Selected Answers

Chapter 1

Get Ready! pp. 1 1. 0 2. − 2 negative 2 3. − 2.09 negative , 2.09 4. 8.05 5. − 3 4 negative , 3 fourths 6. 11 12 11 over 12 7. 10 7 10 10 , and 7 tenths 8. 3 1 2 3 , and 1 half 9. − 42 negative 42 10. 72 11. 9 12. − 9.8 negative 9.8 13. − 3 1 3 negative , 3 , and 1 third 14. − 5 1 2 negative , 5 , and 1 half 15. − 4 2 3 negative , 4 , and 2 thirds 16. − 3 4 negative , 3 fourths 17. − 21 negative 21 18. 7.35 19. − 1 6 negative , 1 sixth 20. − 3 5 negative , 3 fifths 21. − 20 negative 20 22. 8 23. 0.97 24. − 5 negative 5 25. 55 26. 3 27. because the placement of the parentheses changes the order of operations 28. 3 29. 3 terms 30. Calculate the answer numerically. 31. 3 n − 3 fraction 3 , over n minus 3 end fraction

Lesson 1–1 pp. 4–10

Got It? 1. The pattern shows a center square and a yellow square added to each side with the number of squares per side increasing by one.

2. 52 tiles 3. a. $12 b. $20 c. The number of platys must be a whole number whereas the length of fish can be a fraction or a decimal.

Lesson Check 1. add 35 2. rotate 90 ° 90 degrees clockwise

3.

4.

5. Answers may vary. Sample: Look for the same type of change between consecutive figures.

6. Answers may vary. Sample: Tables of values and pictorial representations are both convenient ways to organize data and discover patterns. Tables give more detail. Pictorial representations are visual. 7. No; the output is 1 2 1 half the input for all values except the first (Input: 3; Output: 2).

Exercises 9. Base of 3 squares with the number of squares increasing vertically by one on each of the outer squares of the base.

11. One square, then 2 2 2 squared or 4 squares, then 3 2 3 squared or 9 squares, then 4 2 4 squared or 16 squares. In general, the number of squares is n × n n times n or n 2 . n squared , .

13. 2n

15. 4 n − 1 4 n minus 1

17. 7 ; 8 ; n + 2 7 semicolon 8 semicolon n plus 2

19. Output =  Input  + 1 cap output , equals , cap input , plus 1

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