ASVAB Math Knowledge Practice Test 246978 Results

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

Review

1

What is 6a5 - 7a5?

74% Answer Correctly
13a10
-1a5
13
-1

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.

6a5 - 7a5 = -1a5


2

The dimensions of this cube are height (h) = 3, length (l) = 2, and width (w) = 7. What is the surface area?

51% Answer Correctly
82
88
144
110

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 7) + (2 x 7 x 3) + (2 x 2 x 3)
sa = (28) + (42) + (12)
sa = 82


3

If c = 7 and z = 3, what is the value of -2c(c - z)?

69% Answer Correctly
-56
-32
-4
-189

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.)

-2c(c - z)
-2(7)(7 - 3)
-2(7)(4)
(-14)(4)
-56


4

Simplify (8a)(4ab) + (5a2)(5b).

66% Answer Correctly
7ab2
120ab2
7a2b
57a2b

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.

(8a)(4ab) + (5a2)(5b)
(8 x 4)(a x a x b) + (5 x 5)(a2 x b)
(32)(a1+1 x b) + (25)(a2b)
32a2b + 25a2b
57a2b


5

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

vertical, supplementary

supplementary, vertical

acute, obtuse

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).