unit 4: linear function review. play for extra credit!! this review game is posted on mrs....

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Unit 4: Linear Function Review

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Unit 4: Linear Function Review

Play for Extra Credit!!

This Review Game is posted on Mrs. Laurenzi’s website. If you play at home and bring in all of your work for ALL questions you can earn 2 bonus points on the test tomorrow! No late submissions accepted.

1. What is Slope-Intercept Form of a Line?

1. What is Slope-Intercept Form of a Line?

𝑦=𝑚𝑥+𝑏Slope

y-intercept

2. Graph Using Intercepts

−3 𝑥+5 𝑦=−15

2. Graph Using Intercepts

x-int:

y-int:

3. What is the Slope Formula?

3. What is the Slope Formula?

𝑚=𝑦2− 𝑦1𝑥2− 𝑥1

4. Write the Equation of the Line in Slope-Intercept Form

4. Write the Equation of the Line in Slope-Intercept Form

Slope =

y-intercept = 5

𝑦=−12𝑥+5

5. Find the Slope

(−10 ,−2 )(−8,8)

5. Find the Slope

6. Find the Slope

6. Find the SlopeUndefined!!!

7. Graph

7. Graph

8. Write an Equation

Write an equation in slope-intercept form that is PARALLEL to

8. Write an Equation

Write an equation in slope-intercept form that is PARALLEL to

y-intercept can be anything except +7

Slope MUST be 4

Parallel lines have the SAME Slopes

𝑦=4 𝑥−400

9. Write an Equation

Write an equation in slope-intercept form that is PERPENDICULAR to

9. Write an EquationWrite an equation in slope-intercept form that is PERPENDICULAR to

y-intercept can be anythingSlope MUST be

Perpendicular lines have Negative Reciprocal Slopes 𝑦=

16𝑥−400

10. Bake Sale

You sell cupcakes for $1.50 and brownies for $1.00 each. You sold a total of $50.50.

a) Write an equation in standard form. Define your variables.

10. Bake Sale

You sell cupcakes for $1.50 and brownies for $1.00 each. You sold a total of $50.50.

a) Write an equation in standard form. Define your variables.

orx= # cupcakes soldy= # brownies sold

10. Bake SaleYou sell cupcakes for $1.50 and brownies for $1.00 each. You sold a total of $50.50.

b) If you sold 16 brownies, how many cupcakes did you sell?

𝟏 .𝟓𝟎𝒙+𝒚=𝟓𝟎 .𝟓 x= # cupcakes soldy= # brownies sold

10. Bake SaleYou sell cupcakes for $1.50 and brownies for $1.00 each. You sold a total of $50.50.

b) If you sold 16 brownies, how many cupcakes did you sell?

𝟏 .𝟓𝟎𝒙+𝒚=𝟓𝟎 .𝟓 x= # cupcakes soldy= # brownies sold

23 Cupcakes

10. Bake SaleYou sell cupcakes for $1.50 and brownies for $1.00 each. You sold a total of $50.50.

c) Does it make sense for you to have sold 30 cupcakes? Explain. If yes, how many brownies did you sell?

𝟏 .𝟓𝟎𝒙+𝒚=𝟓𝟎 .𝟓 x= # cupcakes soldy= # brownies sold

10. Bake SaleYou sell cupcakes for $1.50 and brownies for $1.00 each. You sold a total of $50.50.

c) Does it make sense for you to have sold 30 cupcakes? Explain. If yes, how many brownies did you sell?

𝟏 .𝟓𝟎𝒙+𝒚=𝟓𝟎 .𝟓 x= # cupcakes soldy= # brownies sold

No, you can’t sell half of a brownie.

11. Art ShowAn artist is renting a booth at an Art Show for $350 and plans to sell framed pictures for $50 each.

a) Write an equation in slope-intercept form to represent this situation. Define your variables.

11. Art ShowAn artist is renting a booth at an Art Show for $350 and plans to sell framed pictures for $50 each.

a) Write an equation in slope-intercept form to represent this situation. Define your variables.x= # pictures soldy= total $ profit 𝒚=𝟓𝟎𝒙−𝟑𝟓𝟎

11. Art ShowAn artist is renting a booth at an Art Show for $350 and plans to sell framed pictures for $50 each.

b) What is the slope and what does it represent in the context of the problem?

x= # pictures soldy= total $ profit𝒚=𝟓𝟎𝒙−𝟑𝟓𝟎

11. Art ShowAn artist is renting a booth at an Art Show for $350 and plans to sell framed pictures for $50 each.

b) What is the slope and what does it represent in the context of the problem?

x= # pictures soldy= total $ profit𝒚=𝟓𝟎𝒙−𝟑𝟓𝟎

Slope is $50 per picture the artist sells

11. Art ShowAn artist is renting a booth at an Art Show for $350 and plans to sell framed pictures for $50 each.

b) What is the y-intercept and what does it represent in the context of the problem?

x= # pictures soldy= total $ profit𝒚=𝟓𝟎𝒙−𝟑𝟓𝟎

11. Art ShowAn artist is renting a booth at an Art Show for $350 and plans to sell framed pictures for $50 each.

b) What is the y-intercept and what does it represent in the context of the problem?

x= # pictures soldy= total $ profit𝒚=𝟓𝟎𝒙−𝟑𝟓𝟎

The y-intercept is -350 for the cost of renting the booth. It is negative because the artist has to PAY $350

12. Graph Using Slope-Intercept Form

9 𝑥+3 𝑦=−18

12. Graph Using Slope-Intercept Form

9 𝑥+3 𝑦=−18

slope= y-int=

13. Graph…

a) Graph b) Graph a line that is Parallel to

13. Graph…

a) Graph b) Graph a line that

is Parallel to and write its equation

Could be x= any number except 7

𝒙=𝟐

13. Graph…

a) Graph c) Graph a line that is Perpendicular to and write its equation

13. Graph…

a) Graph c) Graph a line that is Perpendicular to and write its equation

Could be y= any number

𝒚=𝟏

STUDY FOR YOUR TEST!!!!!