ASVAB Math Knowledge Practice Test 47493 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

Find the value of b:
-b + y = 2
5b + 9y = 7

42% Answer Correctly
-1\(\frac{4}{65}\)
-\(\frac{11}{14}\)
\(\frac{1}{16}\)
-\(\frac{13}{19}\)

Solution

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

-b + y = 2
y = 2 + b

then substitute the result (2 - -1b) into the second equation:

5b + 9(2 + b) = 7
5b + (9 x 2) + (9 x b) = 7
5b + 18 + 9b = 7
5b + 9b = 7 - 18
14b = -11
b = \( \frac{-11}{14} \)
b = -\(\frac{11}{14}\)


2

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

equation

expression

problem

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


3

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral, isosceles and right

isosceles and right

equilateral and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


4

Simplify (5a)(3ab) - (7a2)(8b).

62% Answer Correctly
41ab2
120a2b
71a2b
-41a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(3ab) - (7a2)(8b)
(5 x 3)(a x a x b) - (7 x 8)(a2 x b)
(15)(a1+1 x b) - (56)(a2b)
15a2b - 56a2b
-41a2b


5

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

acute, obtuse

supplementary, vertical

obtuse, acute

vertical, supplementary


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).