ASVAB Math Knowledge Practice Test 356820 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

Find the value of b:
3b + z = -7
b + 5z = -3

42% Answer Correctly
-2\(\frac{2}{7}\)
2\(\frac{7}{19}\)
9\(\frac{4}{5}\)
\(\frac{7}{8}\)

Solution

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

3b + z = -7
z = -7 - 3b

then substitute the result (-7 - 3b) into the second equation:

b + 5(-7 - 3b) = -3
b + (5 x -7) + (5 x -3b) = -3
b - 35 - 15b = -3
b - 15b = -3 + 35
-14b = 32
b = \( \frac{32}{-14} \)
b = -2\(\frac{2}{7}\)


2

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

64% Answer Correctly

the area is length x width

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

the lengths of all sides are equal

all interior angles are right angles


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).


3

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

chord

diameter


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).


4

If side a = 6, side b = 8, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{106} \)
\( \sqrt{145} \)
10
\( \sqrt{53} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 62 + 82
c2 = 36 + 64
c2 = 100
c = \( \sqrt{100} \)
c = 10


5

If angle a = 24° and angle b = 44° what is the length of angle c?

71% Answer Correctly
132°
112°
85°
111°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 44° = 112°