Introduction to Algebraic Expressions

Introduction to Alebraic Expressions

By Earl Abuel

1 + 1 + 1 = 3 x 1

2 + 2 + 2 = 3 x 2

3 + 3 + 3 = 3 x 3

t x t x t = 3 x t​

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​Look at this pattern

Here are some examples of expressions using variables

• 3 x a is written as 3a, and a x b is written as ab.

• x ÷ 5 is written as x/5.

• 3 + 3 + 3 + 3 is the same as 4 grous of 3 or 4 times 3​. So, y + y + y + y is the same as 4 groups of y, or 4y.

• 2 x m = 2m, y x 6 = 6y, 2a ÷ 3 = 2a/3, 5 x a x b = 5ab​

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• When a numeral is multiplied by a variable, the numeral should be written first.

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Remember

m²​ = m x m, in the same way as, 7²​ = 7 x 7.

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m²​ is read as "m squared" and 7²​ is read as "seven squared"

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Multiple Choice

Simplify 3 x 2m

• 5m

• 6m

• 3 x 2m

• No answer

Multiple Choice

Simplify 5a x 3

• 8a

• 25a

• 15a

• 2a

Multiple Choice

Simplify 4 x 2a x b

• 6a x b

• 6a + b

• 8ab

• 8a x b

Multiple Choice

Simplify 6 x 3c x 10

• 19c

• 100c

• 18c

• 180c

​That's it for today! Have a great day and God bless you all!