A1 Unit 3: Linear Equations Vocabulary Bell Ringer

An equation in which the highest power of the variable (usually represented as 'x') is 1. It has the form ax + b = c, where 'a,' 'b,' and 'c' are constants.

• Linear Equation

• Variable

• Coefficient

• Constant

A set of two or more linear equations with the same variables that are solved together to find a common solution.

• Inequality

• No Solution

• System of Linear Equations

• Infinite Solutions

A visual representation of an equation, typically as a line on a coordinate plane.

• Solution

• Graph

• Coordinate Plane

• Intersect

A mathematical statement that shows the relationship between two expressions using symbols like '<' (less than), '>' (greater than), '<=' (less than or equal to), or '>=' (greater than or equal to).

• Substitution

• Elimination

• Inequality

• Linear Function

A method of solving a system of linear equations by adding or subtracting the equations to eliminate one of the variables, making it easier to solve for the other variable.

• Elimination

• Inequality

• Graphical Solution

• LInear Function

When a system of linear equations has an infinite number of solutions, meaning all values of 'x' and 'y' satisfy the equations.

• No Solution

• Infinite Solutions

• Substitution

• Elimination

A symbol, typically represented as 'x' or 'y,' that can take on different values in an equation or expression.

• Linear Equation

• Variable

• Coefficient

• Constant

A function that can be represented by a linear equation, such as y = mx + b, where 'm' and 'b' are constants.

• Linear Function

• Graphical Solution

• Inequality

• Elimination

Solving an equation or system of equations by plotting the equations on a coordinate plane and identifying the point(s) of intersection.

• Elimination

• Inequality

• Graphical Solution

• Linear Function

When a system of linear equations has no common solution, meaning the lines represented by the equations are parallel and will never intersect.

• Substitution

• Elimination

• No Solution

• Linear Function