Algebra 1 Unit 3 Systems of Equations

The graph representing income and expenses for Elizabeth's craft shop are shown in the picture. In which month was Elizabeth making a profit (where income is greater than expenses)?

• January

• February

• March

• April

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Note: Do not type the dollar sign ($) in your answer.

Two food delivery services charge different rates. Service A charges $20 flat fee plus $0.25 per dollar spent. Service B charges a flat fee of $10.00 plus $0.45 per dollar spent. Select the TWO equations you can use to solve this system (CHOOSE TWO).

Tags

CCSS.8.EE.C.8C

Note: Do not type the dollar sign ($) in your answer.

Two food delivery services charge different rates. Service A charges $20 flat fee plus $0.25 per dollar spent. Service B charges a flat fee of $10.00 plus $0.45 per dollar spent. You would have to spend ______ dollars for both services to cost the same.

Mathematical Equivalence

ON

Mrs. Miller has 80 coins totaling $12.05. If the coins are dimes and quarters only, which system of equations can be used to find the number of dimes and the number of quarters. Assume x = # dimes and y = # quarters.

Tags

CCSS.HSA.CED.A.3

Mrs. Miller has 80 coins totaling $12.05. If the coins are dimes and quarters only, which system of equations can be used to find the number of dimes and the number of quarters. Assume x = # dimes and y = # quarters.

Where x = # dimes and y = # quarters

Solve this system and fill in the blanks (use a comma to separate your answers) and no spaces.

Mrs. Miller has _____ dimes and _____ quarters.

(a)  

Tags

CCSS.8.EE.C.8C

At a bake sale, Mr. Smith had 37 treats in a box. The treats were pies and cupcakes only. If the number of cupcakes is 8 less than twice the number of pies, which system of equations will determine the number of pies and the number of cupcakes?

Let p = # pies and c = # cupcakes.

Tags

CCSS.HSA.CED.A.3

At a bake sale, Mr. Smith had 37 treats in a box. The treats were pies and cupcakes only. If the number of cupcakes is 8 less than twice the number of pies, how many pies and how many cupcakes were in the box? Let p = # pies and c= # cupcakes. Solve the system from the previous question.

There were ___ pies and ____ cupcakes. Separate your answers with a comma (no spaces).

(a)  

Tags

CCSS.8.EE.C.8C

You are running a concession stand for a soccer game. At the end of the day, you found that 185 cups had been used. The only drinks you sell are coffee and soda. If coffee is $0.50 each and soda is $0.80 each, how many coffees and how many sodas did you sell if you earned $125.50?

You sold ___ coffees and ___ sodas (separate answers with a comma)

(a)  

Tags

CCSS.8.EE.C.8C

You are running a concession stand for a soccer game. At the end of the day, you found that 185 cups had been used. The only drinks you sell are coffee and soda. If coffee is $0.50 each and soda is $0.80 each, find the number of coffees (x) and the number of sodas (y) that were sold if you earned $125.50

When Maria solved this system, she got the ordered pair (-25, 200). Select ALL of the reasons that Maria should know her answer is not correct.

• It's not possible to sell a negative number of coffees

• It's not possible to sell a negative number of sodas.

• Only 185 cups were used so you could not have sold 200 drinks.

• There's no way to know why Maria's answer is wrong.

Tags

CCSS.8.EE.C.8C

How many solutions does this system have?

• One

• Two

• An infinite number

• No solution

Tags

CCSS.8.EE.C.8B