Algebra 1 Final Review

Front

What is a linear inequality?

Back

Front

Back

You read it as 'z is less than 10'.

Front

What does the solution (1, 3) represent in a system of equations?

Back

The solution (1, 3) represents the point where the two equations intersect on a graph.

Front

What is the solution to the system of equations if the answer is (1, -1)?

Back

The solution (1, -1) is the point where the two equations intersect, meaning both equations are satisfied at this point.

Front

What is the total cost equation for Brenda's gym membership?

Back

Front

What does the symbol ≤ mean in an inequality?

Back

The symbol ≤ means 'less than or equal to'.

Front

What is the graphical representation of a linear inequality?

Back

The graphical representation of a linear inequality is a shaded region on one side of a boundary line, which represents all the solutions to the inequality.

Front

How do you determine if a point is a solution to a linear inequality?

Back

To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation has an equal sign (=) and represents a straight line, while a linear inequality uses inequality symbols (<, >, ≤, ≥) and represents a region of solutions.

Front

What does it mean if a system of equations has no solution?

Back

If a system of equations has no solution, it means the lines representing the equations are parallel and never intersect.