ASVAB Math Knowledge Practice Test 956537 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

Find the value of b:
3b + x = -4
-6b - 5x = -1

41% Answer Correctly
-\(\frac{1}{9}\)
-\(\frac{1}{16}\)
-2\(\frac{1}{3}\)
1\(\frac{5}{7}\)

Solution

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

3b + x = -4
x = -4 - 3b

then substitute the result (-4 - 3b) into the second equation:

-6b - 5(-4 - 3b) = -1
-6b + (-5 x -4) + (-5 x -3b) = -1
-6b + 20 + 15b = -1
-6b + 15b = -1 - 20
9b = -21
b = \( \frac{-21}{9} \)
b = -2\(\frac{1}{3}\)


2

If side x = 14cm, side y = 5cm, and side z = 11cm what is the perimeter of this triangle?

83% Answer Correctly
31cm
27cm
25cm
30cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 14cm + 5cm + 11cm = 30cm


3

If the base of this triangle is 8 and the height is 5, what is the area?

58% Answer Correctly
20
36
49
42

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 8 x 5 = \( \frac{40}{2} \) = 20


4

On this circle, a line segment connecting point A to point D is called:

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).


5

If a = 5, b = 6, c = 1, and d = 9, what is the perimeter of this quadrilateral?

88% Answer Correctly
11
21
23
17

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 5 + 6 + 1 + 9
p = 21