### Simplify Expressions by Collecting Like Terms

In this lesson, we will introduce the vocabulary 'like terms' and group numbers and algebraic terms together in expressions to make them simpler.

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

## Lessons:

### Simplify Expressions by Collecting Like Terms

### Simplify Expressions by Multiplying Terms

### Expand a Term over a Single Bracket

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

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

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

### Expand and simplify double brackets

### Expand and Simplify Double Brackets (Coefficient of x Greater than 1)

### Multiplication Law for indices

### Division Law for indices

### Power Law for Indices

### Combining Index Laws

### Solving one-step equations

### Solving two-step equations

### Solving equations with brackets

### Solving equations with unknown on both sides

16 lessons

In this lesson, we will introduce the vocabulary 'like terms' and group numbers and algebraic terms together in expressions to make them simpler.

In this lesson, we will simplify the appearance of an expression that uses multiplication of algebraic terms. We will also investigate how we can multiply two algebraic terms.

In this lesson, we will rewrite an expression by multiplying out brackets that involve algebraic terms. We will also look at generating algebraic expressions using area models.

In this lesson, we will rewrite an expression by multiplying out brackets that involve algebraic terms. We will look at cases where we are multiplying two algebraic terms together, requiring the use of indices. We will also look at generating algebraic expressions using area models.

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

In this lesson, we will expand 2 brackets using algebra tiles and/or a grid e.g. where n≥1 4(nx±5)+6(nx±3).

In this lesson, we will expand and simplify double brackets using a grid or other method e.g. (x + 2)(x + 3).

In this lesson, we will expand and simplify double brackets. We will look at specific cases where the coefficient of x is greater than 1.

In this lesson, we will investigate the Multiplication Law for indices. We will derive this law and use it to simplify expressions.

In this lesson, we will investigate the Division Law for indices. We will derive this law and use it to simplify expressions.

In this lesson, we will investigate the Power Law for indices. We will derive this law and use it to simplify expressions.

In this lesson, we will be applying all three Index Laws to help us simplify more complicated expressions.

In this lesson, we will solve one step equations including those that first need to be formed from a word problem.

In this lesson, we will solve two step equations including those that first need to be formed from a word problem.

In this lesson, we will solve equations with brackets including those that first need to be formed from a word problem.

In this lesson, we will solve equations with an unknown on both sides including those that first need to be formed from a word problem.

Units in Maths

- Simplifying Surds
- Adding surds
- Multiplying Surds
- Dividing and Rationalising surds
- Solving equations 2 (Simple algebraic fractions)
- Algebraic Fractions
- Factorise and solve a quadratic (a=1)
- Factorise and solve quadratics (a > 1)
- Substitution and Rearranging formulae
- Further Algebra (Change the subject/Binomial expansion)
- Similarity
- Trigonometry 1
- Trigonometry 2
- Trigonometry 3
- Types of Numbers and Rules of Indices
- Negative and Fractional Indices
- Recurring decimals
- Upper and Lower Bounds
- Straight Line Graphs (y=mx+C)
- Straight Line Graphs 2 (Parallel Lines)
- Higher Straight lines (Perpendicular Lines)
- Simultaneous Equations (Linear)
- Scatter Diagrams & Frequency Trees & Averages
- Higher Data 1 (CF and Box Plots)
- Probability 2 (Sample space, Venn diagrams and experimental)
- Higher Probability (Conditional and Further Set Notation)
- Further Quadratic equations
- Quadratic Graphs 1 (a=1)
- Quadratic Graphs 2 (a>1)
- Quadratic sequences
- One linear and one quadratic simultaneous equations
- Parts of a Circle 1 & 2
- Volume and Surface Area 1 (Prisms)
- Volume 2
- Surface Area 2
- Volume and Surface Area 2
- Advanced Trigonometry 1
- Advanced Trigonometry 2
- Advanced Trigonometry 3
- Directed Numbers
- Rules of indices (numbers)
- Standard Form (Writing and converting)
- Standard Form 4 Operations
- Collecting, Indices, Expand and Simplify, Solving Equations 1
- Adding and Subtracting Fractions
- Rotation and Enlargement
- Pythagoras Theorem 1
- Pythagoras Theorem 2
- Factors Multiple and Primes
- Venn Diagrams
- HCF and LCM
- Rounding and Estimating
- Simple Graphs
- Scatter diagrams and Frequency trees
- Averages (From a list and tables, Stem and Leaf)
- Ratio 1 & 2
- Percentage increase and decrease
- Repeated Percentage Change
- Fractions 1, 2, and Fractional Change
- Parts of circles 1 (Semi and quarter circles)
- Parts of circles 2 (Arcs and Sectors)
- Cylinders
- Area and Perimeter
- 4 Rules of Number
- Types of numbers
- Collecting like terms, simplifying
- Expand and simplify brackets
- Rules of Indices
- Solving equations 1 (One step, Two Step and Brackets)
- Reflection
- Factorising (single bracket)
- Solve Inequalities and Represent on Number Line
- Linear Sequences
- Fraction equivalents
- Fractions 1 (adding and subtracting)
- Fractions 2 (multiplying and dividing)
- Fraction Change
- Percentages
- FDP Equivalents
- Decimals
- Ratio 1
- Circles
- Revise - Angles, Polygons, Bearings
- Circle Theorems 1
- Circle Theorems 2
- Functions
- Revise - Simultaneous Equations
- Charts and Tables (Pie Chart and Two way tables)
- Revise - Data (Mean Table, CF Charts)
- Probability 3 (Tree diagrams)
- Histograms
- Cubic and Reciprocal Graphs
- Travel Graphs
- Graphs of Inequalities
- Compound measures
- Volume and Surface Area 1 & 2
- Translate and Vectors 1
- Vectors 2
- Constructions
- Loci
- Angle Facts
- Parallel Lines and Polygons 1
- Polygons 2 (Interior and Exterior)
- Ratio 2 (Ratio and Fractions/Direct Proportion/Best Buy)
- Revise - Solving Equations
- Frequency charts (Data Collection, Bar and Pictograms)
- Probability 1 (Scale and equally likely events)
- Bearings
- Views and Maps
- Constructions & Loci
- Solve equations numerically (Iteration)
- Direct and Inverse Proportion
- Further Algebraic Fractions
- Algebraic Proof
- Circle Graphs
- Data Collection Higher
- Revise - Linear and Quadratic Graphs
- Other Graphs (Trig, Exponetial and Transformations)
- Further graphs (Gradients/Area of curves)
- Volume and Surface Area Higher 3
- Higher Vectors 1
- Higher Vectors 2 and Congruent Triangles
- Enlargement and Similarity

- Types of Numbers and Rules of Indices
- HCF and LCM
- Recurring decimals
- Standard Form (Writing and converting)
- Adding surds
- Adding and Subtracting Fractions
- Fraction equivalents
- Fractions 1 (adding and subtracting)
- Types of numbers
- Collecting, Indices, Expand and Simplify, Solving Equations 1
- Fraction Change
- Standard Form 4 Operations
- Venn Diagrams
- Scatter Diagrams & Frequency Trees & Averages
- Rules of indices (numbers)
- Percentages
- Percentage increase and decrease
- Ratio 1
- Upper and Lower Bounds
- Fractions 2 (multiplying and dividing)
- Dividing and Rationalising surds
- Decimals
- Rounding and Estimating
- Volume 2
- Directed Numbers
- Simplifying Surds
- Surface Area 2
- 4 Rules of Number
- Multiplying Surds
- Repeated Percentage Change
- Ratio 1 & 2
- FDP Equivalents
- Negative and Fractional Indices
- Fractions 1, 2, and Fractional Change
- Ratio 2 (Ratio and Fractions/Direct Proportion/Best Buy)
- Factors Multiple and Primes
- Revise - Solving Equations