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CCGPS Coordinate Algebra

CCGPS Coordinate Algebra. EOCT Review Units 1 and 2. Unit 1: Relationships Among Quantities. Key Ideas. Unit Conversions. A quantity is a an exact amount or measurement. A quantity can be exact or approximate depending on the level of accuracy required. Examples :

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CCGPS Coordinate Algebra

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  1. CCGPS Coordinate Algebra EOCT Review Units 1 and 2

  2. Unit 1: Relationships Among Quantities Key Ideas

  3. Unit Conversions • A quantity is a an exact amount or measurement. • A quantity can be exact or approximate depending on the level of accuracy required. Examples: 1 - Convert 5 miles to feet. 2 – Convert 50 lbs. to grams. 3 -Convert 60 miles per hour to feet per minute.

  4. Ex 1: Convert 5 miles to feet. • 1 mile = 5280 feet

  5. Ex: 2 Convert 50 grams to pounds

  6. Ex: 3 Convert 60 miles per hour to feet per minute.

  7. Expressions, Equations & Inequalities • Arithmetic expressions have numbers and operation signs. • Algebraic expressions have one or more variables. • The parts separated by addition or subtraction signs are called terms. • Coefficients are the numbers in front of variables

  8. Example: 4x2 +7xy – 3 • How many terms • What are the coefficients • What are the varibles • What is the constant

  9. Example:The Jones family has twice as many tomato plants as pepper plants. If there are 21 plants in their garden, how many plants are pepper plants?

  10. Example:Find 2 consecutive integers whose sum is 225. • How should we approach the solution to this equation?

  11. Example:A rectangle is 7 cm longer than it is wide. Its perimeter is at least 58 cm. What are the smallestpossible dimensions for the rectangle? • How should we approach the solution to this equation?

  12. Create the equation of the line for the table. a)

  13. Create the equation of the line for the table.

  14. Exponential Word Problem: Ryan bought a car for $20,000 that depreciates at 12% per year. His car is 6 years old. How much is it worth now?

  15. Solving Exponential Equations

  16. Solve the exponential equation: a) b)

  17. Unit 2: Solving Systems of Equations Key Ideas

  18. Example Solve the equation 8(x + 2) = 2(y + 4) for y.

  19. Example Karla wants to save up for a prom dress. She figures she can save $9 each week from the money she earns babysitting. If she plans to spend up to $150 for the dress, how many weeks will it take her to save enough money?

  20. Example • This equation can be used to find h, the number of hours it takes Bill and Bob to clean their rooms. • How many hours will it take them?

  21. Example • You are selling tickets for a basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450. • Use a system of linear equations to determine how many student tickets you sold?

  22. Example You sold 52 boxes of candy for a fundraiser. The large size box sold for $3.50 each and the small size box sold for $1.75 each. If you raised $112.00, how many boxes of each size did you sell? A. 40 large, 12 small B. 12 large, 40 small C. 28 large, 24 small D. 24 large, 28 small

  23. Example You sold 52 boxes of candy for a fundraiser. The large size box sold for $3.50 each and the small size box sold for $1.75 each. If you raised $112.00, how many boxes of each size did you sell? You sold 61 orders of frozen pizza for a fundraiser. The large size sold for $12 each and the small size sold for $9 each. If you raised $660.00, how many of each size did you sell? A. 24 large, 37 small B. 27 large, 34 small C. 34 large, 27 small D. 37 large, 24 small

  24. Example Which equation corresponds to the graph shown? • A. y = x + 1 • B. y = 2x + 1 • C. y = x – 2 • D. y = 3x

  25. Example Which graph would represent a system of linear equations that has no common coordinate pairs? A B C D

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