J28: Simplify algebraic expressions
Use the 1, 2, 3 and 4 buttons to generate the expressions. Four levels of difficulty, for example:
level 1: 2a + 3a level 2: 2ab - 4ab level 3: 2a - 3b + 5a -6b, level 4: 2x³ - 4y + 2x³ - 7y.
Use these buttons to generate either one expression or ten expressions.

Balancing problems

J29: What is the weight of a gold bar?
Use the 1 ,2 and 3 buttons to generate the expressions. Three levels of difficulty, for example:
level 1: small whole number solutions
level 2: multiple of ten solutions
level 3: gold bars on both sides
Use these buttons to generate either one problem or four problems.
J30: What is the weight of a gold bar? : solver
Options as above. This resource solves balance problems step by step. Click on the forward and back buttons to go through the steps. Click underneath the scales to reveal the equation.

Simultaneous equations with a difference

J1: Fishy Equations

Work out the weight of each fish. A fishy introduction to simultaneous equations!

 

J20: Shape people and simultaneous equations

Two or three rows of polygon people are shown (click the '2 rows' or '3 rows' buttons). Two numbers are hidden behind the shape people: one behind the triangle and one behind the circle. What are the hidden numbers? Click on the shape people to show or hide the numbers.

Traditional simultaneous equations

J21: Simultaneous equations generator

Click on the four option buttons to generate new simultaneous equations:
1. Positive answers and coefficients of x and y
2. Positive and negative answers and positive coefficients of x and y
3. Positive answers and positive and negative coefficients of x and y
4. Positive and negative answers and coefficients of x and y

J2: Sum puzzle

Solve simple equations

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
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
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.

Linear equations

J14: Type 1

J15: Type 2

J16: Type 3

J17: Type 4

Substitute numbers into expressions.

J18: Substitute positive numbers

J19: Substitute positive and negative numbers

J25: Use distance, time and speed formulae

	Explain the relationships between time, distance and speed. A train moves along a track: change the distance it travels, the time it takes or the speed it travels at. The formula can be revealed when the train stops moving.
	Select the two variables using these buttons. Use the sliders to change the distance, time or speed.
	From left: hide/show the train. Start the train. A new set of variables. Zoom in or out of the train journey.

J22: Multiply out brackets (positive values only)
eg (3x +2)(2x + 1) = 6x² + 10x + 2
factorise the expression 6x² + 10x + 2
J23: Multiply out brackets (positive and negative values)
eg (3x -2)(2x + 1) = 6x² - x - 2
factorise the expression 6x² - x - 2

Use these buttons to generate a new expression. Click the '1' button to ensure the coefficient of the x terms is 1. Click the '2' button to have random coefficients of x. The diagram might not fit on the screen, click again if this happens.
The diagrams are drawn to scale: can you say what the value of x is?

Use these buttons to hide or show the expression or the factorised expression.

J24: Solve quadratic equations
eg: x² + 3x - 10 = 0
Click twice under each equation to reveal the solutions.