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- Slides: 57
*Please write down your homework - Quiz tomorrow * Please take a handout and write your name at the top. * You will need to show all of your work. * This will be collected the day of the quiz along with your review homework. Use it as a review tool.
One-Step Inequalities Two-Step and Multistep Inequalities Graphing Inequalities Word Problems Miscellaneous 10 10 10 20 20 20 30 30 30 40 40 40 50 50 50
Category 1 One Step Inequalities
Question Solve: X + 5 > 12 One step equations and inequalities 10
Answer X>7 One step equations and inequalities 10
Question Solve: 4 x < 24 One step equations and inequalities 20
Answer X<6 One step equations and inequalities 20
Question Solve: -5 x ≤ 50 One step equations and inequalities 30
Answer X ≥ -10 One step equations and inequalities 30
Question One step equations and inequalities 40
Answer X ≥ 144 One step equations and inequalities 40
Question One step equations and inequalities 50
Answer X ≤ -45 One step equations and inequalities 50
Category 2 Two-Step and Multi-Step Inequalities
Question Solve: 3 x + 4 < 31 Two step and Multistep inequalities 10
Answer X<9 Two step and Multistep inequalities 10
Question Solve: 2 x – 8 > 52 Two step and Multistep inequalities 20
Answer X > 30 Two step and Multistep inequalities 20
Question Two step and Multistep inequalities 30
Answer X < 120 Two step and Multistep inequalities 30
Question Solve: -4 x + 5 ≥ 45 Two step and Multistep inequalities 40
Answer X ≤ -10 Two step and Multistep inequalities 40
Question Solve: 6 – 5 x > 36 Two step and Multistep inequalities 50
Answer X < -6 Two step and Multistep inequalities 50
Category 3 Graphing Inequalities
Question Graph the following: X>3 Graphing inequalities 10
Answer Graphing inequalities 10
Question Identify the correct graph: X ≤ 14 Graphing inequalities 20
Answer Graphing inequalities 20
Question Graph the following: X ≤ -9 Graphing inequalities 30
Answer Graphing inequalities 30
Question Identify the inequality represented in the graph below: Graphing inequalities 40
Answer X>5 Graphing inequalities 40
Question Identify the inequality that represents the graph: Graphing inequalities 50
Answer X ≥ -4 Graphing inequalities 50
Category 4 word problems
Question Write and solve an inequality to identify the solution of the given problem. You take $25 to the movie theater. If a movie ticket costs $11, how much could you spend on snacks? Word Problems 10
Answer X ≤ 14 You could spend at most $14. Word Problems 10
Question Write and solve an inequality to identify the solution of the given problem. Mr. Lindh wants to spend at most $350 on Eagles tickets. If he went to the game with 4 friends, what is the most each ticket could cost? Word Problems 20
Answer X < 70 Each ticket could cost up to $70 Word Problems 20
Question Write and solve an inequality to identify the solution of the given problem. You buy a jacket for $40 and t-shirts that cost $5 each. If you want to spend less than $75, how many t-shirts can you buy? Word Problems 30
Answer X<7 You can buy 6 shirts or less. Word Problems 30
Question Write and solve an inequality to identify the solution of the given problem. The temperature at the skating rink is 40 degrees, but needs to be a maximum of 28 degrees for people to skate on it. If the temperature drops 3 degrees every hour, how many hours will it be until people can skate on the rink? Word Problems 40
Answer X≥ 4 It will be at least 4 hours until people can skate on the rink. Word Problems 40
Question Write and solve an inequality to identify the solution of the given problem. You are having a celebration dinner. The bill must be a minimum of $500. The restaurant charges $22 person and a $40 hosting fee. How many people must you invite to reach the minimum cost? Word Problems 50
Answer X ≥ 21 You must invite a minimum of 21 people Word Problems 50
Category 5 questions follow
Question What does this symbol mean? ≤ Miscellaneous 10
Answer Less than or equal to Miscellaneous 10
Question How do you isolate the variable? Miscellaneous 20
Answer Use the inverse operations on each side of the inequality or equation until the variable it by itself. Miscellaneous 20
Question What happens when dividing by a negative when solving inequalities, and only inequalities? Miscellaneous 30
Answer You must flip the inequality sign. Category 5 30
Question When graphing an inequality when do you use an open circle and when do you use a closed circle? Miscellaneous 40
Answer You use an open circle when your inequality is < or >. You use a closed circle when your inequality is ≤ or ≥. Category 5 40
Question Identify key words for each inequality: Miscellaneous < > ≤ ≥ 50
Answer < : less than, fewer than >: greater than, more than ≤: less than or equal to, a maximum of, at most ≥: greater than or equal to, a minimum of, at least Miscellaneous 50