ASVAB Math Knowledge Practice Test 261103 Results

Your Results Global Average
Questions 5 5
Correct 0 2.82
Score 0% 56%

Review

1

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

squaring

deconstructing

normalizing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


2

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

formula

equation

expression


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


3

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h2

π r2h


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


4

Which of the following is not required to define the slope-intercept equation for a line?

41% Answer Correctly

\({\Delta y \over \Delta x}\)

x-intercept

slope

y-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


5

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

36% Answer Correctly

same-side interior angles are complementary and equal each other

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


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°).