (3a2)(8b).

65% Answer Correctly
28ab2
44a2b
-20a2b
28a2b

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)(2ab) + (3a2)(8b)
(2 x 2)(a x a x b) + (3 x 8)(a2 x b)
(4)(a1+1 x b) + (24)(a2b)
4a2b + 24a2b
28a2b


2

What is 7a + 8a?

81% Answer Correctly
-a2
56a
56a2
15a

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.

7a + 8a = 15a


3

If the base of this triangle is 8 and the height is 1, what is the area?

58% Answer Correctly
4
56
82\(\frac{1}{2}\)
27\(\frac{1}{2}\)

Solution

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

a = ½bh
a = ½ x 8 x 1 = \( \frac{8}{2} \) = 4


4

The dimensions of this cube are height (h) = 9, length (l) = 7, and width (w) = 7. What is the volume?

82% Answer Correctly
112
441
216
40

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 9 x 7 x 7
v = 441


5

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

49% Answer Correctly

a parallelogram is a quadrilateral

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


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).