ASVAB Math Knowledge Practice Test 996654 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

Solve for x:
x2 + 5x - 3 = 3x + 5

49% Answer Correctly
8 or 8
8 or -9
2 or -4
-7 or -7

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 + 5x - 3 = 3x + 5
x2 + 5x - 3 - 5 = 3x
x2 + 5x - 3x - 8 = 0
x2 + 2x - 8 = 0

Next, factor the quadratic equation:

x2 + 2x - 8 = 0
(x - 2)(x + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x + 4) must equal zero:

If (x - 2) = 0, x must equal 2
If (x + 4) = 0, x must equal -4

So the solution is that x = 2 or -4


2

A right angle measures:

91% Answer Correctly

360°

180°

90°

45°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

trapezoid

rhombus

quadrilateral

triangle


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


4

The dimensions of this cube are height (h) = 4, length (l) = 4, and width (w) = 2. What is the surface area?

51% Answer Correctly
314
486
64
124

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 4 x 2) + (2 x 2 x 4) + (2 x 4 x 4)
sa = (16) + (16) + (32)
sa = 64


5

Simplify (3a)(2ab) + (8a2)(3b).

65% Answer Correctly
30a2b
-18ab2
18a2b
55ab2

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.

(3a)(2ab) + (8a2)(3b)
(3 x 2)(a x a x b) + (8 x 3)(a2 x b)
(6)(a1+1 x b) + (24)(a2b)
6a2b + 24a2b
30a2b