# Unit: Collecting, Indices, Expand and Simplify, Solving Equations 1

## Lessons:

16 lessons

### Simplify Expressions by Collecting Like Terms

Simplify expressions by collecting like terms.

### Simplify Expressions by Multiplying Terms

Simplify expressions through multiplication and division.

### Expand a Term over a Single Bracket

Multiply a single bracket by a term.

### Expand a Term over a Single Bracket including Powers

Multiply a single bracket by a term, involving powers.

### Expand 2 brackets and simplify expressions (Part 1)

Expand 2 brackets using algebra tiles and/or a grid e.g. where n≥1 4(nx±5)+6(nx±3)

### Expand 2 brackets and simplify expressions (Part 2)

Expand 2 brackets using algebra tiles and/or a grid e.g. where n≥1 4(nx±5)-6(nx±3)

### Expand and simplify double brackets

Expand and simplify double brackets using a grid or other method e.g. (𝑥+ 2)(𝑥 + 3)

### Expand and simplify double brackets (coefficient of 𝑥 greater than 1)

Expand and simplify double brackets (coefficient of 𝑥 greater than 1)

### Multiplication law for indices

Applying the multiplication law for indices

### Division law for indices

Applying the division law for indices

### Power Law for Indices

In this lesson, we will be applying the power law for indices.

### Combining Index Laws

In this lesson, we will be applying all three index laws.

### Solving one-step equations

Solving one step equations including those that first need to be formed from a word problem.

### Solving two-step equations

Solving two step equations including those that first need to be formed from a word problem.

### Solving equations with brackets

Solving equations with brackets including those that first need to be formed from a word problem.

### Solving equations with unknown on both sides

Solving equations with unknown on both sides including those that first need to be formed from a word problem.