ASVAB Math Knowledge Practice Test 705845 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

What is 4a2 - 6a2?

73% Answer Correctly
-2a2
10
-2a4
24a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

4a2 - 6a2 = -2a2


2

Solve for b:
5b - 7 < \( \frac{b}{-7} \)

44% Answer Correctly
b < -2\(\frac{2}{3}\)
b < 1\(\frac{13}{36}\)
b < -\(\frac{7}{27}\)
b < 1\(\frac{17}{39}\)

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 < sign and the answer on the other.

5b - 7 < \( \frac{b}{-7} \)
-7 x (5b - 7) < b
(-7 x 5b) + (-7 x -7) < b
-35b + 49 < b
-35b + 49 - b < 0
-35b - b < -49
-36b < -49
b < \( \frac{-49}{-36} \)
b < 1\(\frac{13}{36}\)


3

Solve for x:
x2 + 8x + 16 = 0

57% Answer Correctly
-4
7 or 6
9 or -2
8 or 5

Solution

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

x2 + 8x + 16 = 0
(x + 4)(x + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, (x + 4) must equal zero:

If (x + 4) = 0, x must equal -4

So the solution is that x = -4


4

If angle a = 23° and angle b = 36° what is the length of angle c?

70% Answer Correctly
79°
121°
85°
78°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 23° - 36° = 121°


5

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

49% Answer Correctly

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

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).