Standard Form Activity: Part 1

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Standard Form Activity: Part 1

Answer questions #1, #2 and #3 using the following graphs to lead you to the answers.

Graph #1 Graph #2 Graph #3 Graph #4 y-intercept = 5 y-intercept = -5 y-intercept = -4 y-intercept = 6

Coordinate (0 , 5) Coordinate (0 , -5) Coordinate (0 , -4) Coordinate (0 , 6)

1.

What is the value for x at the y-intercept? ___________

2.

Engage in a group discussion and use the graphs above to write a rule about how to write the y-intercept as a coordinate point when given a graph that has a distinct y-intercept on it.

3.

State each y-intercept and the coordinate point for each y-intercept from the graphs below.

Graph #1 Graph #2 Graph #3 y-intercept = _______

Coordinate = _______ y-intercept = _______

Coordinate = _______ y-intercept = _______

Coordinate = _______

Answer questions #4, #5 and #6 using the following graphs to lead you to the answers.

Graph #1 Graph #2 Graph #3 Graph #4 x-intercept = -3 x-intercept = -1 x-intercept = 6 x-intercept = 5

Coordinate (-3 , 0) Coordinate (-1 , 0) Coordinate (6 , 0) Coordinate (5, 0)

4.

What is the value for y at the x-intercept? ___________

5.

Engage in a group discussion and use the graphs above to write a rule about how to write the x-intercept as a coordinate point when given a graph that has a distinct x-intercept on it.

6.

State each x-intercept and the coordinate point for each x-intercept from the graphs below.

Graph #1 Graph #2 Graph #3 x-intercept = _______

Coordinate = _______ x-intercept = _______

Coordinate = _______ x-intercept = _______

Coordinate = _______

Look at the two columns below and use them to answer questions #7, #8, and #9.

Standard Form a b .

.

2

12 x

3

4 x y

10

2 y

Not Standard Form e f

.

.

2 y

( x

 y )

2 x

8

5 c d

.

.

5

3 x x

3

6 y y

17

12 g h .

.

4

1

2 y x

3 x

7 y

6

10

7.

From the equations above, engage in a group discussion to develop a rule that would define whether or not an equation is in standard form.

8.

Assume that the equation Ax

By

C is in standard form. Engage in a group discussion and use the equations from above to come up with a rule that must be true when describing the types of numbers A , B , and C should be.

9.

In the space provided write standard form if the equation is in standard form and not standard form if it isn’t.

2 x

5 y

7

_______________________________

2

3 x

7 y

_______________________________

12 x

3 y

9

_______________________________

5 x

8

 3

4 y

3 ( x

 y )

8

_______________________________

_______________________________

10.

For each equation, State if it is in Slope-intercept form, Standard form, or neither.

3 x

4 y

9

_______________________________

2 x

4

 y

_______________________________

5 y

3 x

2 y

_______________________________ y

12

3

4 x

_______________________________

3 x

6 y

_______________________________

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