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Riddle

Solve the equation. Then find the solution in the boxes at the bottom of the page. Cross out the box containing each correct solution. Unscramble the remaining letters on the lines below the boxes to find the answer to the following riddle.

What did the computer do at lunchtime?

1. 5x 5 225 2. x 1 9.6 5 7.8

3. 3x 2 8 5 16 4. x }

4 1 2 5 23

5. x 2 2(x 1 4) 5 10 6. 2 }

3 (4x 2 1) 5 222

7. 2(5x 1 8) 5 2(x 1 17) 8. 29 2 15x 5 246

9. x }

15 5

2 } 5 10.

x 1 9 }

18 5

12 }

72

11. x 1 8

} 3 5

2x 1 4 } 5 12.

24 }

25 5

36 } x

13. 6(x 2 3) 5 4x 14. 2.3x 1 4.5 5 0.3 2 0.5x

15. 4.7x 2 2.5 1 2.7x 5 12.8 2 1.6x 16. 3 }

4 x 1

1 } 8 (x 2 5) 5

1 }

4

17. x 2 1

} 14

5 3 } 7 18. 210 5

x }

8 2 15

19. 4(2x 1 3) 5 6(2 2 x) 20. 0.25x 5 4.9

21. 3x 1 8(x 2 1.9) 5 7.9 22. 24

} x 1 3

5 12 } x 2 5

x 5 4Y

x 5 220X

x 5 7.1B

x 5 5V

x 5 8P

x 5 29A

x 5 1.7C

x 5 2.8E

x 5 37.5F

x 5 40L

x 5 7K

x 5 9S

x 5 1J

x 5 2.1O

x 5 25M

x 5 35H

x 5 28W

x 5 19.6R

x 5 3T

x 5 23I

x 5 1.5D

x 5 21.8O

x 5 21P

x 5 21.5U

x 5 218R

x 5 0N

x 5 6G

x 5 28Z

x 5 18A

x 5 26Q

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Chapter Review Games and ActivitiesFor use after Solving Linear Equations

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Algebra 1Chapter Resource Book 2-89

ChApter

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CS10_CC_A1_MECR710723_C2RG.indd 89 5/10/11 12:55:48 AM

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Lesson Rewrite Equations and Formulas, continued

Problem Solving Workshop: Mixed Problem Solving

1. a. 7 }

41 5

x } 984 b. 168 students

2. a. 4 1 x

} 8 1 x

5 75

} 100 b. 8 3. 94 feet; Using the

scale, the actual width is 50 feet. Then using the ratio of the length to the width, the length is 94 feet. 4. 25 5. a. $36 b. $27.50 c. Buy the stereo that costs $110 and is on sale for 25% off the original price because it costs less.

6. r 5 A 2 P

} Pt ; r 5 0.044 or 4.4%; $226.40, The

principal is still 200, so just substitute 3 for t. 7. Answers will vary. Sample answer: When talking about the height increase of a person from when they are a baby to when they are an adult.

8. a. 5 }

4 5

x } 15 b.

10 } 7 5

x } 14 c. You will purchase

food first because after 18.75 minutes you will be able to order and after 20 minutes your friend will be able to order.

Challenge Practice

1. c 5 2a 1 3b

} abx 2 1

2. a 5 y2 2 3x

} 2x2 2 y

3. x 5 a 2 y }

a 2 y 2 ay 4. y 5

x2 2 cx 2 3c2 }}

2x 1 3c

5. y 5 uc 1 ud 1 vc 1 vd 2 ax 2 bx

}}} a 1 b

6. S 5 2880t 7. R 5 100x

} 2x 2 1

8. g 5 2t

} 3

9. V 5 Sx2 2 x4

} 4x

10. F 5 9 } 5 K 2 459.67

Review and Project

Review Games and Activities

1. 25 2. 21.8 3. 8 4. 220 5. 218 6. 28

7. 23 8. 5 9. 6 10. 26 11. 28 12. 37.5

13. 9 14. 21.5 15. 1.7 16. 1 17. 7 18. 40

19. 0 20. 19.6 21. 2.1 22. 21

Riddle Answer: HAD A BYTE

Project: Ice Rescue

1. Make sure students determine the area of the bottom of the can correctly and divide the total weight by this area to find the stess.

Sample answer: about 5 pounds per square inch

2. Make sure area estimates are reasonable.

Equations should be of the form

x 1 100

}} 2 3 area of foot

5 the stress the ice can bear.

Sample answer: 32 in.2; x 1 100

} 64

5 5; 220 lb

3. The equation should be of the form

x 1 102

} 4 5 the stress the ice can bear.

Sample answer: x 1 102

} 4 5 5; 282 lb

4. The equation should be of the form

x 1 110

} 2592

5 the stress the ice can bear.

Sample answer: x 1 110

} 2592

5 5; 12,850 lb

Algebra 1Chapter Resource BookA18

2.8

CS10_CC_A1_MECR710723_C2AK.indd 18 5/21/11 1:53:21 AM