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- Solving 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 math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 1a2:37
- Lesson: 1b2:06
- Lesson: 2a1:03
- Lesson: 2b1:02
- Lesson: 2c0:51
- Lesson: 2d1:08
- Lesson: 3a2:16
- Lesson: 3b1:50

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,

- 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.

16.

Solving Equations

16.1

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

16.2

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

16.3

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

16.4

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

We have over 1100 practice questions in UK Year 7 Maths for you to master.

Get Started Now16.1

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

16.2

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

16.3

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

16.4

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