Writing Linear Equations from Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in 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 steep the line is.

Front

What does the y-intercept (b) represent 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 do you write a linear equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Front

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?

Back

y = 90x + 50

Front

What letter represents the slope of a line in the equation y = mx + b?

Back

m

Front

Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hour. Write an equation to represent this situation.

Back

y = 5x + 15

Front

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the total cost for x people?

Back

y = 30 + 12.50x

Front

A man is climbing down from 100 feet high descending 30 feet per minute. Write the equation for his height over time.

Back

y = 100 - 30x

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.