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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: 1a0:57
- Lesson: 1b0:48
- Lesson: 1c1:23
- Lesson: 1d1:17
- Lesson: 2a0:57
- Lesson: 2b0:45
- Lesson: 2c0:56
- Lesson: 2d1:03
- Lesson: 3a1:51
- Lesson: 3b0:54

Linear equations which can be solved with a single operation are called one-step linear equations. In this section, we will try to solve one-step linear equations represented in diagrams and in equation form.

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.What is the equation represented by each diagram?a)

b)

c)

d)

- 2.Solve.a)$- 4x = 56$b)$3x = - 24$c)$\frac{x}{5} = - 7$d)$- 2 = \frac{x}{{ - 10}}$
- 3.Betty is baking 5 cakes and has 2 cups of icing sugar to decorate the cakes. If there is 40 g of icing sugar in each cup, how much icing sugar can Betty use for each cake?a)What is the equation that represents the situation?b)Solve the equation.

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 700 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: $\;a\left( {x + b} \right) = c$