Title: Solving Inequalities Review
Course: quiz duplicate error

Q: Graph the inequality.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Graph the inequality.

d< 2
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the inequality. Then graph your solution.

[Image]
- [Image] _ [Image]
- [Image] _ [Image]
- [Image] _ [Image]
- [Image] _ [Image]
A: [Image] _ [Image]

Q: Solve the inequality.

y – 10 > –1
- y < –11
- y > –11
- y > 11
- y > 9
A: y > 9

Q: Write an inequality for the graph.
[Image]
- x [Image] 3
- x [Image] 3
- x [Image] 3
- x [Image] 3
A: x [Image] 3

Q: Write an inequality for the sentence. Graph the solution on a number line.

c is not less than zero.
- c < 0 [Image]
- c > 0 [Image]
- c £ 0 [Image]
- c ³ 0 [Image]
A: c ³ 0 [Image]

Q: Solve the inequality. Graph the solutions.

q–7 > 0
- q > –7 [Image]
- q < –7 [Image]
- q < 7 [Image]
- q > 7 [Image]
A: q > 7 [Image]

Q: Solve the inequality.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the inequality. Then graph your solution.

[Image]
- [Image] [Image]
- [Image] [Image]
- [Image] [Image]
- [Image] [Image]
A: [Image] [Image]

Q: Graph the inequality.

x > –3
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the inequality. Graph the solutions.

a + 4 ³ 8
- a £ 4 [Image]
- a £ 12 [Image]
- a ³ 4 [Image]
- a ³ 12 [Image]
A: a ³ 4 [Image]

Q: Solve the inequality.

2(b – 8) > 12
- b > 20
- b > 6
- b > 14
- b < 20
A: b > 14

Q: Graph the solutions of the inequality on a number line.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the inequality. Then graph your solution.

c – 3 > 6
- c < –9 [Image]
- c > 9 [Image]
- c >3 [Image]
- c > –9 [Image]
A: c > 9 [Image]

Q: Graph the inequality.

k > [Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the inequality. Then graph your solution.

[Image]
- [Image] [Image]
- [Image]_ [Image]
- [Image] [Image]
- [Image] [Image]
A: [Image] [Image]

Q: Solve the inequality.

[Image]
- k > [Image]
- k > [Image]
- k < [Image]
- k < [Image]
A: k < [Image]

Q: Solve the inequality. Then graph your solution.

[Image]
- x > [Image] [Image]
- x > [Image] [Image]
- x > 32 [Image]
- x > –4 [Image]
A: x > 32 [Image]

Q: A road has a speed limit of 30 mi/h. Write an inequality that describes the legal speeds r for motor vehicles.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Together, Louisa and Jill scored more than 30 points in the basketball game. If Jill scored 12 points, how many points P did Louisa score?
- P > 18
- P > 42
- P < 42
- P < 18
A: P > 18

Q: Solve the inequality. Then graph your solution.

[Image]
- h ³ [Image] [Image]
- h ³ [Image] [Image]
- h £ [Image] [Image]
- h £ [Image] [Image]
A: h ³ [Image] [Image]

Q: Solve the inequality. Then graph your solution.

[Image]v< [Image]
- v < [Image] [Image]
- v < [Image] [Image]
- v < [Image] [Image]
- v < [Image] [Image]
A: v < [Image] [Image]

Q: Solve the inequality. Then graph your solution.

x – 7 > –3.1
- x > –10.1 [Image]
- x > 3.9 [Image]
- x > 4.1 [Image]
- x > –4.1 [Image]
A: x > 3.9 [Image]

Q: Solve the inequality. Graph the solutions.

h– 2 < –1
- h < 1 [Image]
- h > 1 [Image]
- h < –3 [Image]
- h > –3 [Image]
A: h < 1 [Image]

Q: Solve the inequality.

–5x – 7 < 28
- x > –7
- x < –7
- [Image]
- [Image]
A: x > –7

Q: Solve the inequality.

c – 12 > –1
- c > –13
- c > 11
- c > 13
- c < –13
A: c > 11

Solve: 5x < 15

Show the steps you would use to solve:

[Image]

Follow these directions to respond to this question:

1. Right click on the image at the bottom of these directions.

2. Choose Save As and save the image to your desktop.

3. Open Paint on your computer, then open the image you saved to your computer in Paint.

4. Answer the question using the text and drawing tools.

5. Save the picture.

6. Return to this question and click on the green picture tree as shown below.

[Image]

7. Click Find or Upload an Image.

8.  Click Upload a File on the left hand side.

9. Click Choose a File and select the file you just made.

[Image: Solve and Graph]

Q: Is x = 0 a solution to 4x - 5 > -6 ?
- Yes
- No
A: Yes

Q: Is x = -30 a solution to the following equation?

 [Image]
- Yes
- No
A: No

Q: Is  n = 5  a solution to  7 - 2n > -2  ?
- Yes
- No
A: No

Q: Andy has $550 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. How many weeks can the money last? Write an inequality for this situation.
- 550 - 25w > 200 (That's the one!)
- 550 - 25w < 200 (That would leave him with less than $200. "At least" means $200 or more.)
- 500 - 25w > 200 ("At least" means $200 or more. If he had $200 at the end of the summer that would be enough.)
- 200 - 25w > 500 (How will he have $500 left if he starts with $200 and spends money?)
A: 550 - 25w > 200

Q: Andy has $550 in a savings account at the beginning of the summer. He wants to have at least $200 in the
account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. How many weeks can the money last? Solve.
- w < 10; Andy can spend for less than 10 weeks. (Incorrect.)
- w < 14; Andy can spend for 14 weeks or less.
- w > 12; Andy can spend for more than 12 weeks. (Doesn't Andy have a limited amount of money? What if he spent for 20 weeks?)
- w > 14; Andy can spend for 14 weeks or more. (Didn't you divide by a negative? What should happen to the inequality symbol?)
A: w < 14; Andy can spend for 14 weeks or less.

Q: On vacation, Kaitlyn wanted to have her hair braided in multiple braids to cover her head. It costs a flat rate of $4, plus $0.75 per braid. She had saved $30. How many braids can she get?  Write an inequality for this situation.
- 4 + 0.75b > 30 ($30 is the most she can spend.)
- 4 + 0.75b < 30 (Correct.)
- 4b + 0.75b < 30 (She doesn't pay $4 per braid. That is a constant amount.)
- 4b + 0.75 < 30 (She doesn't pay $4 per braid. That is a constant amount. She pays $0.75 per braid.)
A: 4 + 0.75b < 30

Q: On vacation, Kaitlyn wanted to have her hair braided in multiple braids to cover her head. It costs a flat rate of $4, plus $0.75 per braid. She had saved $30. How many braids can she get?
- 35 braids or less (She can't round up or she will spend more than $30)
- 30 braids or less
- 34 braids or less
- 7 braids or less
A: 34 braids or less

Q: You are saving money for a summer camp that costs $1800. You have saved $500 so far, and you have 14 more weeks to save the total amount. What are the possible amounts that you can save per week in order to have a total of at least $1800 saved?

Write an inequality for this situation. Let m: money you save each week.
- 500m + 14 > 1800 (This shows money each week times $500. You shouldn't multiply money to money.)
- 14m + 500 > 1800
- 14m + 500 < 1800 (Incorrect. You want to save $1800 or more.)
- 14m + 500m > 1800 (This shows money each week times $500. The $500 is a constant.)
A: 14m + 500 > 1800

Q: You are saving money for a summer camp that costs $1800. You have saved $500 so far, and you have 14 more weeks to save the total amount. What are the possible amounts that you can save per week in order to have a total of at least $1800 saved?

Solve for m, the money you save each week.
- m < $92.86 (This would mean you could make less than $92, like $5 a week would be a solution. You won't save enough money that way.)
- m > $92.86
- m > $3.50 ($3.50 for 14 weeks is only $49. You need to save a lot more than that.)
- m < $182 (Incorrect. Check how you solved the inequality.)
A: m > $92.86

Q: The Community Swimming Pool charges a flat rate of $50 for a birthday party plus $2.50 for each person.  Deborah can't spend more than $100. How many friends can she invite?

Write an inequality for this situation. Let f: friends Deborah invites.
- 100 + 2.50f < 50 (She is no more than $100, not no more than $50.)
- 50f + 2.50 > 100 (It is $2.50 per friend, not $50 per friend.)
- 50 + 2.50f < 100
- 50 + 2.50f > 100 (Deborah does not want to spend more than $100. This would give her solutions greater than $100.)
A: 50 + 2.50f < 100

Q: The Community Swimming Pool charges a flat rate of $50 for a birthday party plus $2.50 for each person.  Deborah can't spend more than $100. How many friends can she invite?

What is the greatest number of friends Deborah can invite? Don't forget the units!
A: 20
Partly right: 19 (50%)
Feedback ("19"): She can spend $100, as long as she doesn't go over that.