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90147

90147. Algebra. QUESTION ONE . Solve these equations: . QUESTION ONE . Solve these equations: . 13x - 5 = 8x + 3 . 13x - 5 = 8x + 3 . QUESTION TWO . Expand and simplify: . QUESTION THREE . Factorise completely: x 2 - 2x - 8 . QUESTION THREE . Factorise completely:

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90147

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  1. 90147 Algebra

  2. QUESTION ONE • Solve these equations:

  3. QUESTION ONE • Solve these equations:

  4. 13x - 5 = 8x + 3

  5. 13x - 5 = 8x + 3

  6. QUESTION TWO • Expand and simplify:

  7. QUESTION THREE • Factorise completely: • x2 - 2x - 8

  8. QUESTION THREE • Factorise completely: • x2 - 2x - 8

  9. QUESTION FOUR • The diagram shows a design made with 5 rows of small squares . The number of small squares, S, in the design is given by the formula: • where R is the number of rows of small squares in the design.Calculate the number of small squares, S, for a similar design that has 11 rows of small squares.

  10. QUESTION FOUR • The diagram shows a design made with 5 rows of small squares . The number of small squares, S, in the design is given by the formula: • where R is the number of rows of small squares in the design.Calculate the number of small squares, S, for a similar design that has 11 rows of small squares.

  11. QUESTION FOUR • The diagram shows a design made with 5 rows of small squares . The number of small squares, S, in the design is given by the formula: • where R is the number of rows of small squares in the design.Calculate the number of small squares, S, for a similar design that has 11 rows of small squares.

  12. QUESTION FIVE • Simplify:

  13. QUESTION FIVE • Simplify:

  14. QUESTION SIX

  15. QUESTION SIX Solve the equation 225 = (x + 8)2, to find x, the length of the side of the pool.

  16. QUESTION SIX It can’t be negative

  17. QUESTION SEVEN • Mr Smith spends $1210 on 1390 square tiles to use on the bathroom floor. He buys S small tiles for 80 cents each and B big tiles for $1.50 each. • Solve the pair of simultaneous equations to find the number of tiles of each size that Mr Smith bought.

  18. Use calculator • 0.8S + 1.5B = 1210 • S + B = 1390 • S = 1250 • B = 140

  19. QUESTION EIGHT • One integer is 5 more than twice another integer.The squares of these two integers have a difference of 312. • Write at least ONE equation to describe this situation, and use it to find the TWO integers. Show all your working.

  20. Let 1 integer be x • One integer is 5 more than twice another integer.2x + 5 • The squares of these two integers have a difference of 312.

  21. Let 1 integer be x

  22. X is an integer so 7 and 19

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