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90147 ALGEBRA

90147 ALGEBRA. 2006. QUESTION ONE. Solve these equations:. 2( x − 3) = 8. 2( x − 3) = 8. 5 x + 7 = x − 2. 5 x + 7 = x − 2. 3 x ( x + 4) = 0. 3 x ( x + 4) = 0. x = 0, -4. QUESTION TWO. Expand and simplify: (3 x − 1)( x − 2) = . QUESTION TWO. Expand and simplify:

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90147 ALGEBRA

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  1. 90147 ALGEBRA 2006

  2. QUESTION ONE • Solve these equations:

  3. 2(x − 3) = 8

  4. 2(x − 3) = 8

  5. 5x + 7 = x − 2

  6. 5x + 7 = x − 2

  7. 3x(x + 4) = 0

  8. 3x(x + 4) = 0 x = 0, -4

  9. QUESTION TWO • Expand and simplify: • (3x − 1)(x − 2) =

  10. QUESTION TWO • Expand and simplify: • (3x − 1)(x − 2) =

  11. QUESTION THREE • Simplify:

  12. QUESTION THREE • Simplify:

  13. QUESTION FOUR • Mary prints flowers onto different-shaped tablecloths. • Mary’s rule for calculating the total number of flowers, F, she prints onto a tablecloth is: • where n is the number of edges on the tablecloth. • Use this rule to calculate the total number of flowers, F, she prints on a tablecloth that has 6 edges. • The total number of flowers, F =

  14. QUESTION FOUR • Mary prints flowers onto different-shaped tablecloths. • Mary’s rule for calculating the total number of flowers, F, she prints onto a tablecloth is: • where n is the number of edges on the tablecloth. • Use this rule to calculate the total number of flowers, F, she prints on a tablecloth that has 6 edges. • The total number of flowers, F =

  15. QUESTION FOUR • Mary prints flowers onto different-shaped tablecloths. • Mary’s rule for calculating the total number of flowers, F, she prints onto a tablecloth is: • where n is the number of edges on the tablecloth. • Use this rule to calculate the total number of flowers, F, she prints on a tablecloth that has 6 edges. • The total number of flowers, F =

  16. QUESTION FIVE • Simplify

  17. QUESTION FIVE • Simplify

  18. QUESTION SIX • Peter has more than twice as many CDs as Mary. • Altogether they have 97 CDs. • Write a relevant equation, and use it to find the least number of CDs that Peter could have. • Least number of CDs that Peter could have =

  19. QUESTION SIX • Peter has more than twice as many CDs as Mary. • Altogether they have 97 CDs. • Mary = x, Peter = more than 2x • Write a relevant equation, and use it to find the least number of CDs that Peter could have. • Least number of CDs that Peter could have =

  20. QUESTION SIX • Peter has more than twice as many CDs as Mary. • Altogether they have 97 CDs. • Mary = x, Peter = more than 2x • Write a relevant equation, and use it to find the least number of CDs that Peter could have. • Least number of CDs that Peter could have = Peter has more than twice ‘x’ so he must have at least 65 CDs

  21. QUESTION SEVEN • Paul bought some CDs in a sale. • He bought four times as many popular CDs as classical CDs. • The popular CDs, P, were $1.50 each. • The classical CDs, C, were 50 cents each. • He spent $52 altogether. • Solve these equations to find out how many classical CDs Paul bought.

  22. Solve these equations to find out how many classical CDs Paul bought. •  4C = P • 1.5P + 0.5C = 52

  23. Solve these equations to find out how many classical CDs Paul bought. •  4C = P • 1.5(4C)+ 0.5C = 52 • C = 8

  24. QUESTION EIGHT • James is five years old now and Emma is four years older. • Form a relevant equation and use it to find out how many years it will take until James’s and Emma’s ages in years, multiplied together, make 725 years. • Show all your working.

  25. QUESTION EIGHT • James is five years old now and Emma is four years older. • Form a relevant equation and use it to find out how many years it will take until James’s and Emma’s ages in years, multiplied together, make 725 years. • Add x to each age and then multiply • Show all your working.

  26. QUESTION EIGHT

  27. QUESTION EIGHT Answer is 20

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