AnswersMathematics 8Linear Equations

Practice Test Answers

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Ronin draws a square with a measure of (x+2) inches on each side. The perimeter of his square is 96 inches. The equation represents the perimeter of the square. 4 times open paren x plus 2 close paren is equal to 96 What is the value of x ?

A
26
B
24
C
16
D
22
2
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Which is a reasonable first step that can be used to solve the equation 4 x plus 3 times open paren x plus 2 close paren is equal to 5 times open paren 2 x minus 3 close paren ?

A
Apply the subtraction property of equality to move the 2 from the left to the right side of the equation.
B
Distribute the 3 to x plus 2 , and distribute the 5 to open paren 2 x minus 3 close paren .
C
Combine 4 x and x on the left side of the equation.
D
Apply the addition property of equality to move the 3 from the right to the left side of the equation.
3

Consider the following expression and the simplified expression. Expression Simplified Expression 3 x squared plus 5 y squared square plus 3 square plus 4 y squared plus 6 9 x squared minus y squared plus 9 Which terms could be in the boxes to make the expressions equivalent?

A
plus 9 x squared and negative 10 y squared
B
plus 6 x squared and negative 6 y squared
C
plus 6 x squared and negative 10 y squared
D
plus 9 x squared and negative 6 y squared
4

Three times a number minus ten is equal to the sum of twice the same number and five. The given equation represents the situation. 3 x minus 10 is equal to 2 x plus 5 What is the value of x ?

A
15
B
negative 5
C
negative 1
D
3
5

Veronique tried four different solutions to the matching problem shown. Which of her four answers would be the correct one? Term Definition variable a numerical factor of a term that has a variable coefficient a letter or symbol used to represent an unknown quantity constant a term without a variable

A
Image with description A table has 3 terms and 3 definitions. A line is drawn from variable to a term without a variable. A line is drawn from coefficient to a numerical factor of a term that has a variable. A line is drawn from constant to a letter or symbol used to represent an unknown quantity.
B
Image with description A table has 3 terms and 3 definitions. A line is drawn from variable to a numerical factor of a term that has a variable. A line is drawn from coefficient to a term without a variable. A line is drawn from constant to a letter or symbol used to represent an unknown quantity.
C
Image with description A table has 3 terms and 3 definitions. A line is drawn from variable to a letter or symbol used to represent an unknown quantity. A line is drawn from coefficient to a term without a variable. A line is draw from constant to a numerical factor of a term that has a variable.
D
Image with description A table has 3 terms and 3 definitions. A line is drawn from variable to a letter or symbol used to represent an unknown quantity. A line is drawn from coefficient to a numerical factor of a term that has a variable. A line is drawn from constant to a term without a variable.
6

Which property should Remus use to solve the given equation? 7 q is equal to 49

A
division property of equality
B
identity property of equality
C
addition property of equality
D
subtraction property of equality
7

Three investors own a company. One partner owns 1 fourth of the company, while the second partner owns 2 fifths of the company. How much does the third partner own?

A
2 thirds
B
7 over 20
C
13 over 20
D
17 over 20
8

Which steps can be used in order to determine the solution to negative 1 point 3 plus 4 point 6 x is equal to 0 point 3 plus 4 x ?

A
Add 1 point 3 to both sides of the equation, subtract 4 point 6 x from both sides of the equation, then divide both sides by the coefficient of x .
B
Subtract 1 point 3 from both sides of the equation, subtract 4 point 6 x from both sides of the equation, then divide both sides by the coefficient of x .
C
Add 1 point 3 to both sides of the equation, subtract 4 x from both sides of the equation, then divide both sides by the coefficient of x .
D
Subtract 1 point 3 from both sides of the equation, add 4 x to both sides of the equation, then divide by the coefficient of x .
9

Leonardo is solving the equation 4⁢(x−15)=223. His work is shown. Where is his error? Leonardo's Work 4 times open paren x minus 1 fifth close paren is equal to 2 and 2 thirds 4 x minus 4 fifths is equal to 2 and 2 thirds step 1 4 x is equal to 8 thirds plus 4 fifths step 2 4 x is equal to 40 over 15 plus 16 over 15 step 3 4 x is equal to 56 over 15 times 1 fourth step 4 x is equal to 14 over 15

A
step 2
B
step 4
C
step 1
D
step 3
10

Which equation would be best solved by using the addition property of equality?

A
23 f is equal to 45
B
f minus 23 is equal to 45
C
f divided by 23 is equal to 45
D
f plus 23 is equal to 45
11

To solve the equation, Antwan uses the distributive property, combines like terms, then uses the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible values of the constant after Antwan has completed these steps? 3 times open paren 1 third x plus 1 close paren plus 4 is equal to negative 1 minus 4 times open paren x plus 3 close paren

A
negative 3 or 3
B
negative 3 or 5
C
negative 20 or 5
D
negative 20 or 20
12

What is the value of x in the equation? Round to the nearest hundredths place. 0 point 4 5 times open paren x plus 1 point 6 close paren plus 5 x is equal to 18

A
36 point 4 4
B
3 point 0 1
C
38 point 4 0
D
3 point 1 7

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