Representing Situations with Inequalities

Lesson 15 Representing Situations with Inequalities

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Multiple Choice

• A

• B

• C

• D

Multiple Select

Jada is making lemonade for a get-together with her friends. She expects a total of 5 to 8 people to be there (including herself). She plans to prepare 2 cups of lemonade for each person.

The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n represent the number of people at the get-together, c the number of cups of water, ℓ the number of scoops of lemonade powder.

Select all the mathematical statements that represent the quantities and constraints in the situation.

• $$5\le n\le8$$

• $$c=2n$$

• $$l=c$$

• $$10\le l\le16$$

Open Ended

Open Ended

Multiple Choice

• A

• B

• C

• D

Fill in the Blanks

Solve each system of equations without graphing.

{2x+3y=5

2x+4y=9

Enter your answer as an ordered pair with no spaces . Ex (5,-6) Use decimals as needed. Round to two decimal places.

Fill in the Blanks

Solve each system of equations without graphing.

{23x+y=73

23x−y=1

Enter your answer as an ordered pair with no spaces . Ex (5,-6) Use decimals as needed. Round to two decimal places.

Open Ended

Multiple Choice

• A

• B

• C

• D

Multiple Choice

How many solutions does this system of equations have? Explain how you know.

{y=-4x+3

2x+8y=10

• No solutions.

• One solution.

• Many Solutions.