Writing Linear Equations - 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 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What does 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the value of y when x is 0.

Front

How do you write an equation for a situation where a quantity increases at a constant rate?

Back

To write an equation for a situation where a quantity increases at a constant rate, use the form y = mx + b, where m is the rate of increase and b is the starting value.

Front

If a plant is 5cm tall and grows 3cm each month, what is the equation representing its height after x months?

Back

The equation is y = 3x + 5.

Front

Sally walks 12 miles every week. Write the equation representing the total miles walked after x weeks.

Back

The equation is y = 12x.

Front

Connor sells 15 cups of lemonade and sells 5 more cups each hour. Write the equation for the total cups sold after x hours.

Back

The equation is y = 5x + 15.

Front

What is the slope of the line represented by the equation y = 2x + 15?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = 2x + 15?

Back

The y-intercept of the line is 15.

Front

Speedy Boat Rental charges a $15 deposit plus $2 per hour. Write the equation for the total cost after x hours.

Back

The equation is y = 2x + 15.