algebra i chapter 4
Download
Skip this Video
Download Presentation
Algebra I Chapter 4

Loading in 2 Seconds...

play fullscreen
1 / 32

Algebra I Chapter 4 - PowerPoint PPT Presentation


  • 101 Views
  • Uploaded on

Algebra I Chapter 4. Directions: Plot and label the following points. 4. A(4, -1) B (5, 0) 5. A (-2, -3) B (-3, -2). Warm Up . How do you plot an ordered pair? How do you write an ordered pair? What are quadrants? How do we name them? What is the origin? What is the vertical axis?

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Algebra I Chapter 4' - roden


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
warm up

Directions: Plot and label the following points.

4. A(4, -1) B (5, 0)

5. A (-2, -3) B (-3, -2)

Warm Up
re teach

How do you plot an ordered pair?

  • How do you write an ordered pair?
  • What are quadrants?
  • How do we name them?
  • What is the origin?
  • What is the vertical axis?
  • What is the horizontal axis?
Re-teach
practice

Directions: Plot and label the ordered pairs in a coordinate plane.

13. A (0,3) B (-2, 1) C (2, 0)

15. A (4, 1) B (0, -3) C (3, 3)

17. A (-4, 1) B (-1, 5) C (0, -4)

Practice
practice1

Directions: Without plotting, identify the quadrant.

19. (5, -3)

21. (6, 17)

23. (-4, -2)

25. (-5, -2)

Practice
re teach1

What is equation form?

  • How do we rewrite a function to equation form?

-3x + y= 12

2x + 3y = 6

x + 4y = 48

Re-teach
closure repeat

81. 5 + 2 + (-3)

83. -18 + (-10) + (-1)

91. 9x= 3

94. 24 = 8c

97. n/15 = 3/5

Closure ---REPEAT
re teach2

Finding x- intercepts and y-intercepts of the graph.

2x + 3y = 6

Solving for x.

Step 1- Write the original equation.

Step 2 – Substitute 0 in for y.

Step 3- Solve for x.

Re-teach
re teach3

Finding x- intercepts and y-intercepts of the graph.

2x + 3y = 6

Solving for y.

Step 1- Write the original equation.

Step 2- Substitute 0 for x.

Step 3- Solve for y.

Re-teach
practice3

Directions: Partner up and get a piece of construction paper.

Solve the problems for your group and create a poster of the steps on how to solve.

Group 1 Group 2 Group 3

x + 3y = 5 x – 2y = 6 2x + 6y=-24

3x + 4y = 12 5x – y = 45 -x + 3y = 27

Practice
warm up2

Directions: Plot the points, and draw a line through them. Explain whether the slope is positive, negative or undefined.

12. (6, 9) (4, 3)

17. (0, 0) (-5, 3)

19. (2, -2) (2, -6)

Warm Up
practice4

Directions: Use the slope formula to find the slope and graph the line.

21. (1, 5) (5, 2)

23. (0, -6) (8, 0)

29. (3, 6) (3, 0)

Practice
closure repeat1

45. 4b = 26 – 9b

51. 3x + 12 = 5(x + y)

Closure---REPEAT
re teach7
Re-teach

y= kx (model for direct variation)

To Find the constant of variation and the slope.

Ex: y=-5x (0,0) (1,2)

Step 1- Plug the number (-5) in for k. The constant of variation is k=-5

Step 2- Use the slope formula to find the slope.

practice5

12. y=3x

13. -2/5x

15. y=-3x

Practice
re teach8

Examples: Variables x and y vary directly.

x=5; y =20

  • Write an equation that relates x and y.
  • Find the value of y when x = 10

Step 1- Write the model for direct variation.

Step 2- Substitute 5 in for x and 20 in for y.

Step 3- Solve.

Step 4- Substitute 10 in for the value of x.

Re-teach
slope intercept form y mx b slope is m y intercept is b y is different than the y intercept
Slope-Intercept Form: y = mx + bSlope is mY intercept is b *** Y IS DIFFERENT THAN THE Y INTERCEPT***

Re-teach

re teach9

Graphing Equations-

Parallel lines- have the same slope

Perpendicular lines- have a different slope but the same y intercept

Re-teach
re teach10

f(x)

g(x)

h(x)

What do they mean?

21. g(x) = 8x -2 ; x =2, 2 = 0, x = -3

Re-teach
practice7

f(x)

g(x)

h(x)

Directions: Solve the function.

23. g(x) = 1.25x; x =2, 2 = 0, x = -3

27. 2/5x + 7

Practice
review functions

Directions: Graph the function.

32. f(x) = -2x + 5

34. h(x) = 5x – 6

38. f(x) 4x + 1

Review--Functions
review chapter test

Scatter Plots

  • Linear Equations
  • Quick graphs with intercepts
  • Graphs using slope-intercept form
  • Solving linear equations
  • Slope of a line
  • Direct Variation
  • Functions
Review Chapter Test
ad