ASVAB Math Knowledge Practice Test 822182 Results

Your Results Global Average
Questions 5 5
Correct 0 3.06
Score 0% 61%

Review

1

If a = 9, b = 2, c = 8, and d = 4, what is the perimeter of this quadrilateral?

88% Answer Correctly
23
18
19
22

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 9 + 2 + 8 + 4
p = 23


2

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

63% Answer Correctly

the area is length x width

the lengths of all sides are equal

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

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).


3

Find the value of c:
4c + z = 2
-7c - 5z = 3

42% Answer Correctly
\(\frac{11}{14}\)
\(\frac{5}{32}\)
-\(\frac{1}{8}\)
1

Solution

You need to find the value of c so solve the first equation in terms of z:

4c + z = 2
z = 2 - 4c

then substitute the result (2 - 4c) into the second equation:

-7c - 5(2 - 4c) = 3
-7c + (-5 x 2) + (-5 x -4c) = 3
-7c - 10 + 20c = 3
-7c + 20c = 3 + 10
13c = 13
c = \( \frac{13}{13} \)
c = 1


4

The dimensions of this cube are height (h) = 4, length (l) = 1, and width (w) = 6. What is the surface area?

51% Answer Correctly
246
68
280
270

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 1 x 6) + (2 x 6 x 4) + (2 x 1 x 4)
sa = (12) + (48) + (8)
sa = 68


5

Simplify (4a)(9ab) - (9a2)(4b).

62% Answer Correctly
2b
0a2b
72a2b
169a2b

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.

(4a)(9ab) - (9a2)(4b)
(4 x 9)(a x a x b) - (9 x 4)(a2 x b)
(36)(a1+1 x b) - (36)(a2b)
36a2b - 36a2b
0a2b