Systems Flashcard Review

Front

Describe the movements of the function y=|x+2|+2.

Back

Left 2, Up 2.

Front

Solve the system by substitution: 2x − y = −5 and y = 2x + 5.

Back

Infinite number of solutions.

Front

Which piecewise function matches the given graph?

Back

(Provide the correct piecewise function based on the graph.)

Front

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. Write the system of equations.

Back

x + y = 33, y = 2x - 3.

Front

A gym charges a one-time registration fee and a monthly fee. Write a system of equations for the costs given: 4 months = $370, 6 months = $530.

Back

r + 4m = 370, r + 6m = 530.

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 a system of equations to have an infinite number of solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

How do you solve a system of equations by substitution?

Back

Solve one equation for one variable, then substitute that expression into the other equation.

Front

What is a piecewise function?

Back

A function defined by multiple sub-functions, each applying to a certain interval of the domain.

Front

What is the graphical representation of y=|x|?

Back

A V-shaped graph that opens upwards.