ASVAB Math Knowledge Practice Test 819134 Results

Your Results Global Average
Questions 5 5
Correct 0 3.01
Score 0% 60%

Review

1

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

63% Answer Correctly

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

the lengths of all sides are equal

all interior angles are right angles

the area is length x width


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).


2

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

62% Answer Correctly
8ab2
16a2b
8a2b
0a2b

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) - (2a2)(2b)
(2 x 2)(a x a x b) - (2 x 2)(a2 x b)
(4)(a1+1 x b) - (4)(a2b)
4a2b - 4a2b
0a2b


3

If angle a = 49° and angle b = 37° what is the length of angle c?

71% Answer Correctly
104°
94°
89°
99°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 49° - 37° = 94°


4

Solve for x:
-x + 2 > -7 - 8x

55% Answer Correctly
x > -\(\frac{4}{7}\)
x > \(\frac{2}{3}\)
x > -1\(\frac{2}{7}\)
x > -1\(\frac{1}{2}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-x + 2 > -7 - 8x
-x > -7 - 8x - 2
-x + 8x > -7 - 2
7x > -9
x > \( \frac{-9}{7} \)
x > -1\(\frac{2}{7}\)


5

The dimensions of this cube are height (h) = 7, length (l) = 6, and width (w) = 7. What is the surface area?

51% Answer Correctly
266
212
168
102

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 6 x 7) + (2 x 7 x 7) + (2 x 6 x 7)
sa = (84) + (98) + (84)
sa = 266