Over Lesson 2–5 5-Minute Check 1 Express the statement using an equation involving absolute value. Do not solve. The fastest and slowest recorded speeds.

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Presentation transcript:

Over Lesson 2–5 5-Minute Check 1 Express the statement using an equation involving absolute value. Do not solve. The fastest and slowest recorded speeds of a speedometer varied 3 miles per hour from the actual speed of 25 miles per hour.

Over Lesson 2–5 5-Minute Check 2 Solve |p + 3| = 5. Then check your solution set.

Over Lesson 2–5 5-Minute Check 3 Solve | j – 2| = 4. Then check your solution set.

Over Lesson 2–5 5-Minute Check 4 Solve |2k + 1| = 7. Then check your solution set.

Over Lesson 2–5 5-Minute Check 6 Solve |x + 8| = 13.

TEKS Targeted TEKS Reinforcement of 7.4(D) Solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems. Mathematical Processes A.1(A), A.1(F)

LESSON 2–6 Ratios and Proportions

Vocabulary ratio proportion means extremes rate unit rate scale scale model

Example 1

Concept

Example 2 Cross Products A. Use cross products to determine whether the pair of ratios below forms a proportion.

Example 2 Cross Products B. Use cross products to determine whether the pair of ratios below forms a proportion.

Example 2A A. Use cross products to determine whether the pair of ratios below forms a proportion.

Example 2B B. Use cross products to determine whether the pair of ratios below forms a proportion.

Example 3 Solve a Proportion A.

Example 3 Solve a Proportion B.

Example 3A A.

Example 3B B.

Example 4 Rate of Growth BICYCLING The ratio of a gear on a bicycle is 8:5. This means that for every 8 turns of the pedals, the wheel turns 5 times. Suppose the bicycle wheel turns about 2435 times during a trip. How many times would you have to crank the pedals during the trip?

Example 4 BICYCLING Trent goes on 30-mile bike ride every Saturday. He rides the distance in 4 hours. At this rate, how far can he ride in 6 hours?

Example 5 Scale and Scale Models MAPS In a road atlas, the scale for the map of Connecticut is 5 inches = 41 miles. What is the distance in miles represented by 2 inches on the map?

Example 5

LESSON 2–6 Ratios and Proportions