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Solving one-step linear inequalities
- Intro Lesson8:16
- Lesson: 1a0:36
- Lesson: 1b1:17
- Lesson: 1c1:13
- Lesson: 1d0:36
- Lesson: 2a1:09
- Lesson: 2b0:57
- Lesson: 2c0:47
- Lesson: 2d0:50
- Lesson: 3a1:17
- Lesson: 3b1:12
- Lesson: 4a0:56
- Lesson: 4b0:45
Solving one-step linear inequalities
We learn how to solve one-step linear inequalities in this lesson. Besides typical math questions, we are going to see word problems related to one-step linear inequalities and money.
Basic Concepts: Evaluating algebraic expressions, Solving linear equations using multiplication and division, Solving two-step linear equations: ax+b=c, ax+b=c, Solving linear equations using distributive property: a(x+b)=c
Related Concepts: Graphing linear inequalities in two variables, Graphing systems of linear inequalities, Graphing quadratic inequalities in two variables, Graphing systems of quadratic inequalities
Lessons
- Introductioni) What is an inequality?
ii) How to solve linear inequalities?
iii) How to graph inequalities on a number line? - 1.Solve.a)7x≤63b)−81x > −5c)3≥1.3xd)2.4x < −1.8
- 2.Determine if the solution is correct for each inequality.a)21.4−x < 17; x=8b)−52x≤5; x=−2c)31≥−3x; x=1.5d)85x < 2.6; x=0.54
- 3.In a pizza restaurant, you need to order a minimum of $30 of pizzas to get a free drink. If each pizza is $7.45, how many pizzas do you need to order to get the free drink?a)Use inequality to express the situation.b)Find the solution to the question.
- 4.Anna wants to save up 51 of her total income each month. If she wants to save up $260 per month, how much money does she need to earn?a)Use an inequality to solve the question.b)Check your solution.