QA 2 Review!

How Many Solutions?

100

-3x+y=9

-3x+y=2

No Solution

200

x-y=-2

3x-y=7

One Solution

300

4x+9=13

3x+4=10

One Solution

400

y=5x+20

3y=15x+60

Infinite Solutions

500

2x+3y=-6

4x+6y=-12

Infinite Solutions

Substitution

100

1000 POINT QUESTION

Tim has $20 to buy snacks for 12 people in an office. Each person will get one snack. Time is buying bags of pretzels that cost $1.50 per bag and bags of crackers that cost $2.00 per bag.

Write a system of equations that can be used to find the values of x and y?

x+y=12

1.5x+2y=20

200

Solve the following system algebraically using substitution:

2x+4y=20

y=x-1

(4,3)

300

Is (1,-4)  a solution the system of equations below? 

2x+y= -2

x – 3y= 13

Yes

-2=-2

13=13

400

Solve the following system algebraically using substitution:

3x+5y=23

y=x+3

Write your answer as an ordered pair (x,y). Show all of your work!

(1,4)

500

Is (2,-3) a solution to the system?

2x+y=1

x-2y=8

Yes

1=1

8=8

Fluency

100

3(x-10)

3x-30

200

-5(3x+8)

-15x-40

300

2x + 3y= 10

Multiply the whole equation by 3.

6x+9y=30

400

-2x+8y=16

Multiply whole equation by -½

x-4y=-8

500

-4x – 4y=12

Multiply whole equation by ½

-2x-2y=6

BONUS x2

100

Wegmans sells ground turkey for $6 per pound and ground chicken for $5 per pound. Ms. Rogers paid $24.50 for a 5-pound mixture of the meats. The system of equations shown can be used to represent this situation.

x+y=24

6x+5y=24.50

What does the variable x represent in the system of equations?

The number of pounds of turkey the customer purchased.

200

Anthony and Julian go to Wendy’s. Anthony orders 3 fries and 5 cheeseburgers and his total bill is $26. Julian's bill is $20 for 4 fries and 3 cheeseburgers. 

Write a system of equations to represent Anthony's bill and Julian's bill.

Anthony - 3x+5y=26

Julian - 4x+3y=20

300

KIPP High School is selling tickets to a talent show performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.

Day 1- 3x+1y=38

Day 2- 3x+2y=52

What does the term 2y represent in the systems of equations?

The number of children's tickets purchased on the second day.

400

A store sells almonds for $8 per pound and peanuts for $14 per pound. A customer paid $31.50 for a 3-pound mixture of almonds and peanuts. The system of equations shown can be used to represent this situation.

x+y=3

8x+14y=31.50

What does the variable x represent in this system of equations?

The number of pounds of almonds the customer purchased.

500

A store sells almonds for $8 per pound and peanuts for $14 per pound. A customer paid $31.50 for a 3-pound mixture of almonds and peanuts. The system of equations shown can be used to represent this situation.

x+y=3

8x+14y=31.50

What does the term 14y represent in this system of equations?

The number of dollars the customer paid for peanuts