ASVAB Math Knowledge Practice Test 759006 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

Solve for y:
y2 + 2y - 8 = 0

58% Answer Correctly
2 or -4
1 or -2
8 or 5
5 or 2

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 + 2y - 8 = 0
(y - 2)(y + 4) = 0

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

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

So the solution is that y = 2 or -4


2

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

63% Answer Correctly

the area is length x width

the lengths of all sides are equal

all interior angles are right angles

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


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).


3

Simplify (3a)(6ab) - (5a2)(4b).

62% Answer Correctly
81ab2
38ab2
-2a2b
38a2b

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)(6ab) - (5a2)(4b)
(3 x 6)(a x a x b) - (5 x 4)(a2 x b)
(18)(a1+1 x b) - (20)(a2b)
18a2b - 20a2b
-2a2b


4

Which of the following expressions contains exactly two terms?

83% Answer Correctly

polynomial

monomial

quadratic

binomial


Solution

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


5

If angle a = 36° and angle b = 66° what is the length of angle c?

71% Answer Correctly
50°
78°
64°
58°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 36° - 66° = 78°