ASVAB Math Knowledge Practice Test 6048 Results

Your Results Global Average
Questions 5 5
Correct 0 3.34
Score 0% 67%

Review

1

If a = 5, b = 5, c = 8, and d = 5, what is the perimeter of this quadrilateral?

88% Answer Correctly
21
22
23
16

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 5 + 5 + 8 + 5
p = 23


2

Simplify (6a)(5ab) + (3a2)(8b).

65% Answer Correctly
121ab2
54a2b
6ab2
54ab2

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.

(6a)(5ab) + (3a2)(8b)
(6 x 5)(a x a x b) + (3 x 8)(a2 x b)
(30)(a1+1 x b) + (24)(a2b)
30a2b + 24a2b
54a2b


3

Find the value of b:
5b + y = 5
-7b - 8y = -3

42% Answer Correctly
-\(\frac{3}{10}\)
1\(\frac{4}{33}\)
-1\(\frac{16}{29}\)
10\(\frac{3}{5}\)

Solution

You need to find the value of b so solve the first equation in terms of y:

5b + y = 5
y = 5 - 5b

then substitute the result (5 - 5b) into the second equation:

-7b - 8(5 - 5b) = -3
-7b + (-8 x 5) + (-8 x -5b) = -3
-7b - 40 + 40b = -3
-7b + 40b = -3 + 40
33b = 37
b = \( \frac{37}{33} \)
b = 1\(\frac{4}{33}\)


4

If side x = 5cm, side y = 13cm, and side z = 5cm what is the perimeter of this triangle?

84% Answer Correctly
23cm
26cm
33cm
29cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 5cm + 13cm + 5cm = 23cm


5

Solve for b:
9b - 1 > 9 - 3b

55% Answer Correctly
b > \(\frac{1}{9}\)
b > \(\frac{5}{6}\)
b > \(\frac{2}{7}\)
b > -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.

9b - 1 > 9 - 3b
9b > 9 - 3b + 1
9b + 3b > 9 + 1
12b > 10
b > \( \frac{10}{12} \)
b > \(\frac{5}{6}\)