Solving Linear Systems by Graphing

What is a system of linear equations?

• A set of equations with no variables.

• A single equation with multiple variables.

• A set of equations with the same variables.

• A set of equations with different variables.

What is the solution to a system of equations?

• A single variable that satisfies one equation.

• An ordered pair that satisfies all equations in the system.

• A set of variables that satisfy one equation.

• An ordered pair that satisfies one equation.

How do you check if a value is a solution to a single-variable equation?

• By using a calculator.

• By solving for another variable.

• By substituting the value into the equation.

• By graphing the equation.

What must you do to check a solution for a system of equations?

• Substitute the values into one equation.

• Substitute the values into each equation in the system.

• Graph the equations.

• Use a calculator.

What is the first step in testing whether a point is a solution to a system?

• Graph the point.

• Substitute the point into one equation.

• Substitute the point into each equation.

• Solve for one variable.

What does a graph of an equation represent?

• The variables in the equation.

• A single solution to the equation.

• All solutions to the equation.

• The constants in the equation.

Where can the solution to a system of equations be found on a graph?

• At the x-intercept.

• At the y-intercept.

• At the intersection of the lines.

• At the origin.

What is the slope-intercept form of an equation?

• y = mx + b

• ax + by = c

• y = ax + b

• x = my + b

What is the slope of the equation y = 2x + 3?

• 2

• 3

• 1

• 0

What is the y-intercept of the equation y = -x + 4?

• -4

• 4

• -1

• 1