Solve for x
Slope & Y-intercept
Functions
Linear vs. Nonlinear
Miscellaneous
100
Solve the equation y = 3x - 6 when x= -2
y = 3(-2) - 6 = -6 - 6 = -12
y = -12
100
What are two (2) other words/phrase used to describe "slope" ?
Rate of change, rise over run, constant rate, change in y over change in x, etc.
(answers may vary)
100
Is this a function?
No (one input has more than 1 output)
100
What is the key difference between a linear function and a nonlinear function?
Linear means a straight line, nonlinear means not a straight line.
(answers may vary)
100
Write an equation in slope intercept form
m=-4
b=5
y=-4x+5
200
Solve the equation y = 2x - 1.5 when x = 3
y = 2(3) - 1.5 = 6 - 1.5 = 4.5
y = 4.5 or 9/2
200
If slope is -2 and y-intercept is -1, what is the equation in slope intercept (y=mx+b) form?
y = -2x -1
200
Am I a function?
YES it is a function! NO input values repeat.
200
List the input and output values for this set of points.
(0, 2) (1, 5) (2, 8) (3, 11) (4, 14) (5, 17)
Inputs: 0, 1, 2, 3, 4, 5
Outputs: 2, 5, 8, 11, 14, 17
200
Name the three kinds of transformations we covered earlier this year.
Translation, Rotation, and Reflection
(Dilation also counts)
300
The amount of money e, in dollars, a mail carrier earns to deliver mail to h houses each day is modeled by the function e = 3h + 200
What are the rate of change and initial value of the function? Enter the answers.
Rate of change = slope = 3
Initial value = y-intercept = 200
300
Ryan mows lawns in the summer. He charges $15 for every 1/2 hour of mowing.
Enter the equation modeling the amount Ryan charges for x half-hour sessions of mowing. (y= mx + b)
y = 15x
300
Does the table depict a linear or non-linear function?
Non-linear function
300
Does the set of points represent linear or nonlinear function?
(0, 2) (1, 5) (2, 8) (3, 11) (4, 14) (5, 17)
Linear function
300
Simplify
-5(-2)+(-3)+10(-2)
-13
400
The amount of money e, in dollars, a mail carrier earns to deliver mail to h houses each day is modeled by the function e = 3h + 200
What do the rate of change and initial value represent?
Rate of change represents $3 per house earned
Initial value represents a starting pay fee at $200
(answers may vary)
400
Given the following points, what is the initial value?
(-5, 0) (0, 1) (5, 2) (10, 3)
Initial value = 1
400
(2, 2), (3, 1), (5, 7), (8, 0), (9, 1), (-2,3), (2,6)
Do these ordered pairs represent a function?
NO, the input value 2 is paired with the output value 2 and the output value 6.
(2, 2) and (2, 6)
400
Which situation represents a nonlinear function?
(Multiple choice question, one correct answer)
A) Jimmy is 50 miles from his home and driving 20 miles per hour on an electric scooter.
B) There are 2 water lilies in a pond on Day 1, 4 on Day 2, 8 on Day 3, and 16 on Day 4.
C) investor puts $600 into an account and then adds $100 per week.
D) A book has 650 pages and Billy reads 20 pages each night.
B) There are 2 water lilies in a pond on Day 1, 4 on Day 2, 8 on Day 3, and 16 on Day 4.
(1, 2) (2, 4) (3, 8) (4, 16)
400
Simplify
2(3x - 2y + 5)
6x - 4y +10
500
The equation c=35 + 0.05m describes the relationship between the cost "c" in dollars for "m" minutes used in a cell phone plan.
What is the total cost of the cell phone plan if a customer talks for 20 minutes?
c = 35 + 0.05(20)
c = 35 + 1.00, so the total cost c=36
500
Employees at a car dealership earn commission for each car they sell in addition to a weekly salary. One week, an employee sells 5 cars and makes $1,700. A second employee sells 6 cars and makes $1,940.
Write an equation in slope-intercept form for the amount of money y an employee will make for selling x number of cars in a week.
y = 240x + 500
500
Is this a function and why?
No, because there are two points where x=8.
Or No, because it does not pass the vertical line test
500
Determine whether the function y=x2+x−2 is linear or nonlinear. Explain your reasoning.
It is Nonlinear because the highest exponent is x2
500
What is the slope of the line that goes through the points (2, 5) and (5, 11) ?
Slope = m = change in y over change in x
m = (11-5) / (5-2) = 6/3 = 2/1 = 2
m = 2