Topic 4 Review 8th

Front

Solve the system by substitution: 5x + 4y = -14, y = -7x - 15

Back

(-2, -1)

Front

Given the system, determine a solution: No solution, Infinite solutions, (-5, 5), (5, -5)

Back

No solution

Front

Solve the system of inequalities by graphing: y < 2x + 3, y > -x + 1

Back

Graph the inequalities and find the overlapping region.

Front

Solve the system: y = -2x + 5, y = 2x - 11

Back

(4, -3)

Front

Solve the system: y = -6x + 5, -2x + y = 5

Back

(0, 5)

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 to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean for a system to have infinite solutions?

Back

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

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

What is the graphical method for solving systems of equations?

Back

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