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PINK

Pink Vocabulary

Definition / Example
Absolute Value Equation
Domain
Horizontal Line
Linear Equation
Parabola
Parallel Lines
Perpendicular Lines
Product
Quadratic Equation
Quotient
Range
Slope
Vertical Line
x-intercept
y-intercept

Lesson 10

Linear Equations Notes

Is an equation linear?

Example One

LinearNon-Linear

Example Two

Change the following equations to slope-intercept form by rearranging the terms on the right.

Ex 3: y = 4 – 3xEx 4: y = -2(x + 9)

Ex 5: y = x + 2Ex 6: y = -3x

7 9

Lesson 10

Linear Equations

DOK 1

1. Fill in the chart below:

EXAMPLE / LINEAR? (yes/no) / If no, why not?
x + 2y = 6
2x – y2 = 9
xy = 2
3x + y = 2 + z
2y = 4

Write each expression in the form ■x + ▲. For example, y= can be written as y =.

2. y = 7 – 2x3. y = 2(5 – 3x)

4. y = 5. y = -4(2x + 3)

6. y = 7. y =

8. y = 9. y =

Lesson 10

Linear Equations

10. Find the missing number that will yield four solutions of the equation
y = 2x – 5.

(3, ____)(____, -7)(, ____)(____, -3)

DOK 2

The formulas show how to calculate shoe sizes for men and women. S represents a shoe size, and L represents the length of a foot in inches.

Men’s shoes: S = 3L – 25

Women’s shoes: S = 3L – 22

11. Find the shoe size of a man whose feet are 12.5 inches long.

12. Humphrey Bogart wore size 10 shoes. How many inches were his

feet?

13. Greta Garbo’s shoe size was 7. How many inches were her feet?

14. From your shoe size calculate the length (in inches) of your feet.

Lesson 10

Linear Equations

15. Give the coordinates of three points in the third quadrant for which the
x-coordinate is twice the y-coordinate.

16. Give the coordinates of three points in the first quadrant for which the
x-coordinate is 2 more than the y-coordinate.

17. Find the coordinates of points A, B, and C on the line.

18. Find the coordinates of two more points on the line.

19. Describe the relationship between the x-coordinate

and the y-coordinate of the points found in #17 and #18.

Lesson 11

Graphing by Using a Table Notes

Example One

x / y

Example Two

x / y

Example Three

x / y

Lesson 11

Graphing by Using a Table Notes

Example Four

x / y

Example Five

x / y

Lesson 11

Graphing by Using a Table

DOK 1

Graph each equation using the TABLE function of your calculator:

1. y = x2. y = x – 4

3. y = 4. y =

5. y = 6. y = 2x2 + 3

Lesson 11

Graphing by Using a Table

7. If the point (x, y) lies on a line represented by 3x + y = 6, what is the
value of x when y = -9?

8. If the point (x, y) lies on a line represented by 2x – y = 8, what is the
value of y when x = -3?

9. If the point (m, n) lies on a line represented by 4m – 2n = 12, what is the
value of m when n = 4?

DOK 2

10. Find three pairs of numbers such that one of the numbers in each pair
is 6 more than twice the other number. Graph these three pairs of
numbers. Do they make a line?

Lesson 11

Graphing by Using a Table

11. Use the rule “y is half of x” to complete the table:
Graph the first 4 points. Do these points make a line?

12. Laverne accidentally tore up and threw away her homework. She found these fragments of tables and equations in the trash:

a) Help Laverne match her tables and equations.

b) Make a table for the fourth equation.

Lesson 12

Graphing by finding Intercepts Notes

x – intercepty - intercept

STANDARD FORM of a linear equation

Ax + By = C

Example One2x + 3y = 122x + 3y = 12

Example Two

x – 4y = 4

Lesson 12

Graphing by finding Intercepts Notes

Example Three

x + 3y = 0

Example Four

y = 2x2 - 2

Lesson 12

Graphing by finding Intercepts Notes

Example Five

y = 3/4x + 1

Example Six

Lesson 12

Graphing by finding Intercepts

DOK 1

Find the x- and y-intercepts of lines with these equations and graph them:

1. 4x + 5y = 202. 3x + 8y = 0

3. 9x + y = 94. 6x – 2y = -12

5. x – 2y = 86. y = 3x + 9

Lesson 12

Graphing by finding Intercepts

7. On a Cartesian coordinate plane draw the graph of the line whose

x-intercept is 3 and whose y-intercept is 2.

8. Which equation do you think best represents the line drawn in

problem 7?

A) 3x + 2y = 6B) 2x + 3y = 6C) x + y = 5D) x = y + 1

Given the graph, state the x- and y-intercept in each problem:

9. 10.

11.12.

Lesson 12

Graphing by finding Intercepts

DOK 2

13. Answer the following questions for the function

a) What is its domain?

b) What is its range?

c) When x is 2, what is y?

d) When x is 25, what is y?

e) Is the ordered pair (0, 1) a solution?

f) Is the ordered pair (5, 6) a solution?

g) What is the x-intercept?

h) What is the y-intercept?

.

14. Answer the following questions for the function

a) What is its domain?

b) What is its range?

c) When x is 2, what is y?

d) When x is 25, what is y?

e) Is the ordered pair (0, 1) a solution?

f) Is the ordered pair (5, 6) a solution?

g) What is the x-intercept?

h) What is the y-intercept?

15. Answer the following questions for the function

a) What is its domain?

b) What is its range?

c) When x is 2, what is y?

d) When x is 25, what is y?

e) Is the ordered pair (0, 1) a solution?

f) Is the ordered pair (5, 6) a solution?

g) What is the x-intercept?

h) What is the y-intercept?

Lesson 12

Graphing by finding Intercepts

Graph each line using the x- and y-intercept. Then state if the point (0,0) is above your line, below your line, or on your line.

16. -6x + 5y = 3017. 3x + 8y = -24

18. -6x – 3y = -1219. y = -x + 5

Lesson 13

Graphing Inequalities Notes

GRAPH AND SHADE EACH OF THE FOLLOWING:

Example OneExample Two

y < x + 4 y ≥ -4x + 7

Example ThreeExample Four

3x + 4y ≤ -12 2x – 3y < 6

Lesson 13

Graphing Inequalities

DOK 1

Graph each of the following inequalities using the TABLE function on your calculator. Make sure to shade!

1. y > x2. y ≥

3. y ≤ x – 44. y ≤

5. y > 2x2 + 36. y <

Lesson 13

Graphing Inequalities

Graph each of the following inequalities by using the x- and y-intercepts. Make sure to shade!

7. 4x + 3y ≥ -128. 7x + y ≤ 7

9. 3x + 8y > 010. 6x – 2y < -12

11. y < 3x + 912. x – 2y ≥ 8

Algebra One: Unit Three ~ Graphing desotocountyschools.org/shs Maggie Dennis & Karen Hatch