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Grade 7 Maths: Algebraic expressions poster

A one-page CAPS Grade 7 Maths poster on algebraic expressions (Patterns and algebra), with the key ideas, key words and a tip to remember.

CAPS Grade 7MathsPatterns and algebraFree
Maths · Grade 7 · Patterns and algebra
Algebraic expressions

1Variables, constants and terms

A variable is a letter that stands for a number. A constant is a number on its own. Terms are separated by + and −.

Example

In 4y + 9:
variable y, constant 9, 2 terms
The number 4 is multiplied by y.

2Words to symbols

  • more than, add, sum: +
  • less than, subtract, take away: −
  • twice, times, product: ×
  • share, divide: ÷
Example

6 more than x: x + 6
2 less than p: p − 2
twice a number m: 2m

3Substitution

Replace the letter with its value. Then work out the answer in the right order.

Example

5a − 3 when a = 7:
5 × 7 − 3 = 35 − 3 = 32
x² + 1 when x = 6:
6² + 1 = 36 + 1 = 37

4Like terms

Like terms have the same letter. Add or subtract their numbers. Unlike terms cannot be joined.

Example

8m + 2m = 10m
9k − 5k = 4k
7p + 2q stays 7p + 2q

5Writing expressions for problems

Choose a letter for the unknown number. Then use the story to build the expression.

Example

A notebook costs R12.
n notebooks cost 12n rand.
7 notebooks: 12 × 7 = R84

Key words

variable
a letter that stands for a number
constant
a number that does not change
term
a part of an expression
like terms
terms with the same letter
expression
numbers, letters and operations
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