Property of equality in Multiplication

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Property of equality in Multiplication

• Objective 10

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Property of equality in Multiplication
Congratulations You are now ready to move on to
algebra.
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Property of equality in Multiplication

• We will start with learning about linear
  equations and how to solve these equations.
• You will use this skill the rest of your life.

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Property of equality in Multiplication

• If you have a series of letters, numbers, or
  symbols with an equal sign in the string, this
  string is an equation.
• The equal sign means that the expressions on
  each side of the sign are equal to each other.
• If the expressions are not equal we use a sign
  with a slash through it.

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Property of equality in Multiplication

If we dont know if they are equal then we use a
sign with a question mark above the sign.
?

Equation Equal GET IT?
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Property of equality in Multiplication

• In this equation x is an unknown value.
• 3x 5 9
• Unknowns are normally shown by the letters close
  to the end of the alphabet.

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Property of equality in Multiplication

• 3x 5 9
• This equation says three times some number added
  to 5 is equal to 9.

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Property of equality in Multiplication

Symbols can also represent unknown values. Two
symbols that look the same represent the same
value.
This symbol has the same value as this symbol.
This symbol can be a different value than this
symbol.
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Property of equality in Multiplication

• The left hand side and the right hand side of
  equations are equal, so we can change both sides
  in the same way and they will still be equal.
• If we add or subtract the same number from each
  side the sides are still equal.
• If we multiply, divide or do any other function
  equally to each side they are still equal.

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Property of equality in Multiplication

Adding and Subtracting y 3x Add 2 to each
side. y2 3x 2 y 3x Subtract 5 from
each side. y 5 3x -5
Multiplying and Dividing Y 3x Divide by 4.
y/4 (3x)/4 Y 3x Multiply by 4. 4y
4(3x) Change both sides the same and they are
still equal.
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Property of equality in Multiplication

Raising both sides to a Power. Squaring Y 3X
Y2 (3X)2 Square Root Y 3X v Y v3X
Change both sides the same way and they are still
equal.
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Property of equality in Multiplication

Example 1 3x 6 Multiplying both sides by 1/3 3x
(1/3) 6 (1/3) X 2
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Property of equality in Multiplication

Example 2
3 6 Multiplying both sides by 1/3 3(1/3)
6 (1/3) 2
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Property of equality in Multiplication

Example 3


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The End