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- Linear Equations (Basic)

Still Confused?

Try reviewing these fundamentals first

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Try reviewing these fundamentals first

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Get Started Now- Intro Lesson: a5:48
- Lesson: 1a3:00
- Lesson: 1b2:36
- Lesson: 2a1:51
- Lesson: 2b1:54
- Lesson: 2c1:48
- Lesson: 2d1:49
- Lesson: 3a1:55
- Lesson: 3b2:38

Distributive property is an algebra property that we use all the time! When you see equations in the form of a(x+b), you can transform them into ax+ab by multiplying the terms inside a set of parentheses. In this section, we will make use of this property to help us solve linear equations.

Basic Concepts: Model and solve one-step linear equations: $ax = b$, $\frac{x}{a} = b$, Solving two-step linear equations using addition and subtraction: $ax + b = c$, Solving two-step linear equations using multiplication and division: $\frac{x}{a} + b = c$

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

- Introductiona)
- What is Distributive Property?
- How to use distributive property to solve linear equations?

- 1.Solve the equation using model.a)$4\left( {x + 1} \right) = 12$b)$2\left( {x - 3} \right) = 8$
- 2.Solve.a)$3\left( {x - 9} \right) = 45$b)$7\left( {10 + x} \right) = 14$c)$- 15 = 3\left( {x - 6} \right)$d)$- 22 = 11\left( {x + 13} \right)$
- 3.John has a round table with a circumference of 314.16 cm, but it is too big for his new home. So, he cut off a 10 cm wide border around the edge.a)Write the equation that represents the situation.b)What is the circumference of the table now? Round your answer to two decimal places.

20.

Linear Equations (Basic)

20.1

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

20.2

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

20.3

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

20.4

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

We have over 1350 practice questions in NZ Year 9 Maths for you to master.

Get Started Now20.1

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

20.2

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

20.3

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

20.4

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