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Algebra I - Quarter 2 Review
Solving Equations
1.    Solve for x:                                      2.     Solve for x:
      x                                                         x x
         + 10 = –2                                                 =5
      5                                                         2 4




3.     Solve for p:                                     4.     Solve for x:
         p     4                                                x2   x 1
                                                                   
       2p  5 9                                                  6     12




Word Problems
5.   Hannah wants to hire a painter to paint her house. Painters Plus charges $360 plus $12 per hour.
       Davis and Sons charges $279 plus $15 per hour. Find the number of hours when the cost for both
       companies would be the same.




6.     James and Javier drive in opposite directions. James travels for 3 hours and Javier travels for
       2 hours. Javier drives twice as fast as James. They drive a total of 280 miles. How fast does
       Javier drive?
7.    A cargo plane flew to the maintenance facility and back. It took one hour less time to get there
      than it did to get back. The average speed on the trip there was 220 mph. The average speed
      on the way back was 200 mph. How many hours did the trip there take?




8.    The length of a rectangle is 4 cm less than three times the width. The perimeter is 64 cm.
      Find the length and the width.




9.    Sarah riding a motorcycle at 35 mph left home 2.5 hours after her brother who was riding a
      bicycle at 10 mph. How long will it take Sarah to catch up to her brother?




10.   The sum of three consecutive even integers is -54. Find the integers.
Solving Inequalities
11.   Solve for k and graph the answer.
      4(5 + 2k) > 44




12.   Solve for c and graph the answer:
      5 − 2(4 − c) ≤ 9 – c




13.   Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members
      brought 42 blankets on Monday and 65 blankets on Wednesday. Write an inequality to
      describe how many blankets the team must donate on Friday to make or exceed their goal.




14.   Solve:
      -2 ≤ 2x – 4 < 6
15.    Solve:
       3x – 2 < -8 or -2x + 5 ≤ 3




16.    Solve for x:                                17.    Solve for x:
       2x  3 = 7                                         -3 2x  2 + 7 < -23




Graphing
18.    Find the slope of the line below:           19.    Find the slope of the line below:




20. Find the slope of the line that contains the   21. Find the slope of the line that contains the
points (-2, 1) and (3, -9).                        points (-3, 9) and (3, -3).

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Ccp q2 review for benchmark 2013 one used didn't get to slope intercept

  • 1. Algebra I - Quarter 2 Review Solving Equations 1. Solve for x: 2. Solve for x: x x x + 10 = –2  =5 5 2 4 3. Solve for p: 4. Solve for x: p 4 x2 x 1   2p  5 9 6 12 Word Problems 5. Hannah wants to hire a painter to paint her house. Painters Plus charges $360 plus $12 per hour. Davis and Sons charges $279 plus $15 per hour. Find the number of hours when the cost for both companies would be the same. 6. James and Javier drive in opposite directions. James travels for 3 hours and Javier travels for 2 hours. Javier drives twice as fast as James. They drive a total of 280 miles. How fast does Javier drive?
  • 2. 7. A cargo plane flew to the maintenance facility and back. It took one hour less time to get there than it did to get back. The average speed on the trip there was 220 mph. The average speed on the way back was 200 mph. How many hours did the trip there take? 8. The length of a rectangle is 4 cm less than three times the width. The perimeter is 64 cm. Find the length and the width. 9. Sarah riding a motorcycle at 35 mph left home 2.5 hours after her brother who was riding a bicycle at 10 mph. How long will it take Sarah to catch up to her brother? 10. The sum of three consecutive even integers is -54. Find the integers.
  • 3. Solving Inequalities 11. Solve for k and graph the answer. 4(5 + 2k) > 44 12. Solve for c and graph the answer: 5 − 2(4 − c) ≤ 9 – c 13. Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. Write an inequality to describe how many blankets the team must donate on Friday to make or exceed their goal. 14. Solve: -2 ≤ 2x – 4 < 6
  • 4. 15. Solve: 3x – 2 < -8 or -2x + 5 ≤ 3 16. Solve for x: 17. Solve for x: 2x  3 = 7 -3 2x  2 + 7 < -23 Graphing 18. Find the slope of the line below: 19. Find the slope of the line below: 20. Find the slope of the line that contains the 21. Find the slope of the line that contains the points (-2, 1) and (3, -9). points (-3, 9) and (3, -3).