7.7 Solving Inequalities Using Multiplication or Division For use with Activity 7.7 Essential Question How can...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
7.7 Solving Inequalities Using Multiplication or Division For use with Activity 7.7 Essential Question How can you use multiplication or division to solve an inequality? 2 1 ACTIVITY: Writing an Inequality Work with a partner. A store has a clearance rack of shirts that each cost * the same amount. You buy 2 shirts and have money left after paying with a $20 bill. a. Which of the following represents your purchase? What does x represent? Explain your reasoning. 2x < 20 2x > 20 b. Graph the possible values of x on a number line. Explain how you decided what to graph. 2x ≤ 20 c. Can you buy a third shirt? Explain your reasoning. 114 2x 2 20 ACTIVITY: Writing an Inequality Work with a partner. One of your favorite stores is having a 75% off sale. You have $20. You want to buy a pair of jeans. a. Which of the following represents your ability to buy the jeans with $20? What does x represent? Explain your reasoning. x < 20 -x > 20 4 -xs 20 4 -x220 7.7 3 Solving Inequalities Using Multiplication or Division (continued) b. Graph the possible values of x on a number line. Explain how you decided what to graph. c. Can you afford a pair of jeans that originally costs $100? Explain your reasoning. ACTIVITY: Solving Inequalities Work with a partner. Complete the following steps for Activity 1. Then repeat the steps for Activity 2. . Use your inequality from part (a). Replace the inequality symbol with an equal sign. Solve the equation. • Replace the equal sign with the original inequality symbol. Graph this new inequality. • Compare the graph with your graph in part (b). What do you notice? ACTIVITY: Matching Inequalities Work with a partner. Match the inequality with its graph. a. 3x < 9 b. 3x ≤ 9 d. 6 < 2x A. B. ++ C. A -8 D. ++ F. -8 -8 E. ++ -8 -8 -6 -6 -6 -4 -4 -4 e. 12 ≤ 4x -2 -2 -2 -2 0 0 0 0 + 2 2 2 2 2 2 4 4 4 4 C. c. 21 f. 6 6 6 XIN 2 6 < 2 8 8 8 8 8 What Is Your Answer? 5. IN YOUR OWN WORDS How can you use multiplication or division to solve an inequality? Name Practice 7.7 For use after Lesson 7.7 Solve the inequality. Graph the solution. 1. 12q2 36 2. > 6 Graph the numbers that are solutions to both inequalities. 3. 6a ≤ 42 and a + 4 > 7 Big Ideas Math Advanced 1 4. d-8≤2 and 9d < 81 5. Each table in a banquet room seats 8 people. The room can seat no more than 360 people. Write and solve an inequality to represent the number of tables in the banquet room. 7.7 Solving Inequalities Using Multiplication or Division For use with Activity 7.7 Essential Question How can you use multiplication or division to solve an inequality? 2 1 ACTIVITY: Writing an Inequality Work with a partner. A store has a clearance rack of shirts that each cost * the same amount. You buy 2 shirts and have money left after paying with a $20 bill. a. Which of the following represents your purchase? What does x represent? Explain your reasoning. 2x < 20 2x > 20 b. Graph the possible values of x on a number line. Explain how you decided what to graph. 2x ≤ 20 c. Can you buy a third shirt? Explain your reasoning. 114 2x 2 20 ACTIVITY: Writing an Inequality Work with a partner. One of your favorite stores is having a 75% off sale. You have $20. You want to buy a pair of jeans. a. Which of the following represents your ability to buy the jeans with $20? What does x represent? Explain your reasoning. x < 20 -x > 20 4 -xs 20 4 -x220 7.7 3 Solving Inequalities Using Multiplication or Division (continued) b. Graph the possible values of x on a number line. Explain how you decided what to graph. c. Can you afford a pair of jeans that originally costs $100? Explain your reasoning. ACTIVITY: Solving Inequalities Work with a partner. Complete the following steps for Activity 1. Then repeat the steps for Activity 2. . Use your inequality from part (a). Replace the inequality symbol with an equal sign. Solve the equation. • Replace the equal sign with the original inequality symbol. Graph this new inequality. • Compare the graph with your graph in part (b). What do you notice? ACTIVITY: Matching Inequalities Work with a partner. Match the inequality with its graph. a. 3x < 9 b. 3x ≤ 9 d. 6 < 2x A. B. ++ C. A -8 D. ++ F. -8 -8 E. ++ -8 -8 -6 -6 -6 -4 -4 -4 e. 12 ≤ 4x -2 -2 -2 -2 0 0 0 0 + 2 2 2 2 2 2 4 4 4 4 C. c. 21 f. 6 6 6 XIN 2 6 < 2 8 8 8 8 8 What Is Your Answer? 5. IN YOUR OWN WORDS How can you use multiplication or division to solve an inequality? Name Practice 7.7 For use after Lesson 7.7 Solve the inequality. Graph the solution. 1. 12q2 36 2. > 6 Graph the numbers that are solutions to both inequalities. 3. 6a ≤ 42 and a + 4 > 7 Big Ideas Math Advanced 1 4. d-8≤2 and 9d < 81 5. Each table in a banquet room seats 8 people. The room can seat no more than 360 people. Write and solve an inequality to represent the number of tables in the banquet room.
Expert Answer:
Answer rating: 100% (QA)
Answers Activity 1 a The answer is the first option which is 2x 20 x represents the cost of one shirt It is given that the two shirts which we bought ... View the full answer
Related Book For
Systems analysis and design
ISBN: ?978-1118808177
5th edition
Authors: Alan Dennis, Barbara Haley Wixom, Roberta m. Roth
Posted Date:
Students also viewed these mathematics questions
-
How can you minimize or control changes to project schedules?
-
How can you make a DFD easier to understand?
-
can you please show me how to solve this problem using the (source transformation) method instead of superposition? 4.16 Given the circuit in Fig. 4.84, use superposition to get i,. ps 2 A 3 2 12 v...
-
What is your perspective on changes in cultural ideals for the female body from that of Marilyn Monroe in the 1950s to top models today?
-
Briefly describes the purposes of the following control procedures and how each works: (1) financial total, (2) hash total and (3) record count.
-
You purchase a rectangular piece of metal that has dimensions 5.0 15.0 30.0 mm and mass 0.0158 kg. The seller tells you that the metal is gold. To check this, you compute the average density of the...
-
Your business uses the allowance method to account for uncollectible receivables. At the beginning of the year, Allowance for Uncollectible Accounts had a credit balance of \($1,100.\) During the...
-
On January 1, 2016, Plymouth Corporation acquired 80 percent of the outstanding voting stock of Sander Company in exchange for $1,200,000 cash. At that time, although Sander's book value was...
-
H6 A > V X xv fx B C D E Cell Styles Styles F G H 1 On January 15, 2024, Delta Company paid property taxes on its factory building for the calendar year 2024 in the 2 amount of $1,080,000. In the...
-
Using exponential smoothing, calculate the forecasts for the same months as in problem 8.3c. The old average for month 3 was 96 and = 0.4. What is the difference between the two forecasts for month...
-
Question 1 Provide three (3) examples of existing and emerging technologies that assist organisations with knowledge and information management. Describe for each example what kind of information...
-
Ana has started her own company, Imprint Shirts, which makes Custom Embroidered Logo polo shirts for special orders. Since she has just begun this operation, she rents the equipment from a local shop...
-
Dr Jannie Chan Siew Lee is the founder of the Asia-Pacific-based watch retailer The Hour Glass. The business was created in 1979, and Jannie served as the company's managing director from...
-
By the Ten Faces of Innovation, evaluate the extent which your organization is characterized by ongoing innovation and improvement. In what ways or areas is your organization innovative? In which...
-
Solve the equation and check your solution. 12 + x -3 5x - 22 5 +4
-
Calculate the future worth (in year 11) of the following income and expenses, if the interest rate is 6% per year. Year Income per year Expense per year 0 $12,000 $0 1 to 6 $800 $2,000 7 to 10 $900...
-
make a balance sheet for accounts and balances Invest $40,000 in your own business Borrow an additional $60,000 for five years to invest in the business. Buy office equipment for cash: $25,000...
-
Determine by direct integration the values of x for the two volumes obtained by passing a vertical cutting plane through the given shape of Fig. 5.21. The cutting plane is parallel to the base of the...
-
What is the most popular kind of database today? Provide three examples of products that are based on this technology.
-
Define what is meant by an attribute in a data model. How should an attribute be named? What information about an attribute should be stored in the CASE repository?
-
Compare and contrast batch processing and online processing. Describe one application that would use batch processing and one that would use online processing.
-
What is predictive analytics?
-
What are the two biggest challenges associated with using big data?
-
How does data science software for programmers differ from data science software for business users?
Study smarter with the SolutionInn App