Linear Equation 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 much y changes for a one-unit increase in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

How do you write an 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 Bob saves $40 per month starting with $150, what is the equation for his savings?

Back

y = 40x + 150, where y is the total savings after x months.

Front

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

Back

y = 25.5 + 8.5x, where y is the total cost.

Front

How do you determine the number of additional children in a camp fee problem?

Back

Identify the base fee and the additional fee per child, then express the total fee as a function of the number of additional children.

Front

What is the equation for the total membership of a fitness club that starts with 80 members and increases by 15 each month?

Back

y = 15x + 80, where y is the total membership after x months.

Front

How do you calculate the total cost of rides at a fair if admission is $5 and each ride costs $0.50?

Back

Subtract the admission cost from the total money available, then divide by the cost per ride.

Front

If you have $20 to spend at a fair with a $5 admission and $0.50 per ride, how many rides can you go on?

Back

30 rides, calculated as (20 - 5) / 0.50 = 30.