Linear Functions
Function Notation
Systems of Linear Equations
Linear Inequalities
Story Problems
100
Find the slope and y-intercept.
y=4x+7
m = 4
b = 7
100
Evaluate f(x) = 4x -7 when
x = 5 and x = 0
f(5) = 13 and f(0) = - 7
100
Solve the system of equations
y=x-3
y=-x+1
(2,-1)
100
Graph the linear inequality.
y > 4x + 1
Check graph
100
The function C(x) = 12x + 40 represents the cost of a lawn service for x hours of work.
How much would 8 hours of work cost?
$136
200
Write an equation in slope intercept form
m = 5 b = -4
y= 5x - 4
200
Evaluate f(x) = -2x + 4 when
x = 5 and x = - 3
f(5) = - 6 and f(-3) = 10
200
Solve the system of equations
y=1-x
-2x+y=4
(-1,2)
200
Write an inequality for this linear inequality.
y > 1/2 x + 1
200
The function C(x) = 12x + 40 represents the cost of a lawn service for x hours of work.
How many hours of work would you get for $100?
5 hours
300
Write an equation in slope intercept form
Goes through (0,4) and (5,6)
y=(2/5)x+4
300
For f(x) = 5x - 4
Find the value of x for f(x) = 1
x = 1
300
Solve the system of equations
-2x+2y=-2
2x+y=5
(2,1)
300
Name 2 points that are solutions to this inequality.
Teacher must check
300
At the beginning of the month Marty begins spending money at a rate of $5 per day.
After 14 days he still has $68 left.
How much money did Marty have at the beginning of the month?
$138
400
Write an equation in slope intercept form
Goes through (-2,-3) and (2,5)
y = 2x+1
400
For f(x) = - 7x + 6
Find the value of x for f(x) = - 57
x = 9
400
Solve the system of equations
x-4y=-3
4x+y=5
(1,1)
400
Graph the system of linear inequalities.
y > 1/2 x - 2
y < - 2x + 1
Teacher must check
400
A group of 3 adults and 2 children pay $44 for a movie. Another group of 2 adults and 4 children pay $48 total.
Find the cost of each type of ticket.
adult $10
child $7
500
Write a linear function that has the following values.
f(2) = 5 and f(-2) = 1
f(x) = x + 3
500
For f(x) = 1/2 x + 8
Find the value of x for f(x) = 16
x = 16
500
Solve the system of equations
2x+3y=5
4x+6y=-10
No Solution
500
Write a system of linear inequalities for the picture.
y < x
y > - 2
500
Sam sold coffee and tea at a football game. Coffee costs $2.50 and tea costs $1.50. He sold a total of 35 items and made $76.50. How many cups of each did he sell?
coffee 24
tea 11