1. PRE-ALGEBRA

2. Lesson 2-7 Warm-Up

3. PRE-ALGEBRA Reasoning Strategy: Try, Test, Revise (2-7) Sometimes, it might be necessary to try a conjecture, test your conjecture, and if it isn’t correct, use what you learned to make a better conjecture the next time. Example: The drama club put on a play. For the first performance, the club sold 133 tickets and raised $471. Tickets cost $4 for adults and $3 for students. How many student and adult tickets did the club sell? The drama club sold 72 adult and 61 student. Example: Steven has $2.30 all in quarters and nickels. He has four more nickels than quarters. How many nickels and quarters does Steven have? Steven has11 nickels and 7 quarters. Adult TicketsStudent TicketsTotal $ 60133 – 60 = 7360 ($4) + 73($3) = $240 + $219 = $459 (too low) 80133 – 80 = 5380 ($4) + 53($3) = $320 + $159 = $479 (too high) 70133 – 70 = 6370 ($4) + 63($3) = $280 + $189 = $469 (a little too low) 72133 – 72 = 6172 ($4) + 61($3) = $288 + $183 = $471 (correct) NickelsQuartersTotal $ 141014 ($0.05)+ 10 ($0.25) =$0.70 + $2.50 = $3.20 (too high) 959($0.05) + 5($0.25)= $0.45 + $1.25 = $1.70 (too low) 12812($0.05) + 8 ($0.25) = $0.60 + $2.00 = $2.60 (a little high) 11711($0.05) + 7 ($0.25) = $0.55 + $1.75 = $2.30 (correct) How do you use the “try, test, and revise” strategy?

4. PRE-ALGEBRA During the intermission of the play, the Theater Club sold cups of popcorn and soda. The club sold 79 cups of popcorn and 96 sodas for a total of $271. What was the selling price of a cup of popcorn? Of a soda? You can organize conjectures in a table. As a first conjecture, try both with a price of $1. Reasoning Strategy: Try, Test, Revise LESSON 2-7 Additional Examples

5. PRE-ALGEBRA (continued) PopcornSoda PricePriceTotal Price $1$179(1) + 96(1) = 79 + 96The total is too low. Increase = 175 the price of the popcorn only. $2$179(2) + 96(1) = 158 + 96 The total is too low. = 254 Increase the price of the soda. $2$279(2) + 96(2) = 158 + 192The total is too high. = 350Decrease the price of the popcorn. $1$279(1) + 96(2) = 79 + 192The total is correct. = 271 The popcorn price was $1, and the soda price was $2. Reasoning Strategy: Try, Test, Revise LESSON 2-7 Additional Examples

6. PRE-ALGEBRA Solve using any strategy. 1.A sporting goods store manager ordered twice as many pairs of basketball shoes as tennis shoes. He ordered 96 pairs in all. How many pairs of each did he order? 2.Manuel wrote a 512-word paper over the weekend. He wrote 180 more words on Sunday than he did on Saturday. How many words did he write on Saturday? 166 32 pairs of tennis shoes; 64 pairs of basketball shoes Lesson Quiz Reasoning Strategy: Try, Test, Revise LESSON 2-7