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Chapter 9 - XYZ Custom Plus

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<strong>Chapter</strong> 9 Review<br />

Simplify the expressions by combining similar terms. [9.1]<br />

1. 10x 1 7x<br />

2. 8x 2 12x<br />

3. 2a 1 9a 1 3 2 6<br />

4. 4y 2 7y 1 8 2 10<br />

5. 6x 2 x 1 4<br />

6. 25a 1 a 1 4 2 3<br />

7. 2a 2 6 1 8a 1 2<br />

8. 12y 2 4 1 3y 2 9<br />

Find the value of each expression when x is 4. [9.1]<br />

9. 10x 1 2 10. 5x 2 12 11. 22x 1 9 12. 2x 1 8<br />

13. Is x 5 23 a solution to 5x 2 2 5 217? [9.2] 14. Is x 5 4 a solution to 3x 2 2 5 2x 1 1? [9.2]<br />

Solve the equations. [9.2, 9.3, 9.4]<br />

15. x 2 5 5 4<br />

19. 2x 1 4 5 3x 2 5<br />

23. 3(2x 1 1) 2 4 5 27<br />

16. 2x 1 3 1 2x 5 6 2 7<br />

20. 4x 1 8 5 2x 2 10<br />

24. 4(3x 1 1) 5 22(5x 2 2)<br />

17. 2x 1 1 5 7<br />

18. 3x 2 5 5 1<br />

21. 3(x 2 2) 5 9<br />

22. 4(x 2 3) 5 220<br />

25. 5x 1 } 3 8 } 5 2}1 4 } 26. } 7 x } 2 }2 5 } 5 1<br />

27. Number Problem The sum of a number and 23 is 25.<br />

Find the number. [9.5]<br />

28. Number Problem If twice a number is added to 3, the result<br />

is 7. Find the number. [9.5]<br />

29. Number Problem Three times the sum of a number and 2<br />

is 26. Find the number. [9.5]<br />

30. Number Problem If 7 is subtracted from twice a number,<br />

the result is 5. Find the number. [9.5]<br />

31. Geometry The length of a rectangle is twice its width.<br />

If the perimeter is 42 meters, find the length and the<br />

width. [9.5]<br />

32. Age Problem Patrick is 3 years older than Amy. In 5<br />

years the sum of their ages will be 31. How old are they<br />

now? [9.5]<br />

In Problems 33-36, use the equation 3x 1 2y 5 6 to find y. [9.6]<br />

33. x 5 22 34. x 5 6 35. x 5 0 36. x 5 ​ 1 _<br />

3 ​<br />

In Problems 37–39, use the equation 3x 1 2y 5 6 to find x when y has the given value. [9.6]<br />

37. y 5 3 38. y 5 23 39. y 5 0<br />

<strong>Chapter</strong> 9<br />

Review<br />

571

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