Unit 7 Review - Systems

Front

What is the equation of a horizontal line through the point (-2, 7)?

Back

y = 7

Front

Solve by elimination: x + y = 8 and 2x - y = 7. What is the solution?

Back

(5, 3)

Front

What is the solution to the system of equations: 3x - 4y = -18 and x + 5y = 13?

Back

(-2, 3)

Front

What is the solution to the system of equations given by the tables? (Options: (4, 0), (3, 3), (1, 1), (1, 3))

Back

(1, 3)

Front

What does it mean for a system of equations to have no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

Define a system of equations.

Back

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

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

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 does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.