ASVAB Math Knowledge Practice Test 612457 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

Simplify (y - 1)(y - 3)

64% Answer Correctly
y2 + 4y + 3
y2 - 4y + 3
y2 + 2y - 3
y2 - 2y - 3

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 1)(y - 3)
(y x y) + (y x -3) + (-1 x y) + (-1 x -3)
y2 - 3y - y + 3
y2 - 4y + 3


2

Simplify (5a)(2ab) + (8a2)(7b).

66% Answer Correctly
-46ab2
66ab2
105ab2
66a2b

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.

(5a)(2ab) + (8a2)(7b)
(5 x 2)(a x a x b) + (8 x 7)(a2 x b)
(10)(a1+1 x b) + (56)(a2b)
10a2b + 56a2b
66a2b


3

If the base of this triangle is 6 and the height is 3, what is the area?

59% Answer Correctly
63
28
9
40\(\frac{1}{2}\)

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 3 = \( \frac{18}{2} \) = 9


4

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

parallel

equal angle

right angle

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


5

This diagram represents two parallel lines with a transversal. If z° = 14, what is the value of w°?

73% Answer Correctly
14
140
32
142

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with z° = 14, the value of w° is 14.