# Algebra I Chapter 4 - PowerPoint PPT Presentation

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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? 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

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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

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

Directions: Without plotting, identify the quadrant.

19. (5, -3)

21. (6, 17)

23. (-4, -2)

25. (-5, -2)

### Practice

Complete the following work on the given worksheet.

### Warm Up

• What is equation form?

• How do we rewrite a function to equation form?

-3x + y= 12

2x + 3y = 6

x + 4y = 48

### Re-teach

Directions: Partner with another person and complete the questions on the flashcard.

### Practice

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

Step 4- After you solve for x and y plot your points.

Step 5- Draw a quick line

### Re-teach

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 1Group 2Group 3

x + 3y = 5x – 2y = 62x + 6y=-24

3x + 4y = 125x – 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)

### Re-teach

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)

### 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.

Warm Up

Re-teach

### 13. y= 6x + 421. 12x +4y – 2 = 0

Practice

Graphing Equations-

Parallel lines- have the same slope

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

### Re-teach

Functions: Is it or isn’t it?

### Practice

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

Directions: Grab a flashcard split into two groups.

Solve problems 56-58 on flashcard.

### Practice

• Scatter Plots

• Linear Equations

• Quick graphs with intercepts

• Graphs using slope-intercept form

• Solving linear equations

• Slope of a line

• Direct Variation

• Functions