Vocabulary
Writing Linear Functions
Slope
Modeling with Linear Functions
Simplifying and Solving
100
Linear Function
Linear functions are those whose graph is a straight line.
A linear function has one independent variable and one dependent variable.
100
Write a linear function in standard form where A=2 B=-4 and C=19
2x-4y=19
100
Find the slope of the function
f(x)=2/3x
2/3
100
Mr. Garvey gives out two pages of homework to every student. Write a linear equation to model the number of pages he has to print as a function of the number of students.
y=2x
100
Simplify 7 - 2(x + 4)
-2x - 1
200
y-intercept
The y intercept is the point where the line crosses the y axis. At this point x=0
200
Write a linear function with a slope of -9 and a y-intercept of 5
f(x)=-9x+5
200
Find the slope of a function where when the x-value is increased by 10, the y-value increases by 4
m = 2/5
200
Anthony is buying carrots and celery at the grocery store. The carrots cost $1.50 per pound and the celery costs $1.25 per pound. He has $10 to spend. Write a Standard Form Equation to represent.
1.5x+1.25y=10
200
Simplify -3x + 5 - 2(x + 7)
-5x - 9
300
Slope
the steepness of a graph
300
Write the linear function in this graph:
y=20x-15
300
What is the slope of the linear function
y = 14
0
300
Maria wants to buy oranges and bananas at the store. Let x= number of oranges and y= the number of bananas. Oranges are $5 a pound and bananas are $4 a pound. She has a total of $20 to spend. Write an equation in Standard Form
5x+4y=20
300
Solve 8(x + 2) = 5x + 16 + 3x
All Real Solutions
400
Slope-Intercept Form
=slope
=y intercept
400
Write a linear function that contains the points (0,2) and (-4,5).
f(x)=3/4x +2
400
Find the slope of a linear function that contains the points (-2.5 , 9) and (5 , -13.5)
m=(-13.5-9)/(5-(-2.5))=-22.5/7.5
m=-3
400
T-Mobile charges $100 a month for a family plan for four people, but that doesn't include the cost of the phone. Tiana buys a phone for $600 and splits the cost of the phone plan with her family of four. Write a function to show how much money she spends on her phone and plan (after splitting with her family) after m months.
f(m)=25m+600
400
Solve -3x < 12 - 4x
x < 12
500
Standard Form
A, B and C are numbers
500
What is the perpendicular slope to 3y – 2x = -11
-3/2
500
The table shows values for What is the slope for f(x)?
x -1 3 7 11
y -8 -5 -2 1
3/4
500
You are 12 miles away from home at school. You start walking home with your friends at a speed of 3 miles per hour. a) Write an equation that represents your distance from home (y) after (x) hours. b) What does the slope represent? c) y- intercept represent?
a. y=-3x + 12 b. 3 miles per hour c. 12 the starting distance from home
500
Solve -5(x - 2) < -3x + 6 - 2x
No Solution