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- Linear Equations

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 1a1:23
- Lesson: 1b1:25
- Lesson: 2a1:34
- Lesson: 2b1:23
- Lesson: 3a1:36
- Lesson: 3b1:29
- Lesson: 3c1:24
- Lesson: 3d1:13
- Lesson: 41:46

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 690 practice questions in NZ Year 7 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: $\;a\left( {x + b} \right) = c$