Algebra 1 Semester 1 Review

Front

What is the formula to calculate the total cost when hiring a painter who charges by the hour and has a fixed rental fee?

Back

Total Cost = (Hourly Rate × Hours Worked) + Ladder Rental Fee

Front

If y = -4/5x - 2, how do you find the value of x when y is given?

Back

Substitute the value of y into the equation and solve for x.

Front

What does the rate of change represent in a linear function?

Back

The rate of change represents how much y changes for a unit change in x, often referred to as the slope.

Front

What is the domain of a function?

Back

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

Front

How do you determine if a coordinate pair is in the solution set of an inequality?

Back

Substitute the x and y values into the inequality and check if the statement is true.

Front

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

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

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 not defined for values less than or equal to it.

Front

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

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of y when x = 0.

Front

How can you graph a linear equation?

Back

You can graph a linear equation by plotting the y-intercept and using the slope to find another point.