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- Solving Linear Inequalities

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Get Started Now- Intro Lesson8:16
- Lesson: 1a1:36
- Lesson: 1b4:57
- Lesson: 1c2:08
- Lesson: 1d2:25
- Lesson: 2a3:37
- Lesson: 2b2:03
- Lesson: 32:24

We learn how to solve multi-step linear inequalities in this lesson. Besides typical math questions, we are going to see word problems related to multi-step linear inequalities and money.

Basic Concepts:Solving linear equations using multiplication and division, Solving two-step linear equations: $ax + b = c$, ${x \over a} + b = c$, Solving linear equations using distributive property: $a(x + b) = c$, Solving linear equations with variables on both sides,

Basic Concepts:Graphing linear inequalities in two variables, Graphing systems of linear inequalities, Graphing quadratic inequalities in two variables, Graphing systems of quadratic inequalities,

- Introductioni) What is an inequality?

ii) How to solve linear inequalities?

iii) How to graph inequalities on a number line? - 1.Solve.a)$10x - 25 = - 5x$b)$12.4 - 7.2x \le 10x - 15$c)$- \frac{3}{8} - 3x \le \frac{1}{8}x - 2$d)$\frac{1}{4}x + 2 \le - \frac{3}{4}\left( {3x - 5} \right)$
- 2.Bob works for car dealer A which offers him a base rate of $800 and $15 for every car he sells. Tom works for car dealer B which gives him a base rate of $700 and $20 for each car he sells. If they sold the same number of cars last month, and Tom earned more than Bob. What is the minimum number of cars Tom sold last month?a)Express the problem in an inequality.b)Solve the inequality.
- 3.The cost of a charity dinner is $300 plus $18 per guest. The ticket to the dinner is $30 per person. How many tickets must be sold to cover the costs?

We have over 1470 practice questions in AU Year 9 Maths for you to master.

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