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Unit 4 Study Guide - Solving Equations and Inequalities
6.EE.5 – Solving Equations using Inverse Operations
Solve each equation below and check each solution.
1. r + 5 = 132. f + 17 = 26
3. p – 4 = 34. d – 14 = 13
5. 11g = 666. 7u = 63
7. a = 168. w = 2
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6.EE.7 - Solving Real Word Problems Using Equations
Answer each question below.
9. Deandre is saving money for a TV that costs $139. He has already saved $65. How much more money does Deandre need to save.
Draw a picture, write an equation, and solve the equation to answer the question above.
10. Avery earned scores of 36, 45, and 48 points on his first three Spanish quizzes. If he earned a total of 180 points for the quarter, how many points did Avery earn on the fourth quiz?
Draw a picture, write an equation, and solve the equation to answer the question above.
11.The table below shows the deposits Miriam has made to her savings account. If her deposits totaled $305, write and solve an equation to find the amount of the missing deposit.
Deposit 1 / $76.25Deposit 2 / ?
Deposit 3 / $59.63
Deposit 4 / $31.92
Deposit 5 / $84.30
12.Delvonte has a large alternative rock CD collection. He loaned out 24 of his CD’s to his friends. If he has 35 CD’s left in his possession now, how many alternative rock CD’s does Delvonte have in his entire collection?
Draw a picture, write an equation, and solve the equation to answer the question above.
13.Lorena spent her birthday money on a DVD that cost $14, a new sweater for $18, and a mini digital camera for $34. The tax on the total purchase was $5. If Lorena received $9 back in change, how much did she give the cashier?
Draw a picture, write a subtraction equation, and solve the equation to answer the question above.
Justify your answer.
14.It takes Imani 4 times as long as Carissa to travel to school each morning. If it takes Imani 28 minutes to travel to school, how long does it take Carissa?
Draw a picture, write a multiplication equation, and solve the equation to answer the question above.
Explain your reasoning.
6.EE.8 - Solving Inequalities
Answer each question below.
Solve each Inequality below and graph each solution.
15. n + 61916. h + 1236
17. p – 2≤1318. d – 5≥7
19. 15p7520. 6u 612
21. a ≤ 622. j ≥ 12
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Select the graph that matches each inequality.
23. j ≥ 024. h < 0
25. n > 326.y ≥ 3
Write an inequality for each scenario below.
27. You must do more than 30 jumping jacks.
28. The stadium will hold at most 25,000 people.
29. People under 16 are not allowed to drive.
30. Children at least 36 inches tall can ride the go-carts.
Write an inequality, solve the inequality and graph the solution for each scenario below.
31. The difference between a number and seven is at least 12.
32. The speed limit on the highway is 60 MPH. Mr. Erickson is driving at 53 MPH. Write an
Solve and graph the inequality.
EXTENDED RESPONSE – Solve the problem, showing all work,
33. Vivica is hiking through the national parks during her vacation. Her journey takes her
490 miles to complete in 35 days.
a. Write a multiplication equation to represent this situation.
b. Solve the equation.
c. Explain and justify your answers to parts (a) and (b).