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- Linear Equations

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 maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started Now- Lesson: 1a3:56
- Lesson: 1b4:13
- Lesson: 2a3:55
- Lesson: 2b3:32
- Lesson: 3a2:52
- Lesson: 3b2:09
- Lesson: 3c1:44
- Lesson: 3d1:40
- Lesson: 45:23

In this section, we will look at linear equation questions which involve two kinds of operations: addition and subtraction. We will deal with two-step linear equations modeled by diagrams as a start. Then, we will learn how to solve algebraic equations and related word problems.

Basic Concepts: Understanding integer division, Model and solve one-step linear equations: $ax = b$, $\frac{x}{a} = b$

Related 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

- 1.Find x in the equation modelled by each diagram.a)

b)

- 2.Find x in the equation modelled by algebra tiles.a)

b)

- 3.Solve.a)$7x + 9 = 21$b)$98 - 2x = 14$c)$- 35 = 6x + 49$d)$- 4x - 11 = 109$
- 4.The total admission fee of an aquarium for 30 students is $240 after a group discount of $3 for each person. What is the original admission fee before the discount?

11.

Linear Equations

11.1

Model and solve one-step linear equations: $ax = b$, $\frac{x}{a} = b$

11.2

Solving two-step linear equations using addition and subtraction: $ax + b = c$

11.3

Solving two-step linear equations using multiplication and division: $\frac{x}{a} + b = c$

11.4

Solving two-step linear equations using distributive property: $\;a\left( {x + b} \right) = c$

We have over 680 practice questions in AU Year 6 Maths for you to master.

Get Started Now11.1

Model and solve one-step linear equations: $ax = b$, $\frac{x}{a} = b$

11.2

Solving two-step linear equations using addition and subtraction: $ax + b = c$

11.3

Solving two-step linear equations using multiplication and division: $\frac{x}{a} + b = c$

11.4

Solving two-step linear equations using distributive property: $\;a\left( {x + b} \right) = c$