ASVAB Math Knowledge Practice Test 660815 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

Solve for a:
a2 - 4a + 1 = -5a + 3

49% Answer Correctly
-4 or -4
1 or -2
5 or -4
4 or -3

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:

a2 - 4a + 1 = -5a + 3
a2 - 4a + 1 - 3 = -5a
a2 - 4a + 5a - 2 = 0
a2 + a - 2 = 0

Next, factor the quadratic equation:

a2 + a - 2 = 0
(a - 1)(a + 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 1) or (a + 2) must equal zero:

If (a - 1) = 0, a must equal 1
If (a + 2) = 0, a must equal -2

So the solution is that a = 1 or -2


2

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

acute, obtuse, right

acute, right, obtuse

right, obtuse, acute

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


3

If the base of this triangle is 9 and the height is 4, what is the area?

59% Answer Correctly
36
60
18
33

Solution

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

a = ½bh
a = ½ x 9 x 4 = \( \frac{36}{2} \) = 18


4

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

a parallelogram is a quadrilateral

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal

the perimeter of a parallelogram is the sum of the lengths of all sides


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


5

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

62% Answer Correctly
117ab2
26a2b
-26ab2
54ab2

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)(5ab) - (7a2)(2b)
(8 x 5)(a x a x b) - (7 x 2)(a2 x b)
(40)(a1+1 x b) - (14)(a2b)
40a2b - 14a2b
26a2b