ASVAB Math Knowledge Practice Test 609609 Results

Your Results Global Average
Questions 5 5
Correct 0 2.80
Score 0% 56%

Review

1

What is 6a7 + 5a7?

76% Answer Correctly
11a7
a714
11
11a14

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.

6a7 + 5a7 = 11a7


2

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

rhombus

quadrilateral

triangle

trapezoid


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


3

The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?

48% Answer Correctly
140π
72π
12π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π


4

Solve for a:
-6a - 4 < \( \frac{a}{-1} \)

45% Answer Correctly
a < 1\(\frac{1}{19}\)
a < -1\(\frac{5}{9}\)
a < 1\(\frac{1}{2}\)
a < -\(\frac{4}{5}\)

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.

-6a - 4 < \( \frac{a}{-1} \)
-1 x (-6a - 4) < a
(-1 x -6a) + (-1 x -4) < a
6a + 4 < a
6a + 4 - a < 0
6a - a < -4
5a < -4
a < \( \frac{-4}{5} \)
a < -\(\frac{4}{5}\)


5

Solve for z:
z2 + 7z - 8 = 0

59% Answer Correctly
2 or -7
7 or -4
9 or 4
1 or -8

Solution

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

z2 + 7z - 8 = 0
(z - 1)(z + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z + 8) must equal zero:

If (z - 1) = 0, z must equal 1
If (z + 8) = 0, z must equal -8

So the solution is that z = 1 or -8