Topic 4 Notes Mrs Daniel Algebra 1 Table
Topic 4 Notes Mrs. Daniel- Algebra 1
Table of Contents • Lesson 7. 1: Modeling Linear Relationships • Lesson 7. 3: Linear Inequalities in 2 Variables
Lesson 7. 1: Modeling Linear Relationships Essential Question: How can you model linear relationships given limited information?
Let’s Practice… 1. The Band Booster Club is selling t-shirts and blanket wraps to raise money for a trip. The band director has asked the club to raise at least $1000. The booster club president wants to know how many t-shirts and how many blanket wraps the club needs to sell to meet their goal of $1000. The t-shirts cost $10 each and the blanket wraps cost $25 each. Write and graph a linear equation that describes the situation.
Let’s Practice…
2. Which of the ordered pairs is a solution of the following equation?
4. What is the approximate value of n? A. -13. 5 B. -1 C. 4. 5 D. 7
5.
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8.
Let’s Practice…. 9. A computer store sells both tablets and laptops. One brand of tablet costs $200. The same brand of laptop costs $400. The store manager wants to sell enough of this brand of tablets and laptops to reach the sales goal of $20, 000. a. Write and graph an equation that models the above situation.
9. (continued)
Lesson 7. 3: Linear Inequalities in Two Variables Essential Question: How do you write linear inequalities in two variables?
Graphing Linear Inequalities •
Shading
Write the Inequality Represented by the Graph… 4. 5.
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8. Elijah can spend at most $8. 25 on snacks for a party. Carrots cost $2 and grapes cost $0. 75. Write and graph a linear inequality to describe the situation.
9. Ramona has $18 that she can spend on food for her dog. Dry food cost $5. 50 per small bag and wet dog food costs $2 per can. Write a linear inequality that describes how many bags and cans of dog food Ramona can buy.
10. A local bicycle shop makes $75 on each Model A bike and $90 on each Model B bike. The overhead costs for making the bikes are $1, 350. Write an inequality to show many of each bike model must be sold so the company avoids losing money.
4. (7. 1 HW) Mr. Malone can heat his house in the winter by burning three cords of wood, by using natural gas, or by a combination of the two. His heating budget for the winter is $600. a. Write a linear equation that describes the problem. b. Graph the linear equation and label both axes. c. If Mr. Malone spends $275 on natural gas, about how many cords of wood will he need?
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