1. Warm-Up Exercises Solve the equation. 2. (6x + 3) = 14 2 3 1. x = 25 5 6

2. Warm-Up Exercises 4. You buy three identical polyester film balloons and a birthday card. The card costs $3.95. Find the cost of each balloon if your total bill before tax was $33.80. Solve the equation. 3. – 7 = 12 g 5

3. Warm-Up Exercises Write a ratio EXAMPLE 1 VOLLEYBALL A volleyball team plays 14 home matches and 10 away matches. a. Find the ratio of home matches to away matches. b. Find the ratio of home matches to all matches.

4. Warm-Up Exercises EXAMPLE 1 Derek and his brother decide to combine their CD collections. Derek has 44 CDs, and his brother has 52 CDs. Find the specified ratio. 1. The number of Derek’s CDs to the number of his brother’s CDs. 2. The number of Derek’s CDs to the number of CDs in the entire collection. GUIDED PRACTICE for Example 1

5. Warm-Up Exercises Solve a proportion EXAMPLE 2 11 6 x 30 = Write original proportion. Multiply each side by 30. 330 6 = x Simplify. 55 = x Divide. 11 6 x 30 = x Solve the proportion 11 6 =.

6. Warm-Up Exercises EXAMPLE 2 Solve the proportion. Check your solution. GUIDED PRACTICE for Example 2 4 7 w 35 = 3.3.

7. Warm-Up Exercises EXAMPLE 2 Solve the proportion. Check your solution. GUIDED PRACTICE for Example 2 m 12 9 2 = 4.4.

8. Warm-Up Exercises EXAMPLE 2 Solve the proportion. Check your solution. GUIDED PRACTICE for Example 2 5 9 z 54 = 5.

9. Warm-Up Exercises

12. GUIDED PRACTICE for Example 3 When two full moons appear in the same month. The second full moon is called a blue moon. On average, 2 blue moons occur every 5 years. Find the number of blue moons that are likely to occur in the next 25 years. ASTRONOMY

13. Warm-Up Exercises ANSWER 9 Solve the proportion. ANSWER 14 1. = t 32 7 16 2. = 18 24 b 12

14. Warm-Up Exercises ANSWER 33 Solve the proportion. ANSWER 24 3. = 21 n 28 32 4. = 4 12 11 p

15. Warm-Up Exercises ANSWER 45 tomatillos 5. It takes 30 tomatillos to make 8 ounces of enchilada sauce. How many tomatillos does it take to make 12 ounces of enchilada sauce? Solve the proportion.

16. Warm-Up Exercises Use the cross products property EXAMPLE 1 Write original proportion. 8 15 = x 6 Solve the proportion =. 8 x 6 15 Cross products property Simplify. 120 = 6x Divide each side by 6. 20 = x The solution is 20. Check by substituting 20 for x in the original proportion. ANSWER = 8 x 6 15

17. Warm-Up Exercises Use the cross products property EXAMPLE 1 Substitute 20 for x. CHECK Cross products property Simplify. Solution checks. 8 20 6 15 = ? 8 15 = 20 6 ? 120 = 120

18. Warm-Up Exercises EXAMPLE 2 Standardized Test Practice What is the value of x in the proportion = ? 4 x 8 3x – A – 6 B – 3 C 3 D 6

19. Warm-Up Exercises EXAMPLE 2 GUIDED PRACTICE for Examples 1, 2, and 3 3 x = 2 x– 6 Solve the proportion. Check your solution.

20. Warm-Up Exercises EXAMPLE 2 GUIDED PRACTICE for Examples 1, 2, and 3 4 m 5 = m – 6 Solve the proportion. Check your solution.

21. Warm-Up Exercises Write and solve a proportion EXAMPLE 3 Each day, the seals at an aquarium are each fed 8 pounds of food for every 100 pounds of their body weight. A seal at the aquarium weighs 280 pounds. How much food should the seal be fed per day ? Seals

22. Warm-Up Exercises EXAMPLE 4 Use the scale on a map GUIDED PRACTICE for Example 4 The ship model kits sold at a hobby store have a scale of 1 ft : 600 ft. A completed model of the Queen Elizabeth II is 1.6 feet long. Estimate the actual length of the Queen Elizabeth II. Model ships