ASVAB Math Knowledge Practice Test 711335 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

Find the value of a:
5a + z = 7
-4a - z = -5

42% Answer Correctly
2
-\(\frac{5}{7}\)
\(\frac{17}{18}\)
-\(\frac{46}{71}\)

Solution

You need to find the value of a so solve the first equation in terms of z:

5a + z = 7
z = 7 - 5a

then substitute the result (7 - 5a) into the second equation:

-4a - 1(7 - 5a) = -5
-4a + (-1 x 7) + (-1 x -5a) = -5
-4a - 7 + 5a = -5
-4a + 5a = -5 + 7
a = 2
a = \( \frac{2}{1} \)
a = 2


2

If angle a = 67° and angle b = 44° what is the length of angle c?

71% Answer Correctly
90°
69°
50°
76°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 67° - 44° = 69°


3

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

63% Answer Correctly

the perimeter is the sum of the lengths of all four sides

all interior angles are right angles

the area is length x width

the lengths of all sides are equal


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).


4

On this circle, line segment CD is the:

46% Answer Correctly

diameter

chord

radius

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


5

If a = c = 4, b = d = 5, what is the area of this rectangle?

79% Answer Correctly
24
20
81
72

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 4 x 5
a = 20