1 / 27

Algebraic Equations and Problem Solving

This document contains a series of algebraic problems tailored for practice, including solving equations, expanding expressions, and age-related word problems. It covers various topics such as linear equations, simplification of expressions, and problem-solving strategies. Specifically, it features equations involving the values of CDs owned by Peter and Mary, calculations related to flowers printed on tablecloths by Mary, and the age relationship between James and Emma. Each question prompts the learner to apply algebraic methods to find the solutions.

cathy
Télécharger la présentation

Algebraic Equations and Problem Solving

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related