Week 4.1 ET Make up Quizizz

Hello! Welcome to the Make up Quizizz for Exit Tickets 22 & 23! Check that you have the following ...

• Time to complete this Quizizz

• Your notes

• A pencil

• Paper to work problems out on

Substitution means _____________ a variable with an expression that is EQUIVALENT. (page 71)

Solve the following system of equations using substitution.

 $x=2$  

 $3x+y=10$  
What is the first step?

• Substitute 2 for x

• Substitute 2 for y

• Give up

Step 1: 

 $3\left(2\right)+y=10$  

What is the next step?

• Subtract 10 on both sides

• Multiply 3*2

• Subtract 32 on both sides

• Divide by 3

 $3\left(2\right)+y=10$  
 $6+y=10$  
What is the NEXT STEP?

• Subtract 10 on both sides

• Add 6 to both sides

• Subtract 6 on both sides 

• Divide by 6 on both sides

 $6+y=10$  
 $-6\ \ \ \ \ \ \ \ \ \ \ \ -6$ 
____________________
               $y=10-6$  
 What is the NEXT STEP?

• COMBINE LIKE TERMS

• Subtract 10 on both sides

• Divide by 6 on both sides

• Tell my teacher how awesome they are

   $y=10-6$  Combine like terms!

  $y=4$  !
So, if  $x=2$  and  $y=4$  my answer is  _____________

• (2,4) 

• (4,2)

• No Solution

• Infinite Solutions

NOW YOU DO IT! What is the solution to the following system?
 $2x+7y=3$  

 $y=-1$  

• (5, -1)

• (5, -5)

• ^{(5/7, -1)}

• (-1, 5)

Use substitution to solve the system below:
 $x=2y+3$  

 $4x-6y=18$  

Step 1: Substitute ___________ in for  $x$  

• 3

•  $2y$  

•  $2y+3$  

•  $4x-6y$  

Step 1: Substitute  $2y+3$  in for  $x$  in the second equation.
 $4\left(2y+3\right)-6y=18$  

Step 2: Distribute 4 into the ( ). What do you get?

•  $8y+12-6y=18$  

•  $4y+4-6y=18$  

•  $8y+12=18$  

•  $8y+12-24y=18$