ASVAB Math Knowledge Practice Test 437048 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

What is 2a + 4a?

81% Answer Correctly
a2
6
6a
8a2

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.

2a + 4a = 6a


2

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

50% Answer Correctly

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

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

a parallelogram is a quadrilateral


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).


3

If angle a = 54° and angle b = 31° what is the length of angle d?

56% Answer Correctly
116°
126°
136°
132°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 54° - 31° = 95°

So, d° = 31° + 95° = 126°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 54° = 126°


4

A coordinate grid is composed of which of the following?

92% Answer Correctly

y-axis

x-axis

all of these

origin


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


5

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

42% Answer Correctly

x-intercept

slope

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

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.