Chapter 9 - XYZ Custom Plus
Chapter 9 - XYZ Custom Plus
Chapter 9 - XYZ Custom Plus
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9.5 Problem Set<br />
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Problem Set 9.5<br />
Write each of the following English phrases in symbols using the variable x.<br />
1. The sum of x and 3<br />
2. The difference of x and 2<br />
3. The sum of twice x and 1<br />
4. The sum of three times x and 4<br />
5. Five x decreased by 6<br />
6. Twice the sum of x and 5<br />
7. Three times the sum of x and 1<br />
8. Four times the sum of twice x and 1<br />
9. Five times the sum of three x and 4<br />
10. Three x added to the sum of twice x and 1<br />
Use the six steps in the “Blueprint for Problem Solving” to solve the following word problems. You may recognize the solution<br />
to some of them by just reading the problem. In all cases, be sure to assign a variable and write the equation used<br />
to describe the problem. Write your answer using a complete sentence.<br />
A Number Problems [Examples 1, 2]<br />
11. The sum of a number and 3 is 5. Find the number.<br />
12. If 2 is subtracted from a number, the result is 4. Find<br />
the number.<br />
13. The sum of twice a number and 1 is 23. Find the number.<br />
14. If three times a number is increased by 4, the result is<br />
28. Find the number.<br />
15. When 6 is subtracted from five times a number, the result<br />
is 9. Find the number.<br />
16. Twice the sum of a number and 5 is 4. Find the number.<br />
17. Three times the sum of a number and 1 is 18. Find the<br />
number.<br />
18. Four times the sum of twice a number and 6 is 28. Find<br />
the number.<br />
19. Five times the sum of three times a number and 4 is<br />
210. Find the number.<br />
20. If the sum of three times a number and two times the<br />
same number is increased by 1, the result is 16. Find<br />
the number.
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