1. Unfair Math Game review unit 4
Day 16
Objective: SWBAT solve systems of linear equations and inequalities by using the best method in order to find a solution, infinite solutions, a set of solutions or no solution.

2. Which is not a correct linear equation?
A. 𝑦=𝑚𝑥+𝑏 B. 𝑦− 𝑦 1 =𝑚 𝑥− 𝑥 1 C. 𝑦=𝑚𝑥− 𝑦 1 D. 𝐴𝑥+𝐵𝑦=𝐶 C.

3. Find 𝒙 when 𝒇 𝒙 =𝒈(𝒙) if 𝒇 𝒙 = 𝟐 𝟑 𝒙+𝟕 and 𝒈 𝒙 =−𝒙+𝟐
A. 𝑥=−3 B. 𝑦=5 C. (−3, 5) D. 𝑥=5 A.

4. Ms. Robinson is starting a restaurant
Ms. Robinson is starting a restaurant. She needs to buy at least 100 chairs. Chairs with arms cost $80 and chairs without arms cost $70. Ms. Robinson can spend, at most, $7500 on chairs. Which System of inequalities can Ms. Robinson use to find 𝒂, the number of chairs with arms, and 𝒘, the number of chairs without arms, that she can buy? A.

5. A housing development company builds 120 houses
A housing development company builds 120 houses. There are 4 times as many four-bedroom houses, 𝒙, as three-bedroom houses, 𝒚. Which system of equations can be used to determine 𝒙 and 𝒚?
A. 𝑥+𝑦=120 C. 4𝑥+3𝑦=120 𝑦=4𝑥 𝑦=4𝑥 B. 𝑥+𝑦=120 D. 4𝑥+3𝑦=120 𝑥=4𝑦 𝑥=4𝑦 B.

6. Juanita has a part-time job as a lifeguard and makes $12 per hour
Juanita has a part-time job as a lifeguard and makes $12 per hour. She has another part-time job as a babysitter and makes $8 per hour. She works a total of 14 hours in one week, and she makes a total of $ How many hours did Juanita work as a lifeguard? 12 2 14 7 B.

7. Look at this system of equations. 𝟑𝒙+𝟏𝟎𝒚=𝟗 𝟐𝒙−𝟓𝒚=−𝟐
Look at this system of equations. 𝟑𝒙+𝟏𝟎𝒚=𝟗 𝟐𝒙−𝟓𝒚=−𝟐 Which equation could be a step in finding the value of 𝒙 for the system?
A. −𝑥=5 B. −𝑥=13 C. 7𝑥=5 D. 7𝑥=13 C.

8. Look at this system of equations
Look at this system of equations. 𝟐𝒙+𝟒𝒚=𝟓 𝐚𝐧𝐝 𝟏 𝟐 𝒙−𝟐𝒚=𝟖 Which system has the same solution?
A. 2𝑥+4𝑦=5 C. 𝑥+2𝑦=10
𝑥−4𝑦= 𝑥−2𝑦=8
B. 2𝑥+4𝑦=5 D 𝑥+𝑦=− 5 4
𝑥−4𝑦= 𝑥−2𝑦=8 A.

9. Katie is shopping for pens and notebooks
Katie is shopping for pens and notebooks. She has a total of $30 to spend and a coupon that offers special prices if certain conditions are met. With the coupon, pens cost $3 each and notebooks cost $5 each. Katie must purchase at least 6 items. She can purchase no more than 4 items of any type. Katie draws this graph to model the constraints. POSSIBLE BONUS
Which amount of money is possible for Katie to spend for pens and notebooks?
$20
$25
$27
$28

10. Similar to it as bonus and unfair