Front

What is a system of equations?

Back

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

Front

How do you find the solution to a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What does it mean to solve for a variable?

Back

To isolate the variable on one side of the equation to find its value.

Front

What is the first step in solving the equation 3x + 3 = 2x + 1?

Back

Subtract 2x from both sides to simplify the equation.

Front

What is the solution to the equation 5x - 4 = 3x + 6?

Back

x = 5.

Front

What is the rate of change in a linear equation?

Back

The slope, which indicates how much the dependent variable changes for a unit change in the independent variable.

Front

How do you determine when two people have done the same amount of work?

Back

Set their work equations equal to each other and solve for the time variable.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the value of y when x = 0, representing the starting point of the line on the graph.

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have the same slope but different y-intercepts, meaning they will never intersect.

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.