Active Worksheets home page
Home>Worksheets>Age 11-14 Algebra: Equations, formulae and identities
Click on the 'change' button and watch the numbers change. Click on the 'print' button to print a pupil worksheet and an answer sheet. The worksheets can be printed providing the password is entered. Buy a password
Choose the topic:

J: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 24 25 26 27 28 29 31 32 33 34 35

Simplify expressions
Whiteboard Worksheets activity

 

Load worksheet

 


Multiplying terms

Multiply out brackets




Look at the worksheet

Years 7-9 (age 11-14)
Simplify algebraic expressions.

J28: Simplify expressions
Use the 1, 2, 3 and 4 buttons to generate the worksheet:
level 1: 2a + 3a level 2: 2ab - 4ab level 3: 2a - 3b + 5a -6b level 4: 2x - 4y + 2x - 7y

Years 9-11 (age 14-16)

J31: Multiplying terms

Use these buttons to generate the worksheetUse these buttons to generate the worksheet:
1: eg 2 x a x b
2: eg 2p x 3q
3: eg 3ab2 + 2ab
4: a mixture

J32: Multiply out brackets

Use these buttons to generate the worksheetUse these buttons to generate the worksheet:
1: eg 2(3b + 4c)
2: eg 2(3b + 4c) + 3(2b - 3c)
3: eg 2b(3b + 4c)

J33: Factorise
6b + 8c Options 1 and 3 see above 6b2 + 8bc

J34: Rearrange formulas : change the subject of a formula
Five levels of difficulty (buttons 1 to 5). Button 6 generates a variety.


Construct and solve linear equations
Whiteboard Worksheets activity


Year 7 (age 11-12)
In an arithmagon, the number in a square is the sum of the numbers in the two circles on either side of it. What could the letters be? Find relationships between the letters. There are many possible solutions for the arithmagons. The answer sheet will give one set of solutions.

J2: Sum puzzle

Load the worksheet

An example of shape equations An example of letter equations

Year 7 (age 11-12)
Solve simple equations

J29: Balancing problems: what is the weight of a gold bar?
Use the 1 ,2 and 3 buttons to generate the equations. three levels of difficulty:
level 1: small whole number solutions

level 2: multiple of ten solutions

level 3:
gold bars on both sides

J3: Work out what number each shape represents (positive numbers)
J4: Work out what number each shape represents (positive and negative numbers)
J5: Work out the value of each letter (positive numbers)



Pyramid equations Whiteboard Worksheets activity
Years 8-9 (age 12-14)
In each pyramid each number is the sum of the two numbers immediately below. Find the value of n

J6: Pyramid 1 positive whole number solutions
J7: Pyramid 2 positive and negative whole number solutions
J8: Pyramid 3 positive whole number solutions.
J9: Pyramid 4 positive and negative whole number solutions
J10: Pyramid 5 positive whole number solutions
J11: Pyramid 6 positive and negative whole number solution

Square equations
Years 8-9 (age 12-14)
Work out the value of a and b so that each row and column adds up to the required total.

J12: Square equations 1: positive whole number solutions.

J13: Square equations 2: positive and negative whole number solutions.

Type 1
type 1
Type 2
type 2
Types 2 and 3
type 3(+), type 4( + and -)

Types 4 and 5
type 5(+), type 6( + and -)

Type 6
type 7
Type 7
type 8

Linear equations Whiteboard Worksheets activity
Years 7-8 (age 11-13)

J14: Solve equations
Eight levels of difficulty
. Click on the 1 to 8 buttons to generate the equations.

J15: Solve inequations and equations
Seven levels of difficulty
. Click on the 1 to 7 buttons to generate the equations.

Top of the page
Simultaneous equations
Whiteboard Worksheets activity

Link to shape people simultaneous equations worksheet

 

 

Link to simultaneous equations worksheet

Years 7-9 (age 11-14)
What numbers are hidden?

Two or three rows of polygon people are shown. Two numbers are hidden behind the shape people: one behind the triangle and one behind the circle. What are the hidden numbers?
J20a: Shape people and simultaneous equations (2 rows)
J20b: Shape people and simultaneous equations (3 rows)

Years 9-11 (age 14-16)
Traditional simultaneous equations

J21: Simultaneous equations generator

Click on the five option buttons to generate new simultaneous equations:
1. Positive answers and coefficients of x and y
2. Positive answers and positive and negative coefficients of y
3. Positive and negative answers and positive coefficients of x and y
4. Positive answers and positive and negative coefficients of x and y
5. Positive and negative answers and coefficients of x and y
Top of the page
Use formulae
Whiteboard Worksheets activity







example of expressions

Substitute numbers into expressions.
Year 7 (age 12-13)

J17: Substitute positive numbers positive answers


Year 8 (age 12-13)

J18: Substitute positive numbers

J19: Substitute positive and negative numbers


Time-distance-speed
Years 9-11 (age 14-16)

J25: Time-distance-speed formulae
Use the '1' and '2' buttons to generate a worksheet. The '2' button generates more difficult questions.
Top of the page
Solve quadratic equations
Whiteboard Worksheets activity

 

 

Factorise
Factorise

 

 

Trial and improvement

J26: Multiply out brackets

Use these buttons to create worksheetUse these buttons to generate the worksheet:
1: eg (x+3)(x+5)
2: eg (x-3)(x+5)
3: eg (2x+3)(3x+5)
4: eg (2x+3)(3x-5)

J27: Factorise
x + 3x - 10 Five options:

1: eg (x+3)(x+5)
2: eg (x-3)(x+5)
prime coefficients of x
4: eg (2x+3)(3x+5)
5: eg (2x+3)(3x-5)


J24: Solve quadratic equations
eg: x + 3x - 10 = 0.
Same options as above

J35: Solve equations using trial and improvement
Option 1 eg: x + 3x = 35
Option 2: x - 4x = 35
Option 3: x - 4x = 35

Top of the page


Active Maths Limited
registration no: 04713591
e-mail: admin@active-maths.co.uk
29 St James Road, Ilkley, West Yorkshire, LS29 9PY
tel: +44 (0) 1943 431024

Copyright © Active Maths Limited. All rights reserved