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Chapter 3 Review

Chapter 3 Review. Advanced Algebra. Write a System of Equations and Solve. You buy 5 pairs of socks for $19. The wool socks cost $5 per pair and the cotton socks cost $3 per pair. How many of each kind of sock did you purchase?. 5 pairs: $19 Wool: $5 Cotton: $3. Substitution.

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Chapter 3 Review

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  1. Chapter 3 Review Advanced Algebra

  2. Write a System of Equations and Solve You buy 5 pairs of socks for $19. The wool socks cost $5 per pair and the cotton socks cost $3 per pair. How many of each kind of sock did you purchase?

  3. 5 pairs: $19 Wool: $5 Cotton: $3 Substitution Elimination

  4. Write a System of Equations and Solve At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold?

  5. Cone: $1.10 172 conesSundaes: $2.35 $294.20 Substitution Elimination

  6. How many solutions does each graph have? Name at least one solution. 1. 2. 3.

  7. Answers to Graphs: • 1. Infinite Solutions • Solution: Examples (1,2) or (0,-2) • 2. One Solution • Solution: (-1,1) • 3. No Solutions • Solution: None

  8. Solve the systems by substitution or elimination methods 1. 2. 3.

  9. Solve the systems answers: 1. Elimination 2. Substitution 3. Elimination No Solution

  10. Solve Systems of Inequalities by Graphing 1. 2. Give at least three ordered pairs that are solutions to these systems of inequalities.

  11. Solutions: 1. 2. Examples: (0,2), (3,0), (4,2) Examples: (0,1), (2,1), (4,0)

  12. Solve Systems of Inequalities by Graphing 4. 3. Give at least three ordered pairs that are solutions to these systems of inequalities.

  13. Solutions: 3. 4. Examples: (0,2), (1,0), (0,-2) Examples: (0,0), (-2,0), (-2,2)

  14. Write a System of Inequalities and Graph. You are buying blue and red pens for your classroom. You need at most 15 pens. Because of grading you need at least 6 red pens and at least 3 blue pens.

  15. At MOST15 pens at LEAST 6 red at LEAST 3 blue Blue Pens Red Pens

  16. Write a System of Equations and Solve Using Elimination or Substitution You are 7 ft tall and are growing 2 inches per year. Your friend is 9 ft tall but is shrinking 1 inch per year. How long until you are the same height.

  17. 7 ft tall=84 inches +2 in9 ft tall=108 inches -1 in h=height y=years It will take 8 years for them to be the same height.

  18. Write a System of Equations and Solve Using Elimination or Substitution You are ordering softballs for two softball leagues. The size of a softball is measured by its circumference. The Pony League uses an 11 inch softball priced at $3.50. The Junior League uses a 12 inch softball priced at $4.00. The bill smeared in the rain, but you know the total was 80 softballs for $305. How many of each size did you order?

  19. Pony League: $3.50 80 softballsJunior League: $4 $305 p=Pony League j=Junior League You bought 30 Pony League softballs and 50 Junior League softballs.

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