ASVAB Math Knowledge Practice Test 2795 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

If a = c = 3, b = d = 9, what is the area of this rectangle?

80% Answer Correctly
27
10
42
8

Solution

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

a = l x w
a = a x b
a = 3 x 9
a = 27


2

Simplify (2a)(4ab) + (3a2)(9b).

65% Answer Correctly
35a2b
-19a2b
19a2b
35ab2

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) + (3a2)(9b)
(2 x 4)(a x a x b) + (3 x 9)(a2 x b)
(8)(a1+1 x b) + (27)(a2b)
8a2b + 27a2b
35a2b


3

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

the perimeter of a parallelogram is the sum of the lengths of all sides


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


4

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

acute, right, obtuse

acute, obtuse, right

right, acute, obtuse

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

Solve for x:
x2 - 14 = -3x + 4

48% Answer Correctly
3 or -6
6 or -6
8 or -3
4 or 4

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:

x2 - 14 = -3x + 4
x2 - 14 - 4 = -3x
x2 + + 3x - 18 = 0
x2 + 3x - 18 = 0

Next, factor the quadratic equation:

x2 + 3x - 18 = 0
(x - 3)(x + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 3) or (x + 6) must equal zero:

If (x - 3) = 0, x must equal 3
If (x + 6) = 0, x must equal -6

So the solution is that x = 3 or -6