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- Linear Inequalities

Still Confused?

Try reviewing these fundamentals first

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Try reviewing these fundamentals first

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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.

We have over 1410 practice questions in UK Year 10 Maths for you to master.

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