slps continuous learning april 27 may 8

SLPS Continuous Learning

April 27 – May 8

Welcome!

You can print this packet directly from the site or pick up a packet from

one of the lunch sites that are open Monday through Friday from 8:00

am to 12:00 pm.

Students are encouraged to maintain contact with their home school and classroom teacher(s). If you have not already done so, please visit your child’s school website to access individual teacher web pages for specific learning/assignment information. If you cannot reach your teacher and have elected to use these resources, please be mindful that some learning activities may require students to reply online, while others may require students to respond using paper and pencil. In the event online access is not available, please record responses on paper. Completed work should be dropped off at your child’s school. Please contact your child’s school for the dates and times to drop off your child’s work. If you need additional resources to support virtual learning, please visit: https://www.slps.org/extendedresources

If you have any questions or concerns please contact your child’s

teacher or myself ([email protected] or 314-532-3574)

Thank you and enjoy a great learning day!

Zehra Khan

Secondary Math Curriculum Specialist

https://www.slps.org/extendedresources

mailto:[email protected]

Learning Standards/Objectives:

1) I can solve a system of linear equations algebraically and/or graphically

2) I can represent constraints by equations or inequalities and by systems of

equations or inequalities, and interpret the data points as a solution or non-

solution in a modeling context.

3) I can solve problems involving a system of linear inequalities.

Algebra 150 Learning Plan

Date Topic Practice April 27,

2020 Linear Function Review

Students should watch the video(s) and complete review practice questions

https://youtu.be/WkspBxrzuZo

Review 1

Review 2

April 28, 2020

Solving Systems of Equations by Graphing

Students should watch the video(s) and complete practice questions

https://youtu.be/5a6zpfl50go

Practice

April 29, 2020

Solving Systems of Equations by Substitution


https://youtu.be/GWZKz4F9hWM

Practice

April 30, 2020

Solving Systems of Equations by Elimination


https://youtu.be/NPXTkj75-AM

Practice

May 1, 2020

Linear Inequalities in Two Variables


https://youtu.be/FnrqBgot3jM

https://youtu.be/YBYu5aZPLeg

Practice

https://youtu.be/WkspBxrzuZo

https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/EcASCPwaR-1IoDtJrkcbxJkBcexwAk2bM4ZeEr3VXfHKcw?e=cggQef

https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/EW6Z3tgMeyhDtXSY9xWyzWwBkSSFTCX4oYuQqE6XtXrRjg?e=UOu8Cr


https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/EaLeOzLyFHBBgfLz3Z_cizwBlRb4ksHVNOic2gtU6ybVYA?e=ucBA3o


https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/EZ3aGEPGRthBmOBh6OFl3JwBKeXSbydpJSB6jJ0axwJxXQ?e=ILZpel

https://youtu.be/NPXTkj75-AM

https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/EYMGeLoSVPZOgCGUOHyk2FkBXCu3v8xJbCzTiu-V5ECAqA?e=JuaQ3n

https://youtu.be/FnrqBgot3jM

https://youtu.be/YBYu5aZPLeg

https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/ESDBr_2Cf2lEgRhYN1H__h0BnhRZ2vGldVDVhQzKEoBq2Q?e=Fl7Jzf

Algebra 150 Learning Plan

Date Topic Practice

May 4, 2020

Systems of Linear Inequalities


https://youtu.be/CA4S7S-3Lg4

https://youtu.be/YjT3QYfoy4Q

Practice

May 5, 2020

Systems of Equations and Inequalities Review




Review 1

May 6, 2020

Systems of Equations and Inequalities Review




Review 2

May 7, 2020

Systems of Linear Equations and Inequalities Practice Assessment

Students should complete practice questions

Practice Topic Assessment

May 8, 2020

Systems of Linear Equations and Inequalities Performance Assessment

Students should complete practice questions

Practice Performance Assessment



https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/EamlZffg-gBOmVoevcSOZeAB2WCygUiG5EKVSnzPI0ceBw?e=AKDhfH



https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/Ee6AaKNFUadLuQkZn5bCRhEBCdXiw-FMUbAWzZuPqGIvmQ?e=f3Zipa



https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/EQcrlf6TO7RKpe03bkxGCXABspNUp6nuXvZQxEEABvWb6Q?e=SQ4Tct

https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/ESGZcc6c54lOgBNEgZAz1gwBN-_dhnno8edg8TBwXM8qIg?e=KPEWkt

https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/EV-iw5ZOvRxKgpqzqCK0UpABjhoAyKGvCoGfRnsQUibgFA?e=NpBq5k

https://stlps-my.sharepoint.com/:b:/g/personal/znoorula6374_slps_org/EV-iw5ZOvRxKgpqzqCK0UpABjhoAyKGvCoGfRnsQUibgFA?e=NpBq5k

NamePearsonRealize.com

Common Core Standards Practice Week 7

Selected Response

1. Find the slope of the line that passes through the points (−1, 9) and (3, 17).

𝖠 −8

𝖡 −2

𝖢 2

𝖣 8

Constructed Response

2. What is the value of the expression 4(xy ) 2 − 2x + 5y for x = 6 and y = 2?

Extended Response

3. Camilla and Nadia start a business tutoring students in math. They rent an office for $250 per month and charge $20 per hour per student.

a. If they have 10 students each for one hour per week, how much profit do they make in a month? Write a linear equation to solve this problem. Assume that there are 4 weeks in one month.

b. Graph the equation from part (a) and explain what it models.

yO

x

−100

−200

84 12

enVision™ Algebra 1 • Assessment Resources



Selected Response

1. Solve the formula pV = nRT for T.

𝖠 T = pV − nR

𝖡 T = pVnR

𝖢 T = pV

___ nR

𝖣 T = pV


2. The ordered pairs below show (study time in hours, test score) for a group of students. Make a scatter plot and draw a trend line for the data. What would you expect a student who studied 6 hours to score on the test?

(3, 72), (5, 80), (2, 65), (7, 90), (1, 62), (4, 70), (8, 92)

40

60

80

2 4 6 80

0

Extended Response

3. A teacher surveys her students about the amount of physical activity they get each week. She also measures each student’s body mass index (BMI).

10

16

4

26

5

23

7

20

10

15

9

17

7

18

Active Hours

BMI

a. Use a calculator to find the correlation coefficient for the data.

b. Does this relationship show correlation or causation or both? Explain.



4-1 Additional PracticeSolving Systems of Equations by Graphing

Use a graph to solve each system of equations. List the solution.

1.

{ y = 2x − 1

y = −4x − 7

2−2

y

Ox

2

2.

{ 18x − 3y = 21

y = 6x − 7

2−2

y

Ox

2

3.

{ y = 6x + 4

6x − y = 1

2−2

y

Ox

2

Use a graph to approximate the solution of each system. List the estimated solution.

4.

{ y = 5x − 3

y = −3x + 4

2−2

y

Ox

2

5.

{ y = 4x − 3

y = 8x − 5

2−2

y

Ox

2

6.

{ y = −3x + 7

x − 2y = −6

2−2

y

Ox

2

7. Can there be more than one point of intersection between the graphs of two linear equations? Explain.

8. Elena and Marcus jog after school each day. One day, Elena and Marcus jogged a total of 15 miles. Elena jogged 1 mile more than Marcus. Use a graph to find the number of miles each person jogged.

4 8 12 16

y

Ox

4

8

12

16

enVision™ Algebra 1 • Teaching Resources


4-2 Additional PracticeSolving Systems of Equations by Substitution

Use substitution to solve each system of equations.

1.

{ y = –x + 4

y = 3x

2.

{ y = 2x – 10

2y = x – 8

3.

{ x – 2y = 12

y = 3x + 14

4.

{ x = 2y – 6

y = 3x – 7

5.

{ 6x – 4y = 18

–x – 6y = 7

6.

{ 9x – 3y = 9

3x – y = 3

7.

{ y = 3x + 8

2y = 6x + 16

8.

{ y = 4x + 5

12x – 3y = 9

9.

{ 7y = –2x + 5

3x + 10y = 6

10. Solve the system { x + y = 6

5x − y = 3

by graphing and by substitution. Compare the methods. Which method is more accurate? Explain.

11. A community theater sold a total of 400 full-price tickets for adults and children. The price was $8.00 per adult ticket and $5.00 per children’s ticket. If the total revenue was $2,750, how many adult tickets and how many children’s tickets were sold?



4-3 Additional PracticeSolving Systems of Equations by Elimination

Use elimination to solve each system of equations.

1.

{ x + y = 7

x − y = −3

2.

{ x − 2y = 10

3x + y = −12

3.

{ 5x + 3y = 12

x − 4y = 7

4.

{ 6x + 2y = −12

4x + 3y = 7

5.

{ 4x − 6y = 26

5x − 4y = 8

6.

{ 5x + 3y = 13

7x + 8y = −16

Which solution method, graphing, substitution, or elimination, is the most appropriate for solving each system of equations? Explain.

7.

{ 3x + 8y = −4

2x − 4y = 16

8.

{ 6x − y = 16

x = 4y − 5

9.

{ x + y = 19

3x − 2y = −3

10. Determine whether the first system of equations is equivalent to the second system of equations. Explain.

{ 3x + 5y = 1

2x − 6y = 38

{ 18x + 30y = 6

10x − 30y = 190

11. The cost of 2 bottles of water and 4 apples is $5.50. The cost of 3 bottles of water and 5 apples is $7.50. Find the cost of one apple and the cost of one bottle of water.



4-4 Additional PracticeLinear Inequalities in Two Variables

Graph the inequality in the coordinate plane.

1. y < x 2. y ≤ 3x −6 3. x − 2y > −4

4. Explain the process of graphing a linear inequality in two variables. Discuss how to determine whether the boundary line is solid or dashed.

5. Tickets to a play cost $10 at the door and $8 in advance. The theatre club wants to raise at least $800 from the sale of the tickets from the play. Write and graph an inequality for the number of tickets the theatre club needs to sell. If the club sells 40 tickets in advance, how many does it need to sell at the door to reach its goal? Use x to represent the number of tickets sold at the door. Use y to represent the number of tickets sold in advance.

2 4−2−4

y

Ox

−2

2

4

−4

y

604020

0

80100120140160180200

x400 80 120 160 200

2 4−2−4

y

Ox

−2

−4

−6

−8

4 8−4−8

y

Ox

−4

4

8

−8



4-5 Additional PracticeSystems of Linear Inequalities

Graph each system of inequalities. Shade the solution of each system.

1.

{ y ≤ 2x − 1

y > −x + 3

2.

{ 3x − 2y < 4

−2x − 6y < −12

3.

{ 2x + 2y ≥ −6

x + y ≤ −1

The solution of what system of inequalities is shown by each graph?

4. 5. 6.

7. How do the solutions of a system of linear equations appear on a graph? Explain.

8. Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation. What does the graph show?

4 8−4−8

y

Ox

−4

4

8

−8

4 8−4−8

y

Ox

−4

4

8

−8

4 8−4−8

y

Ox

−4

4

8

−8

4 8−4−8

y

Ox

−4

4

8

−8

4 8−4−8

y

Ox

−4

4

8

−8

4 8−4−8

y

Ox

−4

4

8

−8

y

6420

8101214161820

x60 12 18 24 30

Nu

t B

read

Banana BreadenVision™ Algebra 1 • Teaching Resources



Selected Response

1. What is the solution to the following system of equations?

5y − 3x = 14 y + 3x = 10

𝖠 (2, 4)

𝖡 (4, 2)

𝖢 (−2, −4)

𝖣 (2, −4)


2. Solve the following system of equations by using elimination. Show your work.

x + 4y = 6 3x − 4y = 14

Extended Response

3. Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is $7. The cost of an evening show is $12. Alejandro went to see a total of 6 movies and spent $52. Let x represent the number of matinee movies attended and y represent the number of evening show movies attended.

a. How many of each type of movie did he attend? Write a system of equations and solve by graphing.

b. Why is the intersection of the graphs of the linear equations the solution?

y

2

4

6

Ox

2 4 6




Selected Response

1. Which ordered pair is NOT a solution of y > 5x + 3?

𝖠 (2, 14)

𝖡 (1, 8)

𝖢 (−1, 2)

𝖣 (0, 4)


2. Graph 4x + 2y > 8y

2

4

Ox

−2

−4

2 4−2−4

Extended Response

3. The Cougars scored a total of 84 points in their basketball game last night against the Bears. The Cougars made no one-point shots, and a total of 38 two-point and three-point shots. Let x represent the number of two-point shots and y represent the number of three-point shots.

a. How many two-point shots did the Cougars make? How many three-point shots did the Cougars make? Write and solve a system of equations that can be used to solve this problem.

b. Graph the system of equations. y

10

20

30

40

Ox

10 20 30 40



4 Topic Assessment Form A

1. Solve the system by graphing.

y = 1 __ 3 x + 2

y = −x − 2

solution:

2. Does the system of equations have no solution or infinitely many solutions?

2x + y = 2

y = −2x − 1

3. Estimate the solution of the system of equations.

y

2 4O x

2

4

6

solution:

4. Aaron starts walking at a rate of 3 mi/h on a road toward a store 10 mi away. Zhang leaves the store when Aaron starts walking, and he walks toward Aaron along the same road at 2 mi/h. How many hours will pass before they meet?

𝖠 1.5 h 𝖢 2 h

𝖡 10 h 𝖣 3 h

5. What is the solution of the system of equations?

y = 1 __ 8 x − 1

−5x + 4y = −13


y = 1 __ 3 x + 2

−x + 3y = 6

7. Henry sells rings for $8 each. His expenses are $1.50 per ring, plus $91 for supplies. How many rings does he need to sell for his revenue to equal his expenses?

𝖠 140 𝖡 9 𝖢 10 𝖣 14


5x − 4y = −10

3x + 2y = 16

9. Which system has the same solution as the system of equations shown?

8x + 3y = 5

4x + 2y = 3

𝖠 8x + 3y = 5 𝖢 16x + 6y = 5 −8x + 4y = 6 12x − 6y = 9

𝖡 8x + 3y = 5 𝖣 8x + 3y = 5 −8x − 4y = −6 8x + 4y = 3


5x + 2y = 64x − 8y = 0


11. The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?

𝖠 $5.30 𝖢 $4.50

𝖡 $3.50 𝖣 $6.50

12. Graph the inequality y < −2x + 4.

13. Which inequality does the graph represent?

y

−4

−2−4 Ox

𝖠 y < −x − 3 𝖢 y ≤ −x − 3

𝖡 y > −x − 3 𝖣 y ≥ −x − 3

14. In the graph of an inequality, the area above a solid line through the points (−5, 2) and (3, 2) is shaded. Which inequality does this graph represent?

𝖠 y ≥ 2 𝖢 y < 2

𝖡 y ≤ 2 𝖣 x > 2

15. In the graph of an inequality, the region to the left of a dashed vertical line through the point (−3, 0) is shaded. What inequality does the graph represent?

16. Graph the system of inequalities.

−x + y ≤ −1

x + 2y ≥ 4

17. What system of inequalities is shown in the graph?

y

−2

Ox

2 4

2

𝖠 x < −1 and y > 2x + 3

𝖡 x < −1 and y > 3x + 2

𝖢 x ≤ −1 and y ≤ −0.4x + 2

𝖣 x ≤ −1 and y ≤ −2x + 2

18. At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the ticket price for one adult and for one child?

adult: child:

19. The owner of the theater in Item 18 wants to make at least $300 when a movie is shown. Let x be the number of adult tickets and y be the number of child tickets sold. Write an inequality to show the number of tickets that need to be sold.


Name ________________________________________________________________


4 Performance Assessment Form A

Paula is the student council member responsible for planning an outdoor student dinner dance. Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food.

1. Band A charges $600 to play for the evening. Band B charges $350 plus $1.25 per student.

Part A

Write a system of equations to represent the costs of the two bands.

Part B

Graph the system of equations and find the number of students for which the costs for both bands would be equal.

2. A caterer charges a fixed amount for preparing a dinner plus a rate per student served. The total cost is modeled by this equation:

total cost = fixed amount + rate · number of students

Paula knows that the total cost for 100 students will be $750, and the total cost for 150 students will be $1,050. Find the caterer’s fixed cost and the rate per student served. Explain.


3. Use the information you found in Items 1 and 2. Assume that 200 students attend the dance. Decide which band Paula should choose and what the cost per ticket should be so that the expenses for the dance are covered. Then repeat your calculations for 300 students. Explain.

4. Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide- angle photos cost $50 each.

Part A

Write and graph an inequality that represents the number of each type of photo that Paula can buy.

Part B

Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford? Explain.

slps continuous learning april 27 may 8

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