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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)

- 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?

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)

Directions: Without plotting, identify the quadrant.

19. (5, -3)

21. (6, 17)

23. (-4, -2)

25. (-5, -2)

Complete the following work on the given worksheet.

- What is equation form?
- How do we rewrite a function to equation form?
-3x + y= 12

2x + 3y = 6

x + 4y = 48

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

81. 5 + 2 + (-3)

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

91. 9x= 3

94. 24 = 8c

97. n/15 = 3/5

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.

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.

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

Step 5- Draw a quick line

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

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)

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)

45. 4b = 26 – 9b

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

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

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

Practice

Graphing Equations-

Parallel lines- have the same slope

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

Functions: Is it or isn’t it?

f(x)

g(x)

h(x)

What do they mean?

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

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

Directions: Graph the function.

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

34. h(x) = 5x – 6

38. f(x) 4x + 1

Directions: Grab a flashcard split into two groups.

Solve problems 56-58 on flashcard.

- Scatter Plots
- Linear Equations
- Quick graphs with intercepts
- Graphs using slope-intercept form
- Solving linear equations
- Slope of a line
- Direct Variation
- Functions