Algebra I Chapter 4

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# Algebra I Chapter 4 - PowerPoint PPT Presentation

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?

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### 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?
• How do we name them?
• What is the origin?
• What is the vertical axis?
• What is the horizontal axis?
Re-teach

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

Directions: Without plotting, identify the quadrant.

19. (5, -3)

21. (6, 17)

23. (-4, -2)

25. (-5, -2)

Practice

What is equation form?

• How do we rewrite a function to equation form?

-3x + y= 12

2x + 3y = 6

x + 4y = 48

Re-teach

81. 5 + 2 + (-3)

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

91. 9x= 3

94. 24 = 8c

97. n/15 = 3/5

Closure ---REPEAT

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

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

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

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

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

45. 4b = 26 – 9b

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

Closure---REPEAT
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.

12. y=3x

13. -2/5x

15. y=-3x

Practice

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 + bSlope is mY intercept is b *** Y IS DIFFERENT THAN THE Y INTERCEPT***

Re-teach

Graphing Equations-

Parallel lines- have the same slope

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

Re-teach

f(x)

g(x)

h(x)

What do they mean?

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

Re-teach

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

Directions: Graph the function.

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

34. h(x) = 5x – 6

38. f(x) 4x + 1

Review--Functions

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