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Algebra I – Unit 4 “Systems of Equations” Date 12/11/14 (A Day)

12/12/14 (B Day) 12/15/14 (A Day)

12/16/14 (B Day) 12/17/14 (A Day) 12/18/14 (B Day)

Due Today  

1/6/15 (B Day) 1/7/15 (A Day)

Unit 4.1 Notes

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Bellwork Unit 4 #2

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1/12/15 (B Day)

1/13/15 (A Day) 1/14/15 (B Day)

Practice Quiz 4.1-4.2

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Bellwork Unit 4 #3

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Quiz 4.1-4.2

Begin Midterm Review

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Bellwork Unit 4 #4

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Unit 4.4 Notes

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Continue Midterm Review

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Unit 4.3 and 4.4 Review Worksheets

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Bellwork Unit 4 #5

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Unit 4.5 Notes

1.

Linear Inequalities Review

2. HW 4.1 and Notes 4.1

3. HW 4.2 and Notes 4.2 4. Practice Quiz 4.1-4.2

5. HW 4.3 and Notes 4.3

6. HW 4.4 and Notes 4.4

7.

Unit 4.3 and 4.4 Review

HW 4.5 and Notes 4.5

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Continue Midterm Review

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Bellwork Unit 4 #6

8.

Submit Midterm Review

10. Unit 4 Bellwork Packet

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1/16/15 (B Day)

Unit 4.3 Notes

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 1/15/15 (A Day)

Unit 4.2 Notes

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1/8/15 (B Day)

1/9/15 (A Day)

Bellwork Unit 4 #1

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 12/19/14 (A Day)

Pick up new homework packet

Unit 4.6 Notes

Begin Unit 4 Take Home Test Last Day of Second Quarter –

Make Sure all work is submitted!

9. Midterm Review

11. HW 4.6 and Notes 4.6

Algebra 1 Homework 4.1 Graph the following systems of equations and find the intersections. State whether each system has one solution, no solutions, or infinitely many solutions. 1

𝑦 = −4𝑥 + 3 1. { 3 𝑦 = 2𝑥 − 4

7

𝑦 = 3𝑥 − 3 4. { 𝑦=4

3

𝑦 = 4𝑥 + 3 2. { 𝑦 = 3𝑥 − 6

5. {

1

𝑦 = 3𝑥 + 2 3. { 𝑥 − 3𝑦 = 9

6. {

𝑦 =𝑥+1 3

𝑦 = 5𝑥 − 1

𝑦 = 2𝑥 − 3 6𝑥 − 3𝑦 = 9

Homework 4.2 Graph the following systems of linear inequalities. Then tell whether the following points are solutions of each system: a) (-1, 1) b) (2,5) c) (-3, -4) d) (3, -5) e) (0, 0) 1

1. {

𝑦 ≤ −6𝑥 + 2

2. {

𝑦 > −2𝑥 + 1 𝑦 ≤ −2𝑥 + 4

𝑦 >𝑥−5

1

a) ______ b) ______ c) ______ d) ______ e) ______

4. {

a) ______ b) ______ c) ______ d) ______ e) ______

5. {

a) ______ b) ______ c) ______ d) ______ e) ______

6. {

1

𝑦 > −3 3. { 𝑥≤2

𝑦 ≥ 3𝑥 − 2 𝑦 > −2𝑥 + 5

a) ______ b) ______ c) ______ d) ______ e) ______

2𝑥 − 5𝑦 > 15 2

𝑦 > 5𝑥 + 1

𝑦≤3 3𝑥 − 2𝑦 < 8

a) ______ b) ______ c) ______ d) ______ e) ______

a) ______ b) ______ c) ______ d) ______ e) ______

Homework 4.3 Solve the following systems of equations using the “Substitution Method”. Then tell whether your system is independent, dependent, or inconsistent. Leave answers as simplified fractions and mixed numbers (No Decimals!). 1

1. {

𝑥 = −2𝑦 + 2 3𝑥 + 4𝑦 = −4

2. {

3. {

𝑥 = 2𝑦 − 3 4𝑥 − 5𝑦 = −3

4. {

5. {

𝑥 + 2𝑦 = 2 7𝑥 − 3𝑦 = −20

6. {

2𝑥 − 𝑦 = 8 3𝑥 + 2𝑦 = 5

8. {

7. {

𝑦 = −2𝑥 + 9 7𝑥 + 4𝑦 = 24

−3𝑥 + 𝑦 = 2 4𝑥 − 5𝑦 = −6

2

𝑦 = 5𝑥 + 2 2𝑥 − 5𝑦 = 15

5𝑥 − 4𝑦 = 4 5

𝑦 = 4𝑥 − 1

9. Selling ice cream cones at a fair, you make $565 and use 250 cones. A single-scoop cone costs $2 and a double-scoop cone costs $2.50. How many of each type of cone did you sell? 10. You want to burn 380 Calories during 40 minutes of exercise. You burn about 8 Calories per minute inline skating and 12 Calories per minute swimming. How long should you spend doing each activity?

Solve the following systems of equations using the “Elimination/Combination” Method. Then tell whether your system is independent, dependent, or inconsistent. Leave your answers as simplified fractions and mixed numbers. (No Decimals!) 1. {

3𝑥 + 2𝑦 = 6 −6𝑥 − 3𝑦 = −6

2. {

3𝑥 + 5𝑦 = −16 3𝑥 − 2𝑦 = −9

3. {

−6𝑥 + 5𝑦 = 4 7𝑥 − 10𝑦 = −8

4. {

21𝑥 − 8𝑦 = −1 9𝑥 + 5𝑦 = 8

5. {

𝑥 − 2𝑦 = 3 2𝑥 − 4𝑦 = 7

6. {

7𝑥 − 12𝑦 = −22 −5𝑥 + 8𝑦 = 14

7. {

12𝑥 + 3𝑦 = 16 −36𝑥 − 9𝑦 = 32

8. {

5𝑥 − 2𝑦 = 6 −10𝑥 + 4𝑦 = −12

9. You are planning a party for 64 people and need to order food with only $150 to spend. You want to order from a catering company and see that a $39 pan of pasta feeds 14 people and a $12 sandwich tray feeds 6 people. How many pans of pasta and how many sandwich trays should you order?

10. Weights of atoms and molecules are measured in atomic units (u). A molecule of C2H6 (ethane) is made up of 2 carbon atoms and 6 hydrogen atoms and weighs 30.07 u. A molecule of C3H8 (propane) is made up of 3 carbon atoms and 8 hydrogen atoms and weights 44.097 u. Find the weights of one carbon atom and one hydrogen atom.

Classwork 4.5 Solve the following systems of three equations. 𝑥 + 2𝑦 + 5𝑧 = −1 1. { 2𝑥 − 𝑦 + 𝑧 = 2 3𝑥 + 4𝑦 − 4𝑧 = 14

5𝑥 − 4𝑦 + 4𝑧 = 18 2. { −𝑥 + 3𝑦 − 2𝑧 = 0 4𝑥 − 2𝑦 + 7𝑧 = 3

−5𝑥 + 3𝑦 + 𝑧 = −15 3. { 10𝑥 + 2𝑦 + 8𝑧 = 18 15𝑥 + 5𝑦 + 7𝑧 = 9

2𝑥 − 2𝑦 + 𝑧 = 3 4. { 5𝑦 − 𝑧 = −31 𝑥 + 3𝑦 + 2𝑧 = −21

5. Jeanette, Raj, and Henry go to a Chinese restaurant for lunch and order three different luncheon combination platters. Jeanette orders 2 portions of fried rice and 1 portion of chicken chow mein. Raj orders 1 portion of fried rice, 1 portion of chicken chow mein, and 1 portion of sautéed broccoli. Henry orders 1 portion of sautéed broccoli and 2 portions of chicken chow mein. Jeanette’s platter costs $5, Raj’s costs $5.25, and Henry’s costs $5.75. How much does 1 portion of chicken chow mein cost?

Classwork 4.6 1. MSA Ambassadors sell tickets to a school play. They charge one price for MSA students/staff and another price for everyone else. On the first night of the performance, there are 60 MSA students/staff and 42 non-students/staff and the Ambassadors earn a total of $649.50. On the second night, however, the Ambassadors earn $794.00 when 70 MSA students/staff buy tickets and 54 non-students/staff buy tickets. Find the selling price for the two different types of tickets.

2. To earn enough money for the school, MSA holds a cheesecake fundraiser in which both middle school and high school students are expected to sell cheesecakes. Middle school students are expected to sell a certain number of items (x) while high-schoolers are expected to sell 6 more than the middle school students. To make enough money for the year, Mr. Freshwater estimates that altogether, between the 312 middle school students and the 427 high school students, 8,400 items need to be sold. So approximately how many items will each middle school student and each high school student have to sell? (Note: your answers will need to be rounded to the nearest whole number).

3. You are given $200 to buy exactly ten things at the school store. You want to buy some new polo shirts which cost $17.50 and you want to buy some pullover hoodies which cost $28.00. How many of each should you buy for your $200? (Note: you will need whole number answers, you cannot buy half of a polo or three tenths of a sweatshirt, so round!).