BHS Solving Systems by Graphing

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Find the solution for the following system: y = 3x - 7 y = -2x + 3

• (1, -1)

• (1, -4)

• (2, -1)

• (2, 1)

Find the solution for the following system: 2x + y = 9 y = 5x + 2

• No Solution

• (1, 7)

• (4, 1)

• (-1, -3)

Tonya and Phillip want to save money to buy materials for their Robotics Club.

Tonya is able to deposit $40 in her account that she has saved from her job as a waitress. Each week she also deposits $4 from her tips.

Phillip has already saved $40 from mowing lawns over the summer. He plans to also save $10 a week from his allowance.

Write a system of equations to represent this situation.

Tonya: y = ​ (a)   + ​ (b)   x

Phillip: y = 40 + ​ (c)   x

At ​ (d)   weeks, both Tonya and Philip will have ​ (e)   in their account.

• 40
• 4
• 10
• 0
• $40
• $20
• 2
• 5
• $50

A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. The manager spent a total of $132.50.

Write the system of equations if coffee mugs is represented by x and key chains is represented by y.

x + y = ​ (a)  

​ (b)   x + ​ (c)   y = ​ (d)  

How many coffee mugs did the manager purchase?

​ (e)   coffee mugs

• 21
• 8.50
• 2.75
• 132.50
• 13
• 8
• 7

• (6, 7)

• (2, 33)

• (7, 6)

• (33, 2)

What is the solution to the system below? y = 40 + 10x 10x - y = -25

• (-2.5, 0)

• (1, 50)

• (2, 60)

• No Solution

Which graph can be used to find the solution to the systems of equations below?

2x + y = -4

-3y = 2x + 12

• 
• 
• 
• 

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11