Unit 7 Review - Systems

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.

Front

How do you represent a linear equation in slope-intercept form?

Back

Front

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

Back

A system of equations has no solution if the lines represented by the equations are parallel and never intersect.

Front

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

Back

A system of equations has infinite solutions if the equations represent the same line, meaning they intersect at every point on that line.

Front

How can you determine the number of solutions in a system of equations?

Back

You can determine the number of solutions by analyzing the slopes and y-intercepts of the lines represented by the equations.

Front

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

Back

The first step is to solve one of the equations for one variable in terms of the other variable.

Front

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

Back

The first step is to align the equations and manipulate them to eliminate one variable by adding or subtracting the equations.

Front

How do you write a system of equations from a word problem?

Back

Identify the variables, translate the relationships and conditions into equations, and write them as a system.

Front

What is the cost of one song if Tre downloaded 3 songs and rented 4 movies for $25?

Back

Songs are $3.

Front

What is the cost of one movie if Tre rented 4 movies and downloaded 3 songs for $25?

Back

Movies are $4.