Transformations
Find the Slope
Make an Equation
Give an X and a Y
Potpourri
100
Identify the transformation.
Reflection
100
What is the slope?
y = 2x + 10
The slope is 2
100
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
C = 5h + 3
100
Find an X and Y value that make the following equation true.
y = x - 5
Possible Answers:
(5, 0)
(6, 1)
(10, 5)
100
Identify the new image coordinates after the transformation.
H(−1, −2), A(−2, 2), W(2, 2)
Dilation with a scale factor of 2
H’(-2, -4), A’ (-4, 4), W’(4, 4)
200
Identify the transformation.
Dilation
200
What is the slope of the line with the following points?
(10, 60) and (20, 90)
The slope is 3/1 or 3
200
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.
y = 30x + 20
200
Find an X and Y value that make the following equation true.
y = 1/4x + 6
Possible Answers:
(4, 7)
(8, 8)
(12, 9)
200
Write the FULL rule to describe the transformation between the original and image coordinates.
Rotation 90 degrees clockwise
OR
Rotation 270 degrees counterclockwise
300
Identify the new image coordinates after the transformation.
S(−3, 3), C(−1, 4), W(−2, −1)
Translation: 6 units right and 3 units down
S'(3, 0), C'(5, 1), W'(4, −4)
300
What is the slope of the line in the following graph?
The slope is 5/4
300
Tim buys a new computer for his office for $1200. Each year his computer depreciates (loses value) by $200. Write a linear equation to model the value of the computer over time. Let y be the depreciated value of the computer after x years.
y = 1200 - 200x
300
Find an X and Y value that make the following equation true.
2x - 5y = 15
Possible Answers:
(10, 1)
(15, 3)
(20, 5)
300
The slope of the line that passes through the points (−2, y) and (−5, 7) is -2/3. What is the value of y?
y = 4
400
Write the FULL rule to describe the transformation between the original and image coordinates.
Rotation of 180 degrees about the origin
400
What is the slope of the line in the following graph?
The slope is -1/2
400
Betsy works as waitress. Today she worked an 8 hour shift, and was paid $ 92.00. Write an equation to represent the relationship between the number of hours Betsy works and the amount of money she makes. Be sure to specify what your variables mean.
y = $11.50x
Where x is the number of hours she works, and y is the amount of money she makes.
400
Find an X and Y value that make the following equation true.
x = 2/5y + 1
Possible Answers:
(1, 0)
(5, 10)
(7, 15)
400
True or False:
The table below shows the same rate of change of y with respect to x as y = −1 + 4x.
True, the slope (i.e., rate of change) for the equation and the table are both 4.
500
Identify the Image Coordinates After a Sequence of Transformations.
A(4,12), B(-2,-16), C(8,-4)
Dilation with a scale factor of ¼, then a reflection across the x-axis.
A”(1,-3), B”(-½,4), C”(2,1)
500
Look at the following two tables. Which table contains the points of a line with the GREATER slope?
Table A
Table B
Table B has the greater slope.
(Slope of A = 2, Slope of B = 3)
500
A Pizza restaurant offers the following deals:
Deal #1: $8.99 for on large pizza and $5 for each additional large pizza on the same order
Deal#2: $6.00 per large pizza
At what number of pizzas does Deal #1 become a better deal?
Deal #1 is a better deal when you buy at least 4 pizzas.
Equations:
Deal #1: y = 8.99 + 5(x-1)
Deal #2: y = 6x
500
Find an X and Y value that make the following equation true.
(1/3x + 2/3x) + (3/4y + 1/4y) = 10
Possible Solutions:
(5, 5)
(6, 4)
(3, 7)
500
What are an X and Y value that would make BOTH equations below true?
y = 4x - 3
y = -2x + 9
(2, 5)