Algebra 1 | Unit 2 | Lesson 23: Solving Problems with Inequalities in Two Variables | Practice Problems

This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected $143.88. Using d to represent the number of dimes collected and q to represent the number of quarters, which statement best represents this situation?

A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat. Write an inequality to describe the constraints. Specify what each variable represents.

Name one solution to the inequality and explain what it represents in that situation.

Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound. Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks. Here is a graph that represents this situation. Write an inequality that represents this situation. Can Elena purchase 2 pounds of dried chili peppers and 4 pounds of corn husks and spend less than $50? Explain your reasoning. Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.

Which inequality is represented by the graph?

Here are some statistics for the number of minutes it took each of 9 members of the track team to run 1 mile. When a tenth time is added to the list, the standard deviation increases to 1.5. Is the tenth time likely an outlier? Explain your reasoning.

Write an inequality that represents the outdoor temperature at which a thicker or warmer sleeping bag would be needed to keep Jada warm.