Systems of Equations- STAAR 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 for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How can you determine the solution to a system of equations graphically?

Back

The solution is the point where the two lines intersect on the graph.

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 is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

What is a solution to a system of equations?

Back

A point (x,y) that satisfies all equations in the system.

Front

If a painter bought 16 cans of paint and primer for $475.84, how can you set up the equations to find the number of each?

Back

Let x = number of paint cans, y = number of primer cans. The equations are: x + y = 16 and 32.99x + 19.99y = 475.84.

Front

What is the cost of each can of premium paint?

Back

$32.99.

Front

What is the cost of each can of primer?

Back

$19.99.