Unit 4 Functions Review

What could this be?

100

Which of the following is a linear function?

A: (2, 5), (1, 3), (0, 1), (1, -1), (2, -3)

B:  (-1, 6), (-3, 5), (-6, 2), (-9, 1) (-12, 0) 

A

200

Which set of ordered pairs satisfies a linear function?

A: (5,1) (4,4) (3,9) (2,16) (1,25)

B: (1,-5) (2,-3) (3,-1) (4,1) (5,3)

Set B

300

What is a four letter word for another name for Christmas? 

Yule

400

How many home alone movies are there?

Oh and what does the slope represent?

5

Steepness of a line

500

What does each letter represent in the formula for slope intercept form?

y = mx + b

y = output

x = input

m = slope

b = y-intercept

X and Y intercepts

100

Use the intercepts to graph the line described by each equation.

3x + 2y = -6

Hopefully you got this correct!

200

Graph

x - 4y = 4

Use chart paper to help

300

Graph

-3x + 6y = 24

Use graph paper

400

At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x + 1.5y = 30 describes the number of hamburgers and hot dogs a family can buy with $30. Find the intercepts.

x int: 10

y int: 20

500

Jennifer started with $50 in her savings account. Each week she withdrew $10. The amount of money in her savings account after x weeks is represented by the function f(x) = 50 - 10x. Find the intercepts.

x intercept: 5

y intercept: 50

slope intercept form

100

Write the equation in slope intercept form for.

m = 3/4

b = 3

y = 3/4x + 3

200

Write the equation in slope intercept form.

3x + 12 = 3y

y = x + 4

300

Find the slope of the line that contains each pair of points.

(2,8) and (1,-3)

-11/-1

11

400

Write the equation in slope intercept form from the given points.

(-5,0) (0,2)

y = 2/5 x + 2

500

Find the slope of the line described by each equation and graph.

3x + 4y = 24

y = -3/4x + 6

Point Slope form

100

Write an equation in point-slope form.

slope = 3, (-4,2)

y - 2 = 3(x + 4)

200

Graph y + 2 = -2/3(x - 6)

Noice Job

300

Write the equation in point slope form.

Slope= 5; (1,7)

y - 7 = 5(x - 1)

400

Write equation in point-slope form for the line.

(0, 2), (2, 6).

y - 2 = 2(x - 0)

y - 2 = 2x

500

Write the equation that describes the line in point slope form.

(2,1) and (0,-7) are on the line.

y - 1  = 4(x - 2)

Parallel and Perpendicular lines

100

Write the linear equation that is parallel to this line that goes through the ordered pair. Write your answer in slope intercept form.

y = 3x - 5; (1, 3)

y - 3 = 3(x - 1)

y = 3x 

200

Write the linear equation that is parallel to this line that goes through the ordered pair. Write your answer in slope intercept form.

y = ⅓x - 3; (6, 8)

y - 8 = ⅓(x - 6)

y = ⅓x + 4

300

Write the linear equation that is perpendicular to this line that goes through the order pair. Write your answer in slope intercept form.

y = -½x - 2; (1, 4)

y - 4 = 2(x - 1)

y = 2x + 2

400

Write the linear equation that is perpendicular to this line that goes through the order pair. Write your answer in slope intercept form.

y = ⅛x + 4; (0, -1)

y + 1 = -8(x - 0)

y = -8x -1

500

What are the 4 different equations of a line that we have worked with in this unit?

slope intercept form: y = mx + b

point slope form: y - y₁ = m(x - x₁)

standard form: Ax + By = C

Direct Variation: y = kx