Unit 2 Quiz 1 Review

How many solutions does this equation have? $-4\left(3x+2\right)=3\left(-4x+5\right)$  

• No Solution

• One Solution

• Infinite Solution

How many solutions does this equation have?

 $-5\left(2x-4\right)=2\left(10-5x\right)$ 

• No Solution

• One Solution

• Infinite Solution

What the is the definition of no solution?

• Only 1 value for the variable will make both sides equal.

• No matter how many different numbers you substitute for the variable, both sides will NEVER be equal.

• You can put any number in for the variable and both sides will always be EQUAL.

What is the definition of infinitely many solutions?

• The coefficient will always be different. There will only be ONE correct answer.

• The coefficient will be the same but the constants will be different.

• You can put any number into the equation and both sides will be TRUE.

What is the definition of one solution?

• There will only be ONE number that will make both sides equal.

• Any value for the variable can be substituted and both sides will NEVER be equal.

• Any value for the variable can be substituted and both will sides will ALWAYS be equal.

An equation is solved in this picture. How many solutions does the equation have?

• one solution

• no solution

• infinite solutions

• none of these

An equation is solved in this picture. How many solutions does the equation have?

• one solution

• no solution

• infinite solutions

• none of these

Find the solution to the equation: $-13+5a=3\left(a-3\right)$  

•  $a=5$  
  

•  $a=9$  

•  $a=0$  

•  $a=2$  

How many solutions does this equation have? $6x-18=6\left(x-1\right)-12$  

• one solution

• no solution

• infinitely many solutions

 $-118=-5\left(4+7x\right)+7$  

•  $-5$  

•  $-9$  

•  $3$  

•  $-1$