ASVAB Math Knowledge Practice Test 222095 Results

Your Results Global Average
Questions 5 5
Correct 0 3.05
Score 0% 61%

Review

1

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the area is length x width

the perimeter is the sum of the lengths of all four sides

the lengths of all sides are equal

all interior angles are right angles


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


2

Simplify (7a)(3ab) + (5a2)(3b).

65% Answer Correctly
-6a2b
36a2b
36ab2
-6ab2

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.

(7a)(3ab) + (5a2)(3b)
(7 x 3)(a x a x b) + (5 x 3)(a2 x b)
(21)(a1+1 x b) + (15)(a2b)
21a2b + 15a2b
36a2b


3

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

diameter

circumference

radius


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


4

Which of the following expressions contains exactly two terms?

82% Answer Correctly

binomial

quadratic

polynomial

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


5

Solve for x:
-4x + 3 = \( \frac{x}{3} \)

46% Answer Correctly
\(\frac{28}{31}\)
-\(\frac{3}{11}\)
\(\frac{9}{13}\)
\(\frac{12}{37}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-4x + 3 = \( \frac{x}{3} \)
3 x (-4x + 3) = x
(3 x -4x) + (3 x 3) = x
-12x + 9 = x
-12x + 9 - x = 0
-12x - x = -9
-13x = -9
x = \( \frac{-9}{-13} \)
x = \(\frac{9}{13}\)