ASVAB Math Knowledge Practice Test 112162 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

What is 8a - 5a?

79% Answer Correctly
13a2
40a2
40a
3a

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.

8a - 5a = 3a


2

Solve for b:
8b + 6 > \( \frac{b}{1} \)

44% Answer Correctly
b > -\(\frac{12}{31}\)
b > -\(\frac{24}{25}\)
b > \(\frac{18}{43}\)
b > -\(\frac{6}{7}\)

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.

8b + 6 > \( \frac{b}{1} \)
1 x (8b + 6) > b
(1 x 8b) + (1 x 6) > b
8b + 6 > b
8b + 6 - b > 0
8b - b > -6
7b > -6
b > \( \frac{-6}{7} \)
b > -\(\frac{6}{7}\)


3

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

49% Answer Correctly

the area of a parallelogram is base x height

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

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal


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).


4

Solve for y:
y2 - 3y - 28 = 0

58% Answer Correctly
8 or -2
-4 or 7
-2 or -5
7 or -3

Solution

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

y2 - 3y - 28 = 0
(y + 4)(y - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 4) or (y - 7) must equal zero:

If (y + 4) = 0, y must equal -4
If (y - 7) = 0, y must equal 7

So the solution is that y = -4 or 7


5

If side x = 9cm, side y = 11cm, and side z = 9cm what is the perimeter of this triangle?

84% Answer Correctly
25cm
34cm
27cm
29cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 9cm + 11cm + 9cm = 29cm