Part 4: Linear Equations and Systems

Front

What is a linear equation?

Back

Front

What does it mean for a point to be a solution to a system of equations?

Back

A point is a solution to a system of equations if it satisfies all equations in the system, meaning it makes all equations true when the coordinates of the point are substituted into them.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is alone.

Front

What is the slope of a line?

Back

Front

What is the y-intercept of a line?

Back

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept (b) and plot it on the y-axis. Then use the slope (m) to find another point by moving up/down and left/right from the y-intercept.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect on a graph.

Front

What is substitution in solving systems of equations?

Back

Substitution is a method for solving systems of equations where you solve one equation for one variable and then substitute that expression into the other equation.

Front

What is elimination in solving systems of equations?

Back

Elimination is a method for solving systems of equations where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

How do you check if a point is a solution to a linear equation?

Back

To check if a point is a solution, substitute the x and y coordinates of the point into the equation. If both sides of the equation are equal, the point is a solution.