Algebra 6-2 Entry Ticket

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that one variable is on one side of the equation and all other terms are on the other side.

Front

What is substitution in algebra?

Back

A method of solving a system of equations by replacing one variable with an expression derived from another equation.

Front

How do you solve for x in the equation 3x + 3y = 3?

Back

Isolate x by rearranging the equation: x = (3 - 3y)/3.

Front

What is the first step in solving the system 3x + 3y = 3 and y = 3x + 5?

Back

Substitute y from the second equation into the first equation.

Front

What is the solution to the system of equations 5x - 2y = 3 and y = 2x?

Back

The solution is the ordered pair (3, 6).

Front

How do you set up an equation for a word problem involving ticket sales?

Back

Define variables for each type of ticket, set up an equation based on total tickets sold, and another based on total revenue.

Front

What is the total revenue equation for student and adult tickets sold?

Back

If student tickets are $3 and adult tickets are $4, the equation is 3s + 4a = total revenue.

Front

How do you find the number of tickets sold if you know the total number of tickets and total revenue?

Back

Set up a system of equations with the total number of tickets and total revenue, then solve using substitution or elimination.

Front

What does it mean if a variable is 'isolated' in an equation?

Back

It means that the variable is alone on one side of the equation, making it easier to solve for its value.