Algebra-1 Review for Test #3 (Part I)

Name: ______Period: ______Date: ______

Solve each inequality. Graph the solution on the number line.

1.) 2)

3) 4)

5) 6)

7) 8) 2(3d – 4) < 4+6d – 15

Solve the inequality. Do not graph.

9) 10)

11. 12.

13. 14.

15. 16.

17. 18.

19.) Write an inequality for the given graph.

a) ______b) ______

20.) It takes Jose at least 15 seconds, s, to respond to the teacher’s question. Write and graph an inequality to describe this interval.

Algebra-1 Review for Test #3 (Part II)

Name: ______Period: ______Date: ______

21) Ms. Salgado needs to have her car repaired but does not want to spend more than $225 for the repairs. The mechanic says that the part needed for the repair will cost $78, and that labor will cost an additional $35 per hour. Which inequality below represents the greatest number of hours the mechanic can work without exceeding Ms. Salgado’s budget?

a) 225 - 35x < 78 b) 113x ≤ 225 c) 35 + 78x ≤ 225 d) 35x + 78 ≤225

Write an inequality and solve. Be sure to describe your solution on the blank provided.

22) At Fry’s Electronics, one DVD costs $20 and one videotape costs $7.00. You have a gift card of $100 value. You want to purchase one DVD, and spend the remaining money on videotapes. What is the maximum number of videotapes,, you can purchase ?

Describe solution:______

23) A blank CD can hold 70 minutes of music. So far you have burned 25 minutes of music onto the CD. You estimate that each song lasts 4 minutes. What are the possible numbers of additional songs that you can burn onto the CD? (Write and solve an inequality)

Describe solution:______

24) A theater can seat at most 625 people. The box office has sold tickets for 284 seats. Write and solve an inequality to find the possible number of remaining tickets t, the box office can sell.

Describe solution:______

25.) Mr. Alonzo needs to grade tests. He has to grade a total of 120 tests and can grade at most 20 tests per hour. How long will it take him to grade all the tests?

Describe solution:______

26) Kelly thinks it would be cool if she made a fort in her back yard. Her expenses include $20 for nails and $8.25 for each piece of lumber. She wants to spend no more than $284. How many pieces of lumber can she purchase?

Describe solution:______

27) David works in the shipping department loading shipping crates with boxes. Each empty crate weighs 120 lbs. How many boxes weighing 20 lbs. can David put in the crate if the total weight is to be no more than 860 lbs?

Describe solution:______

28) Tickets to a museum cost $5 for adults and $2.50 for children. There are five adults in the group. The total cost for the group was no more than $57.50. What is the greatest possible number of children in the group?

Describe solution:______

29) Doreen has started a part-time business making and selling bird feeders. Her equipment costs her $75. If she makes a profit of $6 on each bird feeder, how many must Doreen sell to make a total profit of more than $135?

Describe solution:______

30) Jessica makes blankets that sell for $500 each. She has already woven 7 blankets. Which inequality can you solve to determine the number of additional blankets n that Jessica will make if the total income from the sale of all her blankets will be at least $12,000? (Solve for n).

A.

B.

C.

D.

Answer: at least ______blankets.

n≥17 / x≤-14 / x≤37 / x≥17 / y≤5 / x>2 / 11 / All real numbers / 11 / n≤6
13 / x≥15 / c≤5 / d≤3 / x<11/3 / 78+35x≤225 / x<4 / x≤6 / No solution / x≤32
x≥4 / d≤8 / t≤341 / h≤6 / x>-1.25 / All real numbers / No solution / x≥41 / x>-40 / h<-2