12/18/24 Do Now

Front

What is the time taken to do 1 haircut if Alexandra can give 3 haircuts and 2 hair dyes in 315 minutes and 2 haircuts and 4 hair dyes take 450 minutes?

Back

45 mins

Front

How long does it take to dye 1 head if Alexandra can give 3 haircuts and 2 hair dyes in 315 minutes and 2 haircuts and 4 hair dyes take 450 minutes?

Back

90 mins

Front

What system of equations represents the situation where Alexandra gives 3 haircuts and 2 hair dyes in 315 minutes and 2 haircuts and 4 hair dyes in 450 minutes?

Back

3x + 2y = 315 and 2x + 4y = 450

Front

Define a variable in the context of a problem involving haircuts and hair dyes.

Back

A variable represents an unknown quantity, such as the time taken for one haircut (x) or one hair dye (y).

Front

What does the equation 3x + 2y = 315 represent in this context?

Back

It represents the total time taken for 3 haircuts and 2 hair dyes.

Front

What does the equation 2x + 4y = 450 represent in this context?

Back

It represents the total time taken for 2 haircuts and 4 hair dyes.

Front

How can you find the time for one haircut using the given equations?

Back

You can solve the system of equations to find the values of x (time for one haircut) and y (time for one hair dye).

Front

What is the first step in solving a system of equations?

Back

Identify the equations and the variables involved.

Front

What is substitution in the context of solving equations?

Back

Substitution involves replacing one variable with an expression derived from another equation.

Front

What is elimination in the context of solving equations?

Back

Elimination involves adding or subtracting equations to eliminate one variable.