Linear Systems (A)Solve each system of equations.

1. 6b+4y = 544b = 20

2. a+4x = 116a = 18

3. 4u+5v = 305u = 25

4. 2u+5y = 154u = 20

5. 2b+ c = 122b = 10

6. 6c+ z = 315c = 25

7. 6b+4v = 145b = 5

8. 2x+6z = 145x = 5

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Linear Systems (A) AnswersSolve each system of equations.

1. 6b+4y = 544b = 20b = 5,y = 6

2. a+4x = 116a = 18a = 3,x = 2

3. 4u+5v = 305u = 25u = 5,v = 2

4. 2u+5y = 154u = 20u = 5,y = 1

5. 2b+ c = 122b = 10b = 5,c = 2

6. 6c+ z = 315c = 25c = 5,z = 1

7. 6b+4v = 145b = 5b = 1,v = 2

8. 2x+6z = 145x = 5x = 1,z = 2

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Linear Systems (B)Solve each system of equations.

1. 2b+2z = 146b = 18

2. 2a+3c = 95a = 15

3. 6c+3v = 365c = 20

4. c+2y = 116c = 18

5. 4a+3x = 155a = 15

6. 4a+6v = 345a = 20

7. 3b+ x = 46b = 6

8. 5a+6u = 606a = 36

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Linear Systems (B) AnswersSolve each system of equations.

1. 2b+2z = 146b = 18b = 3,z = 4

2. 2a+3c = 95a = 15a = 3,c = 1

3. 6c+3v = 365c = 20c = 4,v = 4

4. c+2y = 116c = 18c = 3,y = 4

5. 4a+3x = 155a = 15a = 3,x = 1

6. 4a+6v = 345a = 20a = 4,v = 3

7. 3b+ x = 46b = 6b = 1,x = 1

8. 5a+6u = 606a = 36a = 6,u = 5

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Linear Systems (C)Solve each system of equations.

1. 4c+2v = 202c = 8

2. 4u+4z = 282u = 2

3. 4x+ z = 184x = 16

4. 2b+2x = 144b = 4

5. 3a+4u = 233a = 3

6. 3u+4z = 385u = 30

7. 2a+2b = 104a = 4

8. 4u+5y = 172u = 6

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Linear Systems (C) AnswersSolve each system of equations.

1. 4c+2v = 202c = 8c = 4,v = 2

2. 4u+4z = 282u = 2u = 1,z = 6

3. 4x+ z = 184x = 16x = 4,z = 2

4. 2b+2x = 144b = 4b = 1,x = 6

5. 3a+4u = 233a = 3a = 1,u = 5

6. 3u+4z = 385u = 30u = 6,z = 5

7. 2a+2b = 104a = 4a = 1,b = 4

8. 4u+5y = 172u = 6u = 3,y = 1

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Linear Systems (D)Solve each system of equations.

1. 4c+2v = 286c = 36

2. y+4z = 106y = 36

3. 6a+b = 404a = 24

4. 4x+2y = 222x = 6

5. 2c+3y = 15c = 6

6. 3b+4u = 146b = 12

7. 4c+2u = 284c = 24

8. 5v+3y = 422v = 12

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Linear Systems (D) AnswersSolve each system of equations.

1. 4c+2v = 286c = 36c = 6,v = 2

2. y+4z = 106y = 36y = 6,z = 1

3. 6a+b = 404a = 24a = 6,b = 4

4. 4x+2y = 222x = 6x = 3,y = 5

5. 2c+3y = 15c = 6c = 6,y = 1

6. 3b+4u = 146b = 12b = 2,u = 2

7. 4c+2u = 284c = 24c = 6,u = 2

8. 5v+3y = 422v = 12v = 6,y = 4

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Translating Algebraic Phrases (A)Name: Date:

Write an algebraic expression for each phrase.

1. a number b divided by thirty-six

2. sixty-six subtracted from a number p

3. the quotient of twenty-nine and a number h

4. a number n plus forty-nine

5. three divided by a number g

6. the total of twenty-four and a number x

7. the difference between eighteen and a number m

8. a number k added to twenty-eight

9. ninety-eight more than a number d

10. a number j multiplied by ifty-six

11. a number y increased by eighty-six

12. twenty-nine to the wth power

13. a number q decreased by eighty- ive

14. the difference between a number f and two

15. the quotient of a number t and thirty-seven

16. a number s minus eighty-two

17. the product of a number z and eighty-four

18. a number v to the power of sixty- ive

19. the sum of forty- ive and a number r

20. the product of ifty-two and a number c

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Translating Algebraic Phrases (A) AnswersName: Date:

Write an algebraic expression for each phrase.

1. a number b divided by thirty-six b36

2. sixty-six subtracted from a number p p− 66

3. the quotient of twenty-nine and a number h 29h

4. a number n plus forty-nine n+ 49

5. three divided by a number g 3g

6. the total of twenty-four and a number x 24+ x

7. the difference between eighteen and a number m 18−m

8. a number k added to twenty-eight 28+ k

9. ninety-eight more than a number d d+ 98

10. a number j multiplied by ifty-six 56j

11. a number y increased by eighty-six y+ 86

12. twenty-nine to the wth power 29w

13. a number q decreased by eighty- ive q− 85

14. the difference between a number f and two f− 2

15. the quotient of a number t and thirty-seven t37

16. a number s minus eighty-two s− 82

17. the product of a number z and eighty-four z× 84

18. a number v to the power of sixty- ive v65

19. the sum of forty- ive and a number r 45+ r

20. the product of ifty-two and a number c 52c

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Translating Algebraic Phrases (B)Name: Date:

Write an algebraic expression for each phrase.1. a number d minus seventeen

2. a number w added to ifty

3. a number c to the power of eighty-four

4. the product of ninety-two and a number p

5. the difference between a number k and ifty-four

6. the quotient of twenty-three and a number f

7. a number q plus ninety-eight

8. the sum of seventy-seven and a number t

9. the quotient of a number h and thirty-nine

10. ifty-four added to a number v

11. ninety-seven times a number m

12. sixty-seven subtracted from a number z

13. a number b increased by three

14. thirty- ive less than a number g

15. a number y multiplied by thirty- ive

16. a number j divided by sixteen

17. the total of sixty and a number r

18. ifty- ive to the sth power

19. the difference between eight and a number x

20. forty-four more than a number n

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Translating Algebraic Phrases (B) AnswersName: Date:

Write an algebraic expression for each phrase.1. a number d minus seventeen d− 17

2. a number w added to ifty 50+ w

3. a number c to the power of eighty-four c84

4. the product of ninety-two and a number p 92p

5. the difference between a number k and ifty-four k− 54

6. the quotient of twenty-three and a number f 23f

7. a number q plus ninety-eight q+ 98

8. the sum of seventy-seven and a number t 77+ t

9. the quotient of a number h and thirty-nine h39

10. ifty-four added to a number v v+ 54

11. ninety-seven times a number m 97m

12. sixty-seven subtracted from a number z z− 67

13. a number b increased by three b+ 3

14. thirty- ive less than a number g g− 35

15. a number y multiplied by thirty- ive 35y

16. a number j divided by sixteen j16

17. the total of sixty and a number r 60+ r

18. ifty- ive to the sth power 55s

19. the difference between eight and a number x 8− x

20. forty-four more than a number n n+ 44

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Translating Algebraic Phrases (C)Name: Date:

Write an algebraic expression for each phrase.1. the sum of a number t and twelve

2. a number v to the power of seven

3. the total of thirty and a number w

4. the quotient of two and a number x

5. a number n multiplied by sixty-two

6. the product of ifty-two and a number h

7. a number q increased by eighty

8. seventy-six more than a number j

9. twelve less than a number g

10. ninety-six added to a number c

11. seventy-two subtracted from a number f

12. eighty- ive divided by a number z

13. the difference between ifty-one and a number b

14. the sum of ninety-two and a number d

15. the quotient of a number m and seventy-three

16. a number r divided by ifty-one

17. a number p minus fourteen

18. a number y decreased by ninety-six

19. a number s added to twenty- ive

20. the difference between a number k and two

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Translating Algebraic Phrases (C) AnswersName: Date:

Write an algebraic expression for each phrase.1. the sum of a number t and twelve t+ 12

2. a number v to the power of seven v7

3. the total of thirty and a number w 30+ w

4. the quotient of two and a number x 2x

5. a number n multiplied by sixty-two 62n

6. the product of ifty-two and a number h 52h

7. a number q increased by eighty q+ 80

8. seventy-six more than a number j j+ 76

9. twelve less than a number g g− 12

10. ninety-six added to a number c c+ 96

11. seventy-two subtracted from a number f f− 72

12. eighty- ive divided by a number z 85z

13. the difference between ifty-one and a number b 51− b

14. the sum of ninety-two and a number d 92+ d

15. the quotient of a number m and seventy-three m73

16. a number r divided by ifty-one r51

17. a number p minus fourteen p− 14

18. a number y decreased by ninety-six y− 96

19. a number s added to twenty- ive 25+ s

20. the difference between a number k and two k− 2

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Translating Algebraic Phrases (D)Name: Date:

Write an algebraic expression for each phrase.

1. a number f divided by ifty-three

2. a number w increased by six

3. a number m to the power of eight

4. the product of a number x and twenty-four

5. thirty-nine subtracted from a number j

6. a number t decreased by forty-three

7. twenty-six less than a number c

8. the total of ninety-eight and a number v

9. the quotient of twenty-one and a number z

10. a number n plus thirty-two

11. a number k minus forty-seven

12. the difference between a number p and sixty-four

13. the quotient of a number q and seventy-two

14. a number h added to eighty-two

15. thirty-seven added to a number d

16. the sum of eleven and a number r

17. a number b multiplied by ninety

18. seven to the yth power

19. the difference between two and a number s

20. seventy-four times a number g

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Translating Algebraic Phrases (D) AnswersName: Date:

Write an algebraic expression for each phrase.

1. a number f divided by ifty-three f53

2. a number w increased by six w+ 6

3. a number m to the power of eight m8

4. the product of a number x and twenty-four x× 24

5. thirty-nine subtracted from a number j j− 39

6. a number t decreased by forty-three t− 43

7. twenty-six less than a number c c− 26

8. the total of ninety-eight and a number v 98+ v

9. the quotient of twenty-one and a number z 21z

10. a number n plus thirty-two n+ 32

11. a number k minus forty-seven k− 47

12. the difference between a number p and sixty-four p− 64

13. the quotient of a number q and seventy-two q72

14. a number h added to eighty-two 82+ h

15. thirty-seven added to a number d d+ 37

16. the sum of eleven and a number r 11+ r

17. a number b multiplied by ninety 90b

18. seven to the yth power 7y

19. the difference between two and a number s 2− s

20. seventy-four times a number g 74g

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