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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear.

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Presentation on theme: "Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear."— Presentation transcript:

1 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear EquationsGraphing Linear Equations 7-4: Graphing Quadratic EquationsGraphing Quadratic Equations 7-5: Cubic FunctionsCubic Functions 7-6: Rate of Change and SlopeRate of Change and Slope 7-7: Finding Slope of a LineFinding Slope of a Line 7-8: Interpreting GraphsInterpreting Graphs 7-9: Direct VariationDirect Variation Lesson Quizzes

2 Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-1 The Coordinate Plane Lesson Quiz: Part I Give the coordinates of each point and identify the quadrant that contains each point. 1. A(–2, 4); II 2. B(3, –2); IV 3. C (2, 3); I Plot each point on a coordinate plane. 4. D (2, –3) 5. E (–4, –2) B A C x y –2 2 2 –4 4 4 –1 –3 –5 5 3 1 1 3 5 0 –3 –5 –1 D E

3 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part II 6. To plot (7, –2) a student started at (0, 0) and moved 7 units left and 2 units down. What did the student do wrong? He should have moved 7 units right. 7-1 The Coordinate Plane

4 Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-2 Functions Lesson Quiz: Part I Find the output for each input: –2, 0, 2. 1. y = 3x + 3 2. y = –x 2 –3, 3, 9 –4, 0, –4

5 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part Il Determine if each relationship represents a function. 3. 4. no x y 2 2 -2 -4 4 4 7-2 Functions

6 Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-3 Graphing Linear Functions Lesson Quiz: Part I Graph the linear functions. 1. y = 3x – 4 2. y = –x + 4 3. y = 2 y = 3x – 4 y = –x +4 y = 2

7 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part II 4. The temperature of a liquid is decreasing at a rate of 12°F per hour. Susan begins measuring the liquid at 200°F. Write a linear function that describes the change in temperature over time. Then make a graph to show the temperature over 5 hours. y = 200 – 12x 7-3 Graphing Linear Functions

8 Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-4 Graphing Quadratic Functions Lesson Quiz: Part I Create a table for the quadratic function, and use it to make a graph. 1. y = x 2 – 2

9 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part II Create a table for each quadratic function, and use it to make a graph. 2. y = x 2 + x – 6 7-4 Graphing Quadratic Functions

10 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part III 3. The function y = 40t – 5t 2 gives the height of an arrow in meters t seconds after it is shot upward. What is the height of the arrow after 5 seconds? 75 m 7-4 Graphing Quadratic Functions

11 Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-5 Cubic Functions Lesson Quiz: Part I Create a table for each cubic function, and use it to graph the function. 1. y = – x 3 2. y = x 3 – 3 1212

12 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part Il Tell whether each function is linear, quadratic, or cubic. 3. 4. 5. quadratic cubic linear 7-5 Cubic Functions

13 Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-6 Rate of Change and Slope Lesson Quiz: Part I Determine whether the rates of change are constant or variable. 1. 2. variable x–11248 y2681014 x13457 y02346 constant

14 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part II 3. Find the slope of the line. 3 4. Find the value of a. –4 7-6 Rate of Change and Slope

15 Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-7 Finding Slope of a Line Lesson Quiz: Part I Find the slope of the line that passes through each pair of points. 1. (4, 3) and (–1, 1) 2. (–1, 5) and (4, 2) 2 55 3 –

16 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part II 3. The table shows how much money Susan earned as a house painter for one afternoon. Use the data to make a graph. Find the slope of the line and explain what it shows. x y 64 2 8 101214 0 10 20 30 40 50 60 70 80 The slope of the line is 7. This means Susan earned $7 for each hour worked. 7-7 Finding Slope of a Line

17 Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-8 Interpreting Graphs Lesson Quiz: Part I 1. A ball is tossed into the air. Which graph best shows this? a.b. a Elevation Time Elevation Time

18 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part II 2. Sam in-line skated 1000 m from his home to the park, where he rested on a bench. He then returned home. Sketch a graph to show the distance he in-line skated compared to time. Distance (m) 500 1,000 1,500 Time 7-8 Interpreting Graphs

19 Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-9 Direct Variation Lesson Quiz: Part I Determine whether the data sets show direct variation. 1. 2. direct variation Amount of Water in a Rain Gauge Time (h)12345 Rain (in)246810 Driving Time Speed (mi/h)3040506080 Time (h)107.5653.75 no direct variation

20 Holt CA Course 2 1-1 Evaluating Algebraic Expressions Lesson Quiz: Part II 3. Roy’s income varies directly with the number of dogs that he walks. He earned $8.50 for walking 2 dogs. Write a direct variation function for this situation. If Roy walks 5 dogs, how much will he earn? y = 4.25x; $21.25 7-9 Direct Variation


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