Answer:
QUESTIONS ⤵️
Did you find any difficultylies in performing the task given to you? if yes explain
ANSWER ⤵️
Yes, I encounter any difficulty in performing the task but no need to worry just stay still relax inhale exhale
QUESTIONS ⤵️
What properties of equality did you apply in rewriting the equations?
ANSWER ⤵️
1. Addition
If a = b, then a + c = b + c
If a = b, then a + c = b + cExample
If a = b, then a + c = b + cExampleIf x – 3 = 7, then x = 10 by adding 3 on both sides.
If a = b, then a + c = b + cExampleIf x – 3 = 7, then x = 10 by adding 3 on both sides.2. Subtraction
If a = b, then a – c = b – c
If a = b, then a – c = b – cExample
If a = b, then a – c = b – cExampleIf x + 2 = 11, then x = 9 by subtracting 2 on both sides.
If a = b, then a – c = b – cExampleIf x + 2 = 11, then x = 9 by subtracting 2 on both sides.3. Multiplication
If a = b, then ac = bc
If a = b, then ac = bcExample
If a = b, then ac = bcExampleIf x/4 = 5, then x = 20 by multiplying by 4 on both sides.
If a = b, then ac = bcExampleIf x/4 = 5, then x = 20 by multiplying by 4 on both sides.4. Division
If a = b and c is not equal to 0, then a / c = b / c
If a = b and c is not equal to 0, then a / c = b / cExample
If a = b and c is not equal to 0, then a / c = b / cExampleIf 8x = 16, then x = 2 by dividing by 8 on both sides.
If a = b and c is not equal to 0, then a / c = b / cExampleIf 8x = 16, then x = 2 by dividing by 8 on both sides.5. Distributive
If a (b + c), then a (b + c) = ab + ac
If a (b + c), then a (b + c) = ab + acExample
If a (b + c), then a (b + c) = ab + acExampleIf 3(x + 2), then 3(x + 2) = 3x + 6 by multiplying both x and 2 by 3.
If a (b + c), then a (b + c) = ab + acExampleIf 3(x + 2), then 3(x + 2) = 3x + 6 by multiplying both x and 2 by 3.6. Substitution
If a = b, then either a or b may be substituted into any algebraic equation or expression for the other.
If a = b, then either a or b may be substituted into any algebraic equation or expression for the other.Example
If a = b, then either a or b may be substituted into any algebraic equation or expression for the other.ExampleIf 5x – 2y = z and x = y, then 5x – 2x = 12 or 5y – 2y = 12 by the substitution property.
