Unit 5 Test Review: Systems and Word Problems

Front

Solve by elimination: 7x + y = -9 and -3x - y = 5

Back

(-1,-2)

Front

When does a system of equations have no solutions?

Back

When the slopes are the same.

Front

Solve by elimination: -9x - 4y = -20 and 5x + 4y = 4

Back

(4,-4)

Front

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

Back

x + y = 15 and 4x + 2y = 44

Front

Caitlin has 49 bills totaling $1430 with twenty dollar bills and fifty dollar bills. Which system best represents the situation?

Back

x + y = 49 and 20x + 50y = 1430

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have the same slope but different y-intercepts, resulting in no solutions.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for one variable and substitute it into another equation.

Front

What is the graphical method of solving systems of equations?

Back

Plotting the equations on a graph and finding the intersection point.