ASVAB Math Knowledge Practice Test 79860 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

What is 7a - 3a?

80% Answer Correctly
4a
10
4
4a2

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.

7a - 3a = 4a


2

Solve for z:
z2 + 11z + 28 = 0

59% Answer Correctly
-4 or -7
8 or 3
6 or -9
-3 or -9

Solution

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

z2 + 11z + 28 = 0
(z + 4)(z + 7) = 0

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

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

So the solution is that z = -4 or -7


3

Simplify (y - 7)(y + 4)

64% Answer Correctly
y2 - 3y - 28
y2 + 3y - 28
y2 + 11y + 28
y2 - 11y + 28

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 7)(y + 4)
(y x y) + (y x 4) + (-7 x y) + (-7 x 4)
y2 + 4y - 7y - 28
y2 - 3y - 28


4

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

64% 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).


5

The dimensions of this cylinder are height (h) = 4 and radius (r) = 3. What is the surface area?

48% Answer Correctly
96π
182π
42π
180π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 4)
sa = 2π(9) + 2π(12)
sa = (2 x 9)π + (2 x 12)π
sa = 18π + 24π
sa = 42π