Algebra 2 Linear Equations Test

Domain/Range/Functions

100

List the domain of this function:

{(-7,1), (-3,0), (-2,-1), (4,7), (6,4)}

D:{-7, -3, -2, 4, 6}

200

List the range of this function:

{(-7,1), (-3,0), (-2,-1), (4,7), (6,4)}

R:{1, 0, -1, 7, 4}

300

How do we identify whether or not a set of ordered pairs is a function?

If there is a repeating x-value, it is not a function.

400

Is the following set of ordered pairs a function:

{(-7,1), (-3,0), (-2,-1), (4,7), (6,4)}

Yes

500

Whenever we represent domain and range with 2 boxes and arrows connecting each domain to its range value, what is that type of diagramming called?

mapping

X and Y Intercepts

100

What is the x and y intercept of the following equation:

2x + 3y = 6

(3,0) and (0, 2)

200

What is the x and y intercept of the following equation:

-2x - 4y = -8

(4,0) and (0,2)

300

What is the x and y intercept of the following equation:

x + 10y = 5

(5,0) and (0, 1/2)

400

What is the x and y intercept of the following equation:

y = 3x - 4

(4/3, 0), (0, -4)

500

What are intercepts?

Where a point crosses either the x or y axis.

Graphing

100

How would you graph an equation using slope-intercept form?

1. Plot your y-intercept(b).

2. Use your slope(m) to find/plot your next points.

200

Describe with your words how you would graph the following equation:

y = 2x + 2

Plot 2 on the y axis, the go up two over one to the right because the line is positive.

300

Describe with your words how you would graph the following equation:

y = 1/3x - 4

Plot -4 on the y axis, then go up one over three to the right because the slope is positive. 

400

Describe how you would graph the line:

y = -3x + 5

Plot 5 on the y axis, the go up 3 over one to the left because the slope is negative. 

500

True or False: This equation will have a negative slope: 2x - 3y = 6

False

Writing Linear Equations

100

Write the equation of the line:

(2, -4); m = -1

y = -x - 2

200

Write the equation of the line:

(3, 1); m = 1/2

y = 1/2x - 1/2

300

Write the equation of the line:

(2, 1), (-1 , 4)

y = -x + 3

400

Write the equation of the line:

(2, 2), (2, 2)

y = 2

500

When there is a vertical line on a graph, what is its slope?

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Distance and Midpoint

100

Find the distance and midpoint of the following points:

(-6, 1), (-3, 1)

d = 3; M = (-9/2, 1)

200

Find the distance and midpoint of the following points:

(6, 3), (-2, -3)

d = 10; M= (2, 0)

300

Find the distance and midpoint of the following points:

(4, 3), (-3, 6)

d = sqr58; M= (-1/2, 9/2)

400

Find the distance and midpoint of the following points:

(-7, -1), (-2, -4)

d = sqr34; M= (-9/2, -5/2)

500

Close your eyes and tell me the distance formula from memory.

good job