Math 8 Expressions and Equations II CAASPP Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

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

Back

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

Front

How do you determine the number of solutions in a system of equations?

Back

By graphing the equations or using substitution/elimination methods to find if they intersect.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

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

Front

How do you find the total cost of membership at a fitness center with a joining fee and monthly charge?

Back

Total cost = joining fee + (monthly charge × number of months).

Front

What is a cost function in relation to purchasing items?

Back

A mathematical expression that describes the total cost based on the quantity purchased.

Front

How do you compare two cost functions to determine which is more cost-effective?

Back

Set the cost functions equal to each other and solve for the quantity to find the break-even point.

Front

What is the significance of the y-intercept in a linear equation?

Back

It represents the value of y when x is zero, indicating where the line crosses the y-axis.