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- AU Maths Extension 1
- Inequalities

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

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Get Started Now- 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

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: $ax + b = c$, ${x \over a} + b = c$, 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,

- Introductioni) What is an inequality?

ii) How to solve linear inequalities?

iii) How to graph inequalities on a number line? - 1.Solve.a)$7x \le 63$b)$- \frac{1}{8}x$ > $- 5$c)$3 \ge \frac{x}{{1.3}}$d)$2.4x$ < $-1.8$
- 2.Determine if the solution is correct for each inequality.a)$21.4 - x$ < $17$; $x = 8$b)$- \frac{2}{5}x \le 5$; $x = - 2$c)$31 \ge - 3x$; $x = 1.5$d)$\frac{5}{8}x$ < $2.6$; $x = 0.54$
- 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 $\frac{1}{5}$ 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.

13.

Inequalities

13.1

Express linear inequalities graphically and algebraically

13.2

Solving one-step linear inequalities

13.3

Solving multi-step linear inequalities

13.4

Compound inequalities

13.5

Solving absolute value inequalities

13.6

Graphing linear inequalities in two variables

13.7

Graphing simultaneous inequalities

13.8

Solving quadratic inequalities in one variable

We have over 1640 practice questions in AU Maths Extension 1 for you to master.

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