ASVAB Math Knowledge Practice Test 220729 Results

Your Results Global Average
Questions 5 5
Correct 0 3.45
Score 0% 69%

Review

1

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

2

5

3

4


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


2

If a = c = 4, b = d = 6, what is the area of this rectangle?

79% Answer Correctly
24
18
14
4

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 4 x 6
a = 24


3

Solve for b:
b2 - 7b + 35 = 5b - 1

48% Answer Correctly
6
9 or -6
9 or -7
7 or 3

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b2 - 7b + 35 = 5b - 1
b2 - 7b + 35 + 1 = 5b
b2 - 7b - 5b + 36 = 0
b2 - 12b + 36 = 0

Next, factor the quadratic equation:

b2 - 12b + 36 = 0
(b - 6)(b - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, (b - 6) must equal zero:

If (b - 6) = 0, b must equal 6

So the solution is that b = 6


4

Simplify (2a)(4ab) + (7a2)(8b).

65% Answer Correctly
90a2b
64a2b
90ab2
64ab2

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)(4ab) + (7a2)(8b)
(2 x 4)(a x a x b) + (7 x 8)(a2 x b)
(8)(a1+1 x b) + (56)(a2b)
8a2b + 56a2b
64a2b


5

The dimensions of this cylinder are height (h) = 3 and radius (r) = 2. What is the volume?

62% Answer Correctly
256π
96π
12π
200π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(22 x 3)
v = 12π