MATH 8: Unit 4 Post Test Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

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

Back

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

Front

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

Back

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

Front

How do you find the solution to a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is the solution to the system of equations 3x + 2y = 8 and 5x + 2y = 12?

Back

(2, 1)

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Front

How do you determine if two lines are perpendicular?

Back

If the product of their slopes is -1.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

2, which means for every 1 unit increase in x, y increases by 2 units.

Front

What is the y-intercept of the equation y = -rac{1}{2}x + 5?

Back

5, which is the point where the line crosses the y-axis.