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Course Content
Algebra 1
0/10
Expressions
Exercise Set A
Linear Equations
Exercise Set B
Algebraic Division
Exercise Set C
The Number Line
Exercise Set D
Inequalities
Exercise Set E
Factors
0/10
Common Factors
Exercise Set A
Grouping
Exercise Set B
Difference of Two Squares
Exercise Set C
Quadratic Expressions
Exercise Set D
Algebraic Fractions
Exercise Set E
Venn Diagrams
0/4
Two Sets
Exercise Set A
Three Sets
Exercise Set B
Applied Arithmetic
0/10
VAT and Profit & Loss
Exercise Set A
Bills
Exercise Set B
Income Tax
Exercise Set C
Currency Exchange
Exercise Set D
Compound Interest
Exercise Set E
Statistics 1
0/2
Introduction to Statistics
Statistical Sampling
Length, Area & Volume
0/10
Parallelograms
Exercise Set A
Circles
Exercise Set B
Rectangular Solids
Exercise Set C
Prisms
Exercise Set D
Scale Drawings
Exercise Set E
Statistics 2
0/4
Mean, Mode, Median & Range
Exercise Set A
Frequency Tables
Exercise Set B
Geometry 1
0/10
Angles
Exercise Set A
Triangles
Exercise Set B
Congruent Triangles
Pythagoras’ Theorem
Exercise Set C
Quadrilaterals
Exercise Set D
Theorems and Proofs
Probability
0/8
Equally Likely Outcomes
Exercise Set A
Two Events
Exercise Set B
Probabilities from Experiments
Exercise Set C
Probability and Venn Diagrams
Exercise Set D
Simultaneous Equations
0/4
Solve using Algebra
Exercise Set A
Solve using Graphs
Exercise Set B
Coordinate Geometry
0/11
Length, Midpoint and Slope
Exercise Set A
Equation of a Line
Exercise Set B
Parallel & Perpendicular Lines
Exercise Set C
Graphing Lines
Exercise Set D
Intersection of Lines
Exercise Set E
Rates of Change
Distance, Speed & Time
0/6
Ratios
Exercise Set A
Working with Time
Exercise Set B
Distance, Speed & Time
Exercise Set C
Statistics 3
0/7
Pie Charts
Exercise Set A
Histograms
Exercise Set B
Stem & Leaf Plots
Exercise Set C
Misleading Graphs
Indices & Surds
0/12
Laws of Indices
Exercise Set A
Fractional Indices
Exercise Set B
Indices & Equations
Exercise Set C
Surds
Exercise Set D
Standard Form
Exercise Set E
Significant Numbers
Exercise Set F
Quadratic Equations
0/8
Solve using Factors
Exercise Set A
Solve using Quadratic Formula
Exercise Set B
Hidden Quadratic Equations
Exercise Set C
Forming Quadratic Equations
Exercise Set D
Geometry 2
0/7
Similar Triangles
Exercise Set A
Transversals
Exercise Set B
Circles
Exercise Set C
Theorems and Proofs
3D Objects
0/6
Cylinders
Exercise Set A
Spheres
Exercise Set B
Flow Rates
Exercise Set C
Patterns & Sequences
0/8
Introduction to Sequences
Exercise Set A
Linear Sequences
Exercise Set B
Sequences & Shapes
Exercise Set C
Quadratic Sequences
Exercise Set D
Functions
0/4
Mapping Diagrams
Exercise Set A
Function Coefficients
Exercise Set B
Real-Life Graphs
0/3
Distance-Time Graphs
Linear Graphs
Real-Life Graphs
Algebra 2
0/6
Algebraic Fractions
Exercise Set A
Equations involving Fractions
Exercise Set B
Using Formulae
Exercise Set C
Trigonometry
0/4
Sine, Cosine & Tangent
Exercise Set A
Using Trigonometry
Exercise Set B
Graphing Functions
0/6
Linear Functions & Graphs
Exercise Set A
Quadratic Functions & Graphs
Exercise Set B
Exponential Functions & Graphs
Exercise Set C
Geometry 3
0/8
Transformations
Exercise Set A
Symmetries
Exercise Set B
Rotations
Exercise Set C
Constructions
Exercise Set D
Digital Lessons (2nd & 3rd Year)
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Start with the quiz…

Knowledge Check Quiz

EXAMS.IE

Algebraic Long Division

HINT

Only like terms can be added or subtracted together.

1 / 5

There is no way to further simplify \(x^2+x^3\).

HINT

Like terms can be added or subtracted together.

2 / 5

Which of the following is equivalent to \(8x^3+2x^3\)?

HINT

\(\dfrac{x^a}{x^b}=x^{a-b}\)

3 / 5

Which of the following is equivalent to \(\dfrac{x^5}{x^3}\)?

HINT

\(x^ax^b=x^{a+b}\)

4 / 5

Which of the following is equivalent to \(x^4\times x^2\)?

HINT

What is the answer to this question for long division involving numbers only?

5 / 5

If I don't obtain a \(0\) at the end of an algebraic long division question, I have made a mistake.

Your score is

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