MATH PROBLEMS & WORKSHEETS

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Algebra Worksheets & Problems

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Page updated : 12 March 2018

Below are a number of worksheets covering elementary algebra problems.

Elementary Algebra is about manipulating mathematical expressions, with quantities represented by symbols e.g x, y or z. Using symbols instead of numbers makes it possible for work in a general rather than a specific way, and it allows us to manipulate and rewrite the relationships between quantities in different ways. This can also help with finding patterns.

Algebra is the generalization and representation, in symbolic form, of significant results and patterns in arithmetic and other areas of mathematics.

Calculus, an important branch of algebra, concerns itself with the study of behaviour of functions. It includes differential and integral calculus. Differential calculus is concerned with variations of functions, maximum and minimum values, gradients and approximations. Integral calculus is concerned with areas and volumes. Calculus has many applications in science.

Calculus was developed independently by Newton and Leibnitz in the 17th centuary.

High school math students can use these algebra problems for study purposes. High School Teachers - you're welcome to copy these worksheets for classroom use. Parents - if you'd like to help your child learn math we suggest you start with our math tutorial section before returning to use these worksheets.

Click on any heading to view the worksheet. All worksheets are printable, either as a .gif or .pdf.


ALGEBRA WORKSHEETS

The Great Algebra Egg Race A substitution board game. Year 9 or 10 Write on? Yes Answers? No Page 1 Page 2 Page 3		Year 9 Algebra Revision 1 Sheet Simplifying, true and false, matching columns, formulae etc. Year 9 Write on? No Answers? No Page 1 Page 2

What Next? Sequences and patterns - both linear and quadratic. Year 11 Write on? Yes Answers? No Page 1		HCS - Using your schools name in fun algebra problems Substitution School specific, but could be adapted. Year 8 or 9 Write on? No Answers? No Page 1

Algebra Mazes Simply algebraic terms. Can be made more difficult for older pupils. Write on? Yes Answers? No Page 1 Page 2 Page 3		Eating Cake Number pattern investigation. Year 11 Write on? Yes Answers? Yes Page 1 Page 2

Graphs Introduction to graphs and co-ordinate system. Year 8 or 9 Write on? No Answers? No Page 1		Algebra Revision Finding like terms and simplifying. Expanding and factorising. Linear and quadratic equations. Substitution. Year 11 Write on? No Answers? No Page 1

Crossnumber Logarithms on the calculator Year 12 Write on? Yes Answers? Yes Page 1 Page 2		What is It? Linear and simple quadratic equations with positive and negative answers. Year 9 or 10 Write on? Yes Answers? Yes Page 1 Page 2

Sketching Parabolas. Sketching transformations of the standard parabola. Year 11 or 12 Write on? Yes Answers? No Page 1

Maxima and Minima Word problems using derivatives. Year 12 Write on? No Answers? No Page 1		Linear Systems. Solving linear systems/equations graphically, algebraically and using a graphics calculator. Year 11 or 12 Write on? Yes Answers? No Page 1 Page 2 Page 3 Page 4

Simultaneous Equations Solving simultaneous equations graphically and algebraically. Year 11 Write on? Yes Answers? No Page 1		Convergence and Divergence. Can an infinite series converge? Year 11 - 13 Write on? Yes Answers? No Page 1 Page 2

Can you solve the following problems? 6 word problems that can be solved algebraically Year 9 - 12 Write on? Yes Answers? No Page 1 Page 2

The Great Potato Hunt Drawing culmulative frequency graphs Year 10 or 11 Write on? No Answers? No PDF, 2 pages		Linear Systems Solving Linear Systems Year 11 or 12 Write on? Yes Answers? No PDF, 4 pages

Ellipses Graphing, solving and writing equations for ellipses Year 13 Write on? Yes Answers? No Page 1		Factorisation Maze Factorisation of quadratic equations Year 10 or 11 Write on? Yes Answers? Yes Page 1 Page 2

Graph Project Collection of data and graphing a trend. Calculating rates of change and writing equations in standard from. Includes marking structure. Year 9 or 10 Write on? No Answers? No Page 1 Page 2		Surrounding Tiles Pattern Investigation. Year 9 or 10 Write on? No Anwers? No Page 1

		A Waiters Nightmare Pattern Investigation. Year 7 - 9 Write on? No Answers? Yes Page 1 Page 2

Homework Humdingers Correcting mistakes and common misconceptions in Algebra. Year 10 or 11 Write on? No Answers? No Page 1		Poster Design Design a poster using linear, quadratic and cubic graphs. Year 11 or 12 Write on? No Answers? No Page 1

Graphing Practice Plotting graphs using a tabular method. Introduction to gradients and intercepts. Year 9 or 10 Write on? Yes Answers? No Page 1		Algebra Investigations Pattern investigation. Year 7 - 9 Write on? No Answers? No Page 1 Page 2

ALGEBRA TUTORIALS

Solving Linear Equations
Learn how to solve simple algebriac equations like 4x - 5 = 3x + 7
Single variable only
This tutorial is suitable for students in Year 9 or 10
Solving Quadratic Equations
What if the variable has a power of 2 or is squared?
How to solve simple quadratic equations by square rooting and factorising.
The first part of this tutorial is suitbale for Year 10 students.
The second part of this tutorial is suitable for Year 11 students.
Introduction to Graphing - Cartesian Co-ordinates
How to plot points on a graph.
This tutorial is suitable for students in Year 9
Drawing Straight Line Graphs using the Tabular Method
Examples of the general equation ... y = mx + c
This tutorial is suitable for students in Year 9 or 10
Plotting Straight Line Graphs using the Intercept Method
Using the intercept method to obtain an x-intercept and a y-intercept and then plotting a straight line graph.
This tutorial is suitable for studentsin Year 10.
Drawing a Straight Line Graph using the Gradient Method
For the graph y = mx + c we can use the gradient (m) and the intercept (c) to plot a straight line graph.
This tutorial is suitable for students in Year 10.
Drawing Quadratic and Cubic Graphs
An introduction to the quadratic and cubic graphs and using the tabular method to plot them.
This tutorial is suitable for students in Year 11.

CALCULUS TUTORIALS

Introduction to Differentiation
Definitions, worked examples and exercises with solutions. Your first step to calculus.
This tutorial is suitable for students in Year 12.
Differentiation of Negative Indices & Rational Powers
You should review the differentiation of positive powers first (above) as negative indices are managed in the same way but you need to take care with the signs.
This tutorial is suitable for students in Year 12.
Applications of Differentiation
Using derivatives to find the grandient of a tangent and normal of straight line graphs.
This tutorial is suitable for students in Year 12 or 13.
Introduction to Integration
Sometimes called antidifferentiation, integration is the process of finding the definite or indefinite integral of a function.
This tutorial is suitable for students in Year 12.

A note about year levels

Where appropriate each worksheet is given a year level that it is applicable to. As we're all in different countries the year level corresponds to the number of years at school. So, for example, a worksheet for Year 11 is for students in their 11th year of school.
Worksheets for earlier or later years may still be suitable for you.

Please note : This is a free service and these worksheets are supplied on 'as is' basis. We will not enter into any correspondence on the content of the worksheets, errors, answers or tuition.

MATH PROBLEMS & WORKSHEETS

TEACHERS

Algebra Worksheets & Problems