Algebra 1 Semester 1 Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

How do you find the rate of change in a linear function?

Back

The rate of change is found by calculating the change in y divided by the change in x (rise/run).

Front

What is the formula for the total cost when combining hourly rates and fixed costs?

Back

Total Cost = (Hourly Rate * Hours Worked) + Fixed Costs.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you determine the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the formula to calculate the total height of a building with multiple floors and an antenna?

Back

Total Height = (Height of each floor * Number of floors) + Height of antenna.

Front

What does it mean for a function to have a domain of all real numbers greater than a certain value?

Back

It means that the function is defined for all x-values that are greater than that value, and does not include that value itself.