**Chapter 4 Quiz #2 Review

What is the first step in solving the equation $2\left(3x-4\right)=3x+1$   

• Distribute

• Subtract 3x from both sides

• Add 4 to both sides

• Combine Like Terms

Simplify the equation to determine if the equation has one, none, or infinitely many solutions.
 $3x\ +15\ =\ 3\left(x+5\right)$  

• One Solution

• No Solution

• Infinitely Many Solutions

Solve the equation:
 $12.5\ -\ 4g\ =\ -2g\ -\ 3.5$  

• g = -8

• g = 8

• g = 10

• g = 1.25

Simplify the equation to determine if the equation has one, none, or infinitely many solutions.
 $8n\ -\ 2\left(n+5\right)=-3\ +\ 6n$  

• One Solution

• Infinitely Many Solutions

• No Solution

What is the solution to the following equation? $2\left(-x-4\right)=4x\ +16$   

• -4

• 3

• -3

• 4

A student was solving the equation $8x\ +\ 4\ -6x\ +10=24$   

Their work is below:
Step 1: 2x + 14 =24
Step 2: 2x = 38
Step 3: x = 19

What is their error?

• They combined like terms incorrectly

• They added 14 to both sides instead of subtracting

• They divided incorrectly

• There were no errors made

Solve the equation by clearing the fractions. $\frac{1}{6}\left(\frac{2}{3}x+\frac{1}{2}\right)=\frac{1}{8}\left(\frac{5}{6}+2x\right)$  

•  $\frac{15}{4}$  

•  $-\frac{3}{20}$  

•  $\frac{3}{20}$  

•  $-\frac{15}{4}$  

What is the solution to this equation?

• One Solution

• No Solution

• Infinitely Many Solutions

Find the Error: What error did the student make below?

 $\frac{1}{5}x\ +6=\frac{3}{5}x\ +5$  

Step 1:  $1x\ +6\ =\ 3x\ +5$  
Step 2:  $-2x\ +\ 6\ =5$  
Step 3:  $-2x\ =\ -1$  
Step 4:  $x\ =\ \frac{1}{2}$  

• The student found an incorrect common denominator

• The student did not multiply all terms by the common demoniator

• The student did not use opposite operations correctly

• The student did not correctly eliminate the variable from one side of the equation

Simplify the equation to determine if the equation has one, none, or infinitely many solutions.
 $3x\ -8=3\left(x-4\right)+4$  

• One Solution

• Infinitely Many Solutions

• No Solution