ASVAB Math Knowledge Practice Test 823667 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.68
Score	0%	74%

Review

Find the value of b:
3b + y = 5
4b + 5y = -7

42% Answer Correctly

	\(\frac{4}{5}\)
	-\(\frac{11}{17}\)
	1\(\frac{2}{5}\)
	2\(\frac{10}{11}\)

Solution

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

3b + y = 5
y = 5 - 3b

then substitute the result (5 - 3b) into the second equation:

4b + 5(5 - 3b) = -7
4b + (5 x 5) + (5 x -3b) = -7
4b + 25 - 15b = -7
4b - 15b = -7 - 25
-11b = -32
b = \( \frac{-32}{-11} \)
b = 2\(\frac{10}{11}\)

If AD = 24 and BD = 17, AB = ?

75% Answer Correctly

	14
	7
	4
	15

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 24 - 17
AB = 7

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

	4
	5
	3
	2

Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

The formula for the area of a circle is which of the following?

77% Answer Correctly

	a = π r²
	a = π d
	a = π d²
	a = π r

Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

	Inside
	First
	Odd
	Last

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.