Unit Test 3A

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the values that satisfy all equations simultaneously.

Front

What is the elimination method in solving systems of equations?

Back

A method where one equation is manipulated to eliminate one variable, allowing for the solution of the remaining variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and there are countless points that satisfy both equations.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

How do you graph a linear equation?

Back

Identify the y-intercept and slope, plot the y-intercept on the graph, and use the slope to find another point.

Front

What is the slope-intercept form of a linear equation?

Back

The form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the cost of an item using a system of equations?

Back

Set up equations based on the total cost and quantities purchased, then solve the system to find the cost per item.

Front

What is the first step in solving a system of equations by elimination?

Back

Align the equations and manipulate them to make the coefficients of one variable the same.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable in terms of the other variable.