Algebra

Review of whole number patterns

Pictorial representations of algebra

Components in an expression

Laws of arithmetic with algebraic terms

Build algebraic expressions I

Describing patterns using algebra (Investigation)

Build algebraic expressions II

Expressions vs equations

Substitute into algebraic expressions I

Build algebraic equations I

Build algebraic equations II

Add and subtract algebraic terms I

Add and subtract negative algebraic terms

Rules for describing sequences

Find the rule from a table of values

Algebra in context

Magic Squares and Algebra (Investigation)

Identify equivalent expressions

Substitute into algebraic expressions II

Substitute to complete a table of values

Substitute into algebraic add/sub expressions

Add and subtract algebraic terms II

Substitute into algebraic expressions III

Multiply algebraic terms

Divide algebraic terms

Perform mixed operations with algebraic terms

Substitute into algebraic expressions IV

Substitute into common formulae

Substitution resulting in an equation

Multiply algebraic terms with negatives

Divide algebraic terms with negatives

Mixed operations with algebraic terms (incl negatives)

Algebraic fractions

Simplify algebraic expressions involving multiple operations

Distributive law I

Distributive law (non-linear terms)

Build algebraic expressions III

Factor numeric factors

Rewriting expressions

Equivalent expressions

Algebra in measurement

Simplify algebraic expressions involving distributive law

Substitute into algebraic expressions

Multiply and divide algebraic terms

Multiply algebraic terms with indices

Divide algebraic terms with indices

Identify highest common algebraic factor

Simplify non- linear algebraic expressions

Distributive law II

Simplify non-linear algebraic expressions involving distributive law

Expand binomial expressions

Factor algebraic terms

Problem solving

Simplify further algebraic expressions

Identify components in an expression

Expand further binomial expressions

Expand perfect squares

Expand difference of two squares

United Kingdom England

Key Stage 3

Expand binomial expressions

Interactive practice questions

The area of the figure below is $\left(y+3\right)\left(y+7\right)$(y+3)(y+7). We want to find another expression for this area by finding the sum of the areas of the four smaller rectangles.

A big rectangle segmented into four smaller rectangles. Rectangle $A$A, $B$B, $C$C, and $D$D. Rectangle $A$A is located at the bottom left of the big rectangle, with length and width labeled to measure $y$y, indicating their unknown measure. Rectangle $B$B is situated above $A$A, at the top left side of the big rectangle, with width measuring $3$3 units. The bottom side of Rectangle $B$B is same as the top side of Rectangle $A$A. Rectangle $C$C is located at the bottom right of the big rectangle with length measuring $7$7 units. The left side of Rectangle $C$C is same as the right side of Rectangle $A$A. Rectangle $D$D is situated above $C$C, at the right of $B$B, at the top right side of the big rectangle. The bottom side of Rectangle $D$D is same as the top side of Rectangle $C$C. And the left side of Rectangle $D$D is same as the right side of Rectangle $B$B.

a

What is the area of rectangle $A$A?

b

What is the area of rectangle $B$B?

c

What is the area of rectangle $C$C?

d

What is the area of rectangle $D$D?

e

Using the areas of each rectangle, write an equivalent expression for the area of the figure.

Easy

2min

Fill in the blanks to make the expression true.

Easy

1min

Fill in the blanks to make the expression true.

Easy

< 1min

What expression makes the equation true?

Easy

< 1min

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