12/4/24 Exit Ticket

Front

Which equation is easier to solve for a variable?

Back

The first equation is easier to solve for a variable because it may have fewer terms or simpler operations.

Front

What is the first step in solving using the substitution method?

Back

The first step is to get either variable by itself in one equation.

Front

Write the new equation to solve after using the substitution process correctly for the system: y = x - 1, 2x - 3y= -1.

Back

The new equation is 2x - 3(x - 1) = -1.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

Front

How do you check the solution of a system of equations?

Back

You can check the solution by substituting the values back into the original equations to see if they hold true.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What is the goal of solving a system of equations?

Back

The goal is to find the values of the variables that satisfy all equations in the system.

Front

What is the difference between a linear equation and a nonlinear equation?

Back

A linear equation graphs as a straight line, while a nonlinear equation graphs as a curve.

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution in common.