1. Use with Lesson 4 MAFS.8.EE.3.7 Course 3, Lesson 2-4 Mathematics Florida Standards – Mathematics, numbering and wording from www.cpalms.org. Use the work backward strategy to solve Exercises 1-3. 1. Alicia arrived home at 7:45 P.M. from a restaurant. She spent 45 minutes waiting in the restaurant lobby and one and a half hours eating dinner. If it took her 20 minutes to drive home, what time did she arrive at the restaurant? 2. Marcus has $6 left over after his trip to the movie theater. If his movie ticket cost $5.50 and he purchased a drink for $3.00, and a bag of popcorn for $3.50, and a box of candy for $2.00, how much money did he originally take to the movie theater? 3. Candace’s quiz scores are 86, 98, 85, 94, and 89. What is the minimum score she can make on her next quiz to maintain a quiz average of at least 90? 4. At nine months of age, a baby elephant can weigh 700 pounds. If this is 4 times the baby elephant’s birth weight, how many pounds did the elephant weigh at birth?

2. ANSWERS 1. 5:10 P.M. 2. $20 3. 88 4. 175 pounds Course 3, Lesson 2-4 Mathematics Florida Standards – Mathematics, numbering and wording from www.cpalms.org. Use with Lesson 4 MAFS.8.EE.3.7

3. WHAT is equivalence? Course 3, Lesson 2-4

4. MAFS.8.EE.3.7 Solve linear equations in one variable. MAFS.8.EE.3.7a Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). MAFS.8.EE.3.7b Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Course 3, Lesson 2-4 Mathematics Florida Standards – Mathematics, numbering and wording from www.cpalms.org.

5. Mathematical Practices MP1 Make sense of problems and persevere in solving them. MP3 Construct viable arguments and critique the reasoning of others. MP4 Model with mathematics. Course 3, Lesson 2-4 Mathematics Florida Standards – Mathematics, numbering and wording from www.cpalms.org.

6. To solve equations with variables on both sides rational coefficients Course 3, Lesson 2-4

7. WHAT is equivalence?

8. Sample answers: When variables are on both sides of the equation, use the properties of equality to write an equivalent equation with the variables on one side. You can check the solution to an equation by replacing the variable with the solution in the original equation. Course 3, Lesson 2-4 WHAT is equivalence?

9. Name the procedures you would use to solve an equation with variable terms on both sides such as 3x + 5 = 6x + 2. Course 3, Lesson 2-4