​Word Problems

• Most of these problems will not give you a slope and y

  intercept.

• You will not be writing inequalities in slope-intercept form.

• You will be writing equations in standard form.

Standard Form Word Problems

• Figure out what x and y represent

• Write an inequality for each topic in the topic

​Word Problem #1

You can work a total of no more then 41 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $254 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.

​Word Problem #2

Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write and graph a system of linear inequalities to represent this situation.

​Word Problem #3

A salad contains ham and chicken. There are at most 6 pounds of ham and chicken in the salad. Write and graph a system of inequalities to represent this situation.

​Word Problem #4

Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She is only allowed to work 13 hours per week. She wants to make at least $65. Write and graph a system of inequalities to represent this situation.