Systems of Equations Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the graphical method?

Back

A method for solving systems of equations by graphing the equations and finding the point(s) where they intersect.

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationships, and translate the words into mathematical expressions.

Front

What is the meaning of 't' in the equation 1500 + 8t = 12t?

Back

't' represents the number of teddy bears sold.

Front

What is the first step in solving the system 5x + 6y = -9 and -3x - 2y = 7 by elimination?

Back

Distribute a 3 to the second equation.

Front

How do you find the intersection of two lines graphically?

Back

Plot both lines on a graph and identify the point where they cross.

Front

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

Back

The lines representing the equations are parallel and never intersect.