ASVAB Math Knowledge Practice Test 363585 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

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.


2

Simplify (y - 7)(y + 8)

64% Answer Correctly
y2 - 15y + 56
y2 + 15y + 56
y2 - y - 56
y2 + y - 56

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 - 7)(y + 8)
(y x y) + (y x 8) + (-7 x y) + (-7 x 8)
y2 + 8y - 7y - 56
y2 + y - 56


3

If angle a = 36° and angle b = 34° what is the length of angle d?

56% Answer Correctly
130°
117°
124°
144°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 36° - 34° = 110°

So, d° = 34° + 110° = 144°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 36° = 144°


4

Simplify (8a)(3ab) + (9a2)(9b).

66% Answer Correctly
198ab2
-57a2b
105a2b
105ab2

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.

(8a)(3ab) + (9a2)(9b)
(8 x 3)(a x a x b) + (9 x 9)(a2 x b)
(24)(a1+1 x b) + (81)(a2b)
24a2b + 81a2b
105a2b


5

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

52% Answer Correctly

rhombus

quadrilateral

triangle

trapezoid


Solution

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