Two Step Inequalities

Solve two-step inequalities and real-world problems with this practice worksheet!

1) In order for a field trip to be scheduled, at least 30 students must sign up. So far, 23 students have signed up. At least how many more students must sign up in order for the field trip to be scheduled? 2) It cost Sophia $530 to make wind chimes. How many wind chimes must she sell at $12 a piece to make a profit? 3) It cost the Wilson siblings $55 to make lemonade. How many glasses must they sell at 75 cents each to make a profit? 4) Jorge's soccer team is having it's annual fund raiser. The team hopes to earn at least three times as much as it did last year. Last year the team earned $87. What is the team's goal for this year? 5) When do you change the direction of the inequality symbol? Type your answer below. Select the solution that would satisfy each inequality.6) x< 20 x < 16 x< 4 x < -20 7) x > 8 x< 24 x < 8 x< 12 8) x > -12 x > 12 x < -12 x < 12 9) Match each inequality to its graph. Select the correct graph for each inequality. The blue arrow indicates the numbers that are solutions to the inequality. 10) A B C D 11) A B C D 12) A B C D