Last updated on Sep 20, 2026

Algebraic Techniques (HSC SSCE Mathematics Advanced): Quizzes

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Algebraic Fractions

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What makes $\frac{x+2}{3}$ an algebraic fraction?

It contains algebraic expressions

What is the golden rule for working with algebraic fractions?

Treat them like numerical fractions

Why can't you cancel $x$ in $\frac{x+2}{x+5}$ ?

$x$ is a term, not a factor

What should you do first when simplifying algebraic fractions?

Factorise completely

What is $\frac{2x}{3} \times \frac{9}{x}$ ?

$6$

To divide $\frac{a}{b} \div \frac{c}{d}$ , what do you do?

Flip second fraction then multiply

When dividing by $\frac{3}{x}$ , which fraction do you flip?

The second fraction only

How do you add $\frac{1}{x} + \frac{2}{x}$ ?

Add numerators, keep denominator

What must you do before adding $\frac{1}{x} + \frac{1}{y}$ ?

Find common denominator

What is the common denominator for $\frac{1}{x}$ and $\frac{1}{x+1}$ ?

$x(x+1)$

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Algebraic Techniques (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What makes x+23\frac{x+2}{3}3x+2​ an algebraic fraction?

What is the golden rule for working with algebraic fractions?

Why can't you cancel xxx in x+2x+5\frac{x+2}{x+5}x+5x+2​?

What should you do first when simplifying algebraic fractions?

What is 2x3×9x\frac{2x}{3} \times \frac{9}{x}32x​×x9​?

To divide ab÷cd\frac{a}{b} \div \frac{c}{d}ba​÷dc​, what do you do?

When dividing by 3x\frac{3}{x}x3​, which fraction do you flip?

How do you add 1x+2x\frac{1}{x} + \frac{2}{x}x1​+x2​?

What must you do before adding 1x+1y\frac{1}{x} + \frac{1}{y}x1​+y1​?

What is the common denominator for 1x\frac{1}{x}x1​ and 1x+1\frac{1}{x+1}x+11​?

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

What makes $\frac{x+2}{3}$ an algebraic fraction?

Why can't you cancel $x$ in $\frac{x+2}{x+5}$ ?

What is $\frac{2x}{3} \times \frac{9}{x}$ ?

To divide $\frac{a}{b} \div \frac{c}{d}$ , what do you do?

When dividing by $\frac{3}{x}$ , which fraction do you flip?

How do you add $\frac{1}{x} + \frac{2}{x}$ ?

What must you do before adding $\frac{1}{x} + \frac{1}{y}$ ?

What is the common denominator for $\frac{1}{x}$ and $\frac{1}{x+1}$ ?