A. Solve, graph, and express the solution set of each inequality in interval form. 1. y-1> 2

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please answer all the given questions. This is for my Grade 7 brother. I am pretty busy right now. I can't help him. I hope you answer it all. Thank you so much. 

TIME TO THINK
A. Solve, graph, and express the solution set of each inequality in interval form.
1. y-1> 2
2. 3x +7< 15
3. m+ 15 2 25
4. 5x-6 <- 8
5. 2x 2 10 - x
6. 6x + 3s 15 - 2x
7. 4m -5> 7m + 12
8. -7< 2x -5 <-3
9. 62 3x + 2 > 12
10. 8< 4p - 6 < 20
B. Solve each of the following problems.
1. One-fourth of a number plus five is greater than ten. What are the numbers?
2. Five times the sum of a number and three is greater than twice the number. Find the
numbers.
3. Gwen weighs 180 pounds. She wants to weigh less than 160 pound. If she can lose an
average of 2 pounds per week, how long should she stay on her diet to reach her goal
weight?
4. Melvin's scores in three math quizzes were 89, 93, 86. He needs an average of at least
90 to qualify as an honor student for the grading period. What score must he get on the
final quiz?
5. Twice a number minus five is less than fifteen and greater than three. What are the
numbers?
22 Mathematics 7/ Third Quarter
OPPO F11 Pro
Transcribed Image Text:TIME TO THINK A. Solve, graph, and express the solution set of each inequality in interval form. 1. y-1> 2 2. 3x +7< 15 3. m+ 15 2 25 4. 5x-6 <- 8 5. 2x 2 10 - x 6. 6x + 3s 15 - 2x 7. 4m -5> 7m + 12 8. -7< 2x -5 <-3 9. 62 3x + 2 > 12 10. 8< 4p - 6 < 20 B. Solve each of the following problems. 1. One-fourth of a number plus five is greater than ten. What are the numbers? 2. Five times the sum of a number and three is greater than twice the number. Find the numbers. 3. Gwen weighs 180 pounds. She wants to weigh less than 160 pound. If she can lose an average of 2 pounds per week, how long should she stay on her diet to reach her goal weight? 4. Melvin's scores in three math quizzes were 89, 93, 86. He needs an average of at least 90 to qualify as an honor student for the grading period. What score must he get on the final quiz? 5. Twice a number minus five is less than fifteen and greater than three. What are the numbers? 22 Mathematics 7/ Third Quarter OPPO F11 Pro
TIME TO THINK
Solve each of the following problems completely.
1. Find five consecutive even integers whose sum is 110.
2. Jim is twice as old as his sister. Five years from now, the sum of their ages will be
91. How old is Jim now?
3. The width of a rectangle is 15cm less than its length. The perimeter of the rectangle
is 126cm. Find its dimensions.
4. Dylan invested P120,000, part at 8% and the rest at 10%. If the amount of interest
earned at 8% was four times the amount of interest earned at 10%, how much did
Dylan invest at each rate?
5. It takes a man two hours to mow his lawn, It takes his son three hours to mow the
same lawn. How long will it take if father and son work together to mow the lawn?
6. Solution A is 50% acid and Solution B is 20% acid. How much of each solution is
needed to produce300 liters of a solution that is 30% acid?
7. Wendell leaves his home town traveling 60km per hour. At the same time Randell
leaves home traveling 75 km per hour. The two live 540 km apart and are traveling
to meet each other for a lunch meeting at noon. What time did they leave their
homes?
Mathematics 7/ Third Quarter 15
OPPO F11 Pro
Transcribed Image Text:TIME TO THINK Solve each of the following problems completely. 1. Find five consecutive even integers whose sum is 110. 2. Jim is twice as old as his sister. Five years from now, the sum of their ages will be 91. How old is Jim now? 3. The width of a rectangle is 15cm less than its length. The perimeter of the rectangle is 126cm. Find its dimensions. 4. Dylan invested P120,000, part at 8% and the rest at 10%. If the amount of interest earned at 8% was four times the amount of interest earned at 10%, how much did Dylan invest at each rate? 5. It takes a man two hours to mow his lawn, It takes his son three hours to mow the same lawn. How long will it take if father and son work together to mow the lawn? 6. Solution A is 50% acid and Solution B is 20% acid. How much of each solution is needed to produce300 liters of a solution that is 30% acid? 7. Wendell leaves his home town traveling 60km per hour. At the same time Randell leaves home traveling 75 km per hour. The two live 540 km apart and are traveling to meet each other for a lunch meeting at noon. What time did they leave their homes? Mathematics 7/ Third Quarter 15 OPPO F11 Pro
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