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Grade 8 Maths Summary - Exponents and Algebra

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This document is a summary of the most basic aspects of exponents and algebra. It covers the main exponential laws as well as how to identify like and unlike terms and what equations, expression and terms etc. are. It is a good summary for an introduction to Gr 8 Mathematics

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Uploaded on
August 6, 2021
Number of pages
1
Written in
2021/2022
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Summary

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EXPONENTS:

What are the 3 parts of an exponent?

2x3
2 = co – efficient

X = base

3 = exponent

What are the 4 rules of exponents?

1. 2x2 + 3x2 (WHEN YOU ADD TERMS WITH EXPONENTS YOU ONLY ADD WHEN THE BASE
AND EXPONENT ARE THE SAME)
2. X2 x X3 (WHEN YOU TIMES TERMS WITH THE SAME BASE YOU ADD THE EXPONENTS)
3. (a2b4)2 ( WHEN YOU RAISE TERMS WITH EXPENENTS TO THE POWER OF ANOTHER
EXPONENT; YOU MULTIPLY THE EXPONENT)
4. X3y2 ÷ X2 (WHEN YOU DIDVIDE TERMS WITH SIMILAR BASES YOU SUBTRACT THE
EXPONENTS)
5. X2y2 + y2 X2
6. Xy x Xy

WHAT IS AN ALGEBRAIC EXPRESSION?

Variable = x; y, z etc.

Constant = x2 + 10 (it never changes)

Term = is a part of an equation. Are separated by + and – signs

Expressions = made up of terms and has no equals sign.

Equation = has = sign.

2x = 3

HOW THE NUMBER OF TERMS AFFECTS AN EPRESSION.

2x2 + 3x + 2 = Trinomial

2x + 2 = binomial

2x = monomial

LIKE AND UNLIKE TERMS

Base and exponent are the same
X2 and y2 = unlike terms.
3 and 5 = like terms (exception to rule)
Y2 + 2y2 = 3y2 – like terms
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