Linear Relationships 7th Grade STAAR Review

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

What is the y-intercept (b) in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How can you identify a linear equation from a table of values?

Back

A linear equation can be identified from a table of values if the differences between consecutive y-values are constant for equal differences in x-values.

Front

What is the equation for the total number of eggs in x cartons if each carton contains 12 eggs?

Back

The equation is y = 12x, where y is the total number of eggs and x is the number of cartons.

Front

How do you write an equation for the cost of a cheeseburger with a base price and extra toppings?

Back

The equation is c = 7.95 + 1.00t, where c is the total cost, 7.95 is the base price, and t is the number of extra toppings.

Front

What does it mean if a graph has a positive slope?

Back

A positive slope indicates that as the independent variable (x) increases, the dependent variable (y) also increases.

Front

What does it mean if a graph has a negative slope?

Back

A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases.

Front

How can you represent a situation where a bathtub drains water at a constant rate?

Back

You can represent this situation with a linear equation or a table showing the amount of water remaining over time, decreasing at a constant rate.

Front

What is the equation for a line that has a slope of 1.5 and a y-intercept of -2?

Back

The equation is y = 1.5x - 2.