NameTranslating Word Expressions

Date Period

Translate each expression into an algebraic expression, using parentheses as necessary .

The product of nine and r, decreased by t 9 Jt.I -..*;..

2. The sum of m and ten multiplied by 4

3. The sum of a and b, divided by c

4. The number x subtracted from the product of yand z

5. The product of four times the difference of a and b

6. The sum of five and x, divided by y

7. The number csubtracted from the product of rand s

8. Three times the difference of p and q

9. The number a times the difference between b and c

10. The product of z and the difference between 7 and a

11. Six more than the product of r and t

12. The number seven, divided by the sum of pand q

13. Three times the difference between 5x and y

14. The number five divided by the sum of c and d

15. The product of m and n increased by eight

16. The number a multiplied by the sum of 7 and x

",-JSl-J~S,,'.~ '~M""",WO"&,,~,.",

,""-,(m"""("b,,,,,,-,""b""""""-",",,"""."("""""",",,,"'(."""'("""m"..."(",,

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86CCI1984 by Dale Seymour Publications

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Problem Solvlng With Equations Name

Date Period

Write an equation and solve.

1. Four times a number equals 28. Find the number. .l,l ..-x.) = .2. i

~ =- 7

2. Six times a number equals -36. Find the number.

3. One-half of a number is seventeen. Find the number.

4. Two-thirds of a number is -12. Find the number.

5. Seven times a number equals -77. Find the number.

6. Eight times a number is 44. Find the number.

7."Jerry is twice as old as Mary. If Jerry is twelve years old, how old is Mary?

8. John is four times as old as his son. If John is 44 years old, how old is his son?

9. The length of a rectangle is four times the width. If the length is 20 inches, what is the width?

10. The length of a rectangle is six times the width. If the length is 18 inches, what i$ the width?

11. Two-thirds of the students in class are male. If 18 of the students are male, how many students are

in the class?

12. Three-fourths of the student body attended the pep rally. If there were 1230 at the pep rally, how

many students are there in all?

513. If- yard of fabric costs $3.75, what does one yard cost?

8

@ 1984 by Dale Seymour Publications 93

Problem Solving With Equations Name

Date Period

Show a complete solution for each problem.

1. Separate 126 into two parts so that one part is 16 more than the other part. Find each part.-1£. ~ ~p.., l;.; 1t...(-w.+I~)= 101.10

~+I(Q = ~ ~ ~+-Ir. ~ (.1,.(.~"X.: ((0 ~+1(.=71

-w. -S"s2. Separate 185 into two parts so that one part is 31 more than the other part. Find each part.

3. Separate 46 into two parts so that one part is one more than twice as much as the first part. Findeach part.

4. Separate 77 into two parts so that one part is 41ess than twice as much as the other. Find each part.

5. A board 76 inches long is to be cut into two parts so that one part is 5 inches less than twice as longas the other part. Find the length of each part.

6. A board 109 cm long is to be cut into two pieces so that the longer part is 1 0 cm more than twice aslong as the shorter part. Find the length of each part.

7. Rhonda worked three more than twice as many hours as Ron did. How many hours did each work iftogether they worked 57 hours?

8. Jim worked five less than twice as many hours as Jane did. How many hours did each work if

together they worked 97 hours?

9. The sum of the ages of Jerry and his father is 64 years. The difference in their ages is 32 years. Howold is each?

10. The sum of the ages of Ruth and her mother is 77 years. The difference in their ages is 27 years.How old is each?

11. The sum of $224 was divided among 3 people so that the second person received $1 less thantwice as much as the first, and the third received $11 more than the second. How much did eachperson receive?

12. The sum of $127 was divided among 3 people so that the second received $5 less than twice asmuch as the first, and the third received $2 more than the second. How much did each personreceive?

-~s~

@ 1984 by Dale Seymour Publications 101Page 101 Problem Solving with Equation~

1:55, 71 2. 77, 108 3.15, 31 4. 2i, 50 5.27 in., 49in. 6.33 cm, 76 cm 7. 18 h, 39 h 8.34 h, 63 h 9. 16years, 48 years 10. 25 years, 52 years 11. $43, $85,$96 12. $27, $49, $51"---

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Consecutive Integer Problems Name

Date Period

~+..1.=3"'~+I= 3S

Sh9w a complete solution for each

1. The sum of three consecutive-t.:~ : ~

~ 4- I ~ ~ -~-"'---~~-~~~: ~.1--.:-~

2. The sum of three consecutive

3. The sum of four consecutive integers is -334. Find the integers.

4. The sum of four consecutive integers is 262. Find the integers.

5. The sum of three consecutive integers is 33 more than the least of the integers. Find the integers.

6. The sum of three consecutive integers is 4 ?less than the least of the integers. Find the integers.

7. The sum of three consecutive even integers is 138. Find the integers.

8. The sum of three consecutive even integers is ~312. Find the integers.

9. The sum of three consecutive odd integers is -219. Find the integers.

10. The sum of three consecutive odd integers is 285. Find the integers.

11. The sum of four consecutive even integers is the same as the least of the integers. Find the integers.

12. The sum of four consecutive odd integers is 0. Find the integers.

99c 1984 by Dale Seymour Publk;ations

problem.

integers is 105. Find the integers.~ .,. ( ~+/) + ( ~ +.:2..) : IOS

311. + 3 & IO~3 x = IOoz..

Y.. :. 3¥-integers is -129. Find the integers.

~ S(..J~-~

Page 99 Consecutive Integer Problems