ASVAB Math Knowledge Practice Test 931379 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

Solve for a:
a2 - 10a + 16 = 0

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

Solution

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

a2 - 10a + 16 = 0
(a - 2)(a - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 2) or (a - 8) must equal zero:

If (a - 2) = 0, a must equal 2
If (a - 8) = 0, a must equal 8

So the solution is that a = 2 or 8


2

What is the area of a circle with a radius of 2?

69% Answer Correctly

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


3

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

angles in the same position on different parallel lines are called corresponding angles

all of the angles formed by a transversal are called interior angles

all acute angles equal each other

same-side interior angles are complementary and equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


4

Simplify 5a x 8b.

85% Answer Correctly
40\( \frac{b}{a} \)
40ab
40\( \frac{a}{b} \)
40a2b2

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.

5a x 8b = (5 x 8) (a x b) = 40ab


5

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

3

2

4

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.