Solving Inequalities unit 1 day 6

SOLVING INEQUALITIES KEY CONTENT: I can solve a real-life problem by writing and solving an appropriate linear equation and inequality.

Guided practice u1a6 Example 1

Guided practice u1a6 Example 1 5

individual practice u1a6 Example 2

individual practice u1a6 Example 2 9

Guided practice u1a6 Example 3

Guided practice u1a6 Example 3 -2

individual practice u1a6 Example 4

individual practice u1a6 Example 4

Guided practice u1a6 Example 5

Guided practice u1a6 Example 5

individual practice u1a6 Example 6

individual practice u1a6 Example 6

Guided practice u1a6 Example 7 Write an inequality for each problem. Then solve. Nine less than the product of two and a number is greater than thirty-one. The quotient of four times a number and seven is at least eight. One fourth of the sum of three times a number and twelve is greater than one fifth the sum of that number and ten.

Guided practice u1a6 Example 7A Nine less than the product of two and a number is greater than thirty-one.

Guided practice u1a6 Example 7B The quotient of four times a number and seven is at least eight.

Guided practice u1a6 Example 7C One fourth of the sum of three times a number and twelve is greater than one fifth the sum of a that number and ten.

Guided practice u1a6 Example 8 Karen is selling candles to raise money for the H.T.I.N Club. Her club earns 5% for every candle that is sold, plus an additional $20 from the candle company for every student in the club who participates in the fundraiser. If the average amount of money a customer spends on purchasing a candle is $16, how many candles must she sell to be able to contribute more than $100 to this fundraising event.

Guided practice u1a6 Example 8 Karen must sell more than 100 candles to contribute more than $100 to the fundraiser.

Independent practice u1a6 Example 9 Ms. Kaufman is taking her history class on a field trip to a museum. The school has provided her with $572.00 to spend on the trip. There are 52 students that will go to the museum. The museum charges $5 per student, and Ms. Kaufman gets in for free. If the students will have slices of pizza for lunch that cost $2 each, how many slices can each student have?

Independent practice u1a6 Example 9

Guided practice u1a6 Example 10 In gymnastics competition, an athlete’s final score is calculated by taking 75% of the average technical score and adding 25% of the artistic score. All scores are out of 10. One gymnast has a 7.6 average technical score. What artistic score does the gymnast need to have a final score of at least 8.0?

Guided practice u1a6 Example 10 In gymnastics competition, an athlete’s final score is calculated by taking 75% of the average technical score and adding 25% of the artistic score. All scores are out of 10. One gymnast has a 7.6 average technical score. What artistic score does the gymnast need to have a final score of at least 8.0? A gymnastic needs an artistic score of a 9.2 to receive a final score of at least an 8.0.

Guided practice u1a6 Example 11 Between 8.5% and 9.4% of Phoenix’s population reported using public transportation on a regular basis during 2015. In 2015, the city’s population was estimated to be 1,563,025. Which mathematical inequality represents how many people use the transit system daily?

Guided practice u1a6 Example 11 Between 8.5% and 9.4% of Phoenix’s population reported using public transportation on a regular basis during 2015. In 2015, the city’s population was estimated to be 1,563,025. Which mathematical inequality represents how many people use the transit system daily?

Guided practice u1a6 Example 11 Between 8.5% and 9.4% of Phoenix’s population reported using public transportation on a regular basis during 2015. In 2015, the city’s population was estimated to be 1,563,025. Which mathematical inequality represents how many people use the transit system daily?

Independent practice u1a6 Example 12 Write an inequality that represents each sentence. Rachel’s hair is at least as long as Julia’s hair. The wind speeds of tropical storms are at least 40 miles per hour, but less than 74 miles per hour.

Independent practice u1a6 Example 12 Write an inequality that represents each sentence. Rachel’s hair is at least as long as Julia’s hair. The wind speeds of tropical storms are at least 40 miles per hour, but less than 74 miles per hour.

Guided practice u1a6 Example 13 Solve the problem and write an inequality. The length of a picture frame is three inches greater than the width of the picture frame. The perimeter is less than fifty- two inches. Describe the dimensions of the frame.

Guided practice u1a6 Example 13 Solve the problem and write an inequality. The length of a picture frame is three inches greater than the width of the picture frame. The perimeter is less than fifty-two inches. Describe the dimensions of the frame. The width is less than 11.5 inches and the length is 3 inches greater than the width.

Independent practice u1a6 Example 14 Solve the problem and write an inequality. The lengths of the sides of a triangle are in the ratio 5 : 6 : 7. Describe the length of the longest side if the perimeter is less than 54 centimeters.

Independent practice u1a6 Example 14 Solve the problem and write an inequality. The lengths of the sides of a triangle are in the ratio 5 : 6 : 7. Describe the length of the longest side if the perimeter is less than 54 centimeters. Longest Side The longest side is less than the 21 centimeters.

Independent practice u1a6 Example 15 Usian Bolt, the most decorated sprinter of all time, recorded the following race times, in seconds, in the100 meter dash during the summer of 2015. 9.78, 9.84, 9.71 What is the highest time he can record at the next race and still achieve an average time of at most 9.77?

Independent practice u1a6 Example 15 Usian Bolt, the most decorated sprinter of all time, recorded the following race times, in seconds, in the100 meter dash during the summer of 2015. 9.78, 9.84, 9.71 What is the highest time he can record at the next race and still achieve an average time of at most 9.77? The highest time Usian Bolt could record at the next race is 9.75 seconds to achieve an average time of at most 9.77 seconds over the course of the four races.