EE.5 - Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
warm-up
Complete all the problems below by substituting from the specified set. Once you have finished these 10 warm-up problems, compare your answers with your teammate.
1) 32 < y Which value for y would make the inequality true? (61,32,19,27)
2) 20 < y Which value for y would make the inequality false? (25,42,21,13)
3) 64 < y Which value for y would make the inequality false? (88,64,71,37)
4) Is c = 6 a solution to the inequality c < 9?
5) Is s = 8 a solution to the inequality s < 2?
6) Is h = 10 a solution to the inequality h < 12?
7) f > 24 Which value for f would make the inequality true? (9,13,8,30)
8) K > 18 Which value for K would make the inequality false? (33,7,21,19)
9) x > 41 Which value for x would make the inequality true? (16,31,0,48)
10) d > 35 Which value for d would make the inequality true? (21,44,32,14)
1) 32 < y Which value for y would make the inequality true? (61,32,19,27)
2) 20 < y Which value for y would make the inequality false? (25,42,21,13)
3) 64 < y Which value for y would make the inequality false? (88,64,71,37)
4) Is c = 6 a solution to the inequality c < 9?
5) Is s = 8 a solution to the inequality s < 2?
6) Is h = 10 a solution to the inequality h < 12?
7) f > 24 Which value for f would make the inequality true? (9,13,8,30)
8) K > 18 Which value for K would make the inequality false? (33,7,21,19)
9) x > 41 Which value for x would make the inequality true? (16,31,0,48)
10) d > 35 Which value for d would make the inequality true? (21,44,32,14)
mini lesson - independent work/share out/discussion
Write an equation or inequality for each problem and solve.
1) Joey had 26 papers in his desk. His teacher gave him some more and now he has 100. How many papers did his teacher give him?
2) The equation 0.44 s = 11 where s represents the number of stamps in a booklet. The booklet of stamps costs 11 dollars and each stamp costs 44 cents. How many stamps are in the booklet? Explain the strategies used to determine the answer. Show that the solution is correct using substitution.
3) Twelve is less than 3 times another number can be shown by the inequality 12 < 3n. What numbers could possibly make this a true statement?
1) Joey had 26 papers in his desk. His teacher gave him some more and now he has 100. How many papers did his teacher give him?
2) The equation 0.44 s = 11 where s represents the number of stamps in a booklet. The booklet of stamps costs 11 dollars and each stamp costs 44 cents. How many stamps are in the booklet? Explain the strategies used to determine the answer. Show that the solution is correct using substitution.
3) Twelve is less than 3 times another number can be shown by the inequality 12 < 3n. What numbers could possibly make this a true statement?
team challenge
The Log Ride
A theme park has a log ride that can hold 12 people. They also have a weight limit of 1500 lbs per log for safety reasons. If the average adult weighs 150 lbs, the average child weighs 100 lbs and the log itself weights 200 lbs, the ride can operate safely if the inequality 150A+100C+200 ≤ 1500 is satisfied (A is the number of adults and C is the number of children in the log ride together).
There are several groups of children of differing numbers waiting to ride. Group one has 4 children, group two has 3 children, group three has 9 children, group four 6 children while group five has 5 children. If 4 adults are already seated in the log, which groups of children can safely ride with them?
A theme park has a log ride that can hold 12 people. They also have a weight limit of 1500 lbs per log for safety reasons. If the average adult weighs 150 lbs, the average child weighs 100 lbs and the log itself weights 200 lbs, the ride can operate safely if the inequality 150A+100C+200 ≤ 1500 is satisfied (A is the number of adults and C is the number of children in the log ride together).
There are several groups of children of differing numbers waiting to ride. Group one has 4 children, group two has 3 children, group three has 9 children, group four 6 children while group five has 5 children. If 4 adults are already seated in the log, which groups of children can safely ride with them?