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

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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Page 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

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsPreviewPreview

7-1: The Coordinate Plane

7-2: Functions

7-3: Graphing Linear Equations

7-4: Graphing Quadratic Equations

7-5: Cubic Functions

7-6: Rate of Change and Slope

7-7: Finding Slope of a Line

7-8: Interpreting Graphs

7-9: Direct Variation

Lesson Quizzes

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

Holt CA Course 2

1-1 Evaluating Algebraic Expressions7-1 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); II2. B (3, –2); IV3. C (2, 3); I

Plot each point on a coordinate plane.

4. D (2, –3)

5. E (–4, –2)

B

AC

x

y

–2

–2

2

2–4

–4

4

4

–1–3–5 531

1

3

5

0

–3

–5

–1

DE

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

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

Page 4: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic Expressions7-2 Functions

Lesson Quiz: Part I

Find the output for each input: –2, 0, 2.

1. y = 3x + 3

2. y = –x2

–3, 3, 9

–4, 0, –4

Page 5: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson Quiz: Part Il

Determine if each relationship represents a function.

3.

4.

no

nox

y

2

2

-2

-2-4 4

4

-4

7-2 Functions

Page 6: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic Expressions7-3 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

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

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson 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 – 12xy

200

180

160

140

120

0 1 2 3 4 5

7-3 Graphing Linear Functions

Page 8: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic Expressions7-4 Graphing Quadratic Functions

Lesson Quiz: Part ICreate a table for the quadratic function, and use it to make a graph.

1. y = x2 – 2

Page 9: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson Quiz: Part II

Create a table for each quadratic function, and use it to make a graph.

2. y = x2 + x – 6

7-4 Graphing Quadratic Functions

Page 10: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic Expressions

Lesson Quiz: Part III

3. The function y = 40t – 5t2 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

Page 11: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic Expressions7-5 Cubic Functions

Lesson Quiz: Part ICreate a table for each cubic function, and use it to graph the function.

1. y = – x3

2. y = x3 – 3

1 2

Page 12: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson Quiz: Part Il

Tell whether each function is linear, quadratic, or cubic.

3.

4.

5.

quadratic

cubic

linear

7-5 Cubic Functions

Page 13: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic Expressions7-6 Rate of Change and Slope

Lesson Quiz: Part I

Determine whether the rates of change are constant or variable.

1.

2.

variable

x –1 1 2 4 8

y 2 6 8 10 14

x 1 3 4 5 7

y 0 2 3 4 6

constant

Page 14: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson 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

Page 15: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic Expressions7-7 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)

25

53–

Page 16: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson 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 10 12 14 0

10

20

30

40

50

60

7080

The slope of the line is 7. This means Susan earned $7 for each hour worked.

7-7 Finding Slope of a Line

Page 17: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic Expressions7-8 Interpreting Graphs

Lesson Quiz: Part I1. A ball is tossed into the air. Which graph best

shows this?

a. b.

a

Ele

vati

on

Time

Ele

vati

on

Time

Page 18: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson 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.

Dis

tan

ce (

m)

500

1,000

1,500

Time

7-8 Interpreting Graphs

Page 19: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

Holt CA Course 2

1-1 Evaluating Algebraic Expressions7-9 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) 1 2 3 4 5

Rain (in) 2 4 6 8 10

Driving Time

Speed (mi/h) 30 40 50 60 80

Time (h) 10 7.5 6 5 3.75

no direct variation

Page 20: Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1: The Coordinate PlaneThe Coordinate Plane 7-2: FunctionsFunctions 7-3: Graphing Linear

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