Linear 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 in a linear equation represent?

Back

The slope 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 is the y-intercept in a linear equation?

Back

The y-intercept 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

If ice-cream costs $2.50 per scoop and puppychow costs $4 per bag, how would you model the total cost if you want to spend $20?

Back

The equation is 2.50x + 4y = 20, where x is the number of ice-cream scoops and y is the number of bags of puppychow.

Front

Sam ordered 4 tacos and 5 enchiladas for $10.80. How do you represent this situation with an equation?

Back

The equation is 4x + 5y = 10.80, where x is the cost of a taco and y is the cost of an enchilada.

Front

What is the total charge for renting a car for x hours if the rental fee is $25.50 and the hourly rate is $8.50?

Back

The equation is y = 25.5 + 8.5x, where y is the total charge.

Front

Bob saves $40 per month starting with $150. How do you express the amount in his account after x months?

Back

The equation is y = 40x + 150, where y is the total amount in the account.

Front

How do you calculate the cost of a holiday meal for x people if it costs $12.50 per person plus a $30 delivery fee?

Back

The equation is y = 30 + 12.5x, where y is the total cost.

Front

What is the first step in solving a linear word problem?

Back

Identify the variables and what they represent in the context of the problem.