Solving Pairs of Linear Equations with Variables on Both Sides

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3

• (26, 23)

• (26, 29)

• (29, 26)

• (29, 32)

Tags

CCSS.8.EE.C.8C

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5 
  Oatmeal Cookies $3

• Sugar Cookies $4
  Oatmeal Cookies $8

• Sugar Cookies $2
  Oatmeal Cookies $6

• Sugar Cookies $3
  Oatmeal Cookies $6

Tags

CCSS.8.EE.C.8C

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

Tags

CCSS.8.EE.C.8A

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Tags

CCSS.8.EE.C.8A

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

You and your friends decide to fo play mini golf. "Volcano Adventures Mini Golf" asks you to pay $8 for a golf club and ball, then $12 per game. "Exotic Island Mini Golf" asks you to pay $16 for a golf club and ball, then $8 per game. What is the solution to the system and what does it mean?

• (2, 32) at exactly 2 games of mini golf both places will cost $32.

• (1,20) at 20 days both mini golf places only have 1 person playing.

• (32, 2) at 32 games of mini golf both places will cost the same amount.

Tags

CCSS.8.EE.C.8C

To Find the solution to this system of equations, Juan decided to multiply the entire first equation by -1. What method is Juan employing to find the solution?

• Substitution

• Graphing

• No Solution

• Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the first step Terri could take to find the solution to the system of equations using the Elimination Method?

• Multiply by -1 through one equation to flip the signs and create opposite y-values.

• Multiply by -1 through one equation to flip the signs and create opposite x-values.

• Multiply by 1 through one equation to flip the signs and create opposite y-values.

• Isolate a variable and substitute the value in the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

AJ was asked to find the solution to this system of equations. x = 7 - 2y 2x + y = 5 Noticing that x was isolated and set equal to 7 - 2y, he decided to replace x in the second equation with its value. What method is AJ using and what equation did he write?

• Elimination; 2(7-2y) + y = 5

• Graphing; 2x = (7-2y) + y = 5

• Substitution; 2(7-2y) + y = 5

• Substitution; x = 7 - 2y + 2x + y = 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have?  Which system best represents the situation? 

• x + y = 1430
  20x + 50y = 49

• x + y = 49
  10x + 5y = 1430 

• x + y = 49
  20x + 50y = 1430

• x + y = 49
  x + y = 1430

Tags

CCSS.HSA.CED.A.3