Linear Function Review

Linear Function Review

Review Day 1

Poll

Here is the equation y = 6x - 10. Where does this line cross this y-axis?

• 0

• 6

• 10

• -10

​Linear Functions

​Graphing Linear Equations

1. Plot the y - intercept

2. ​Plug an x-value into the equation to get a y-value

3. ​Plot your (x, y) pair

4. ​Draw a line to connect the (x , y) pair with your y - intercept

​

Let's Practice! Graph y = 2x -3

Draw

Graph the equation y = -2x + 4

​Solving Linear Functions Using Function Notation

1. ​Look at the value given in f(x)

2. ​Plug in the number inside the parenthesis for x in our equation.

3. ​Solve the equation

Multiple Choice

Here is a linear function: f(x) = 7x + 10

What is the value of f(3) ?

• 10

• 7

• 31

• 20

Multiple Choice

Here is a linear function: f(x) = -x + 2

What is the value of f(4) ?

• -2

• 2

• 6

• 8

​Solving a System of Linear Equations

​A coordinate pair that makes both equations in the system true.

​

On the graph shown of the equations in a system, the solution is the point where the graphs intersect.

​Substitution

• ​You need to first get one variable alone.

  Once you have a variable alone, you will replace that same variable in the other equation with the equation where the variable is alone

  Now, solve for the other variable.

  Once you get a number for that variable, plug the variable in  to get the answer for the second variable

​Elimination

• ​A method of solving a system of two equations in two variables where you add or subtract a multiple of one equation to another in order to get an equation with only one of the variables (thus eliminating the other variable).

Multiple Choice

A farmhouse shelters 10 animals, some are pigs, and some are ducks. Altogether there are 36 legs. How many pigs are there? _____

• 4

• 5

• 8

• 2

Multiple Choice

A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96. What is the price of a senior ticket? $_____

• $96

• $12

• $136

• $8

Open Ended

Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy? ____