Question

For each algebraic equation, select the property or properties that could be used to solve it. Properties are: Addition or Subtraction Property of Equality, Multiplication or Division Property of Equality, Distributive Property, and Commutative Property. Algebraic equations are: x/2 = 5 , 2x + 7 = 13 , 4x = 23 , x - 3 = -4 , 4(x + 5) = 40 , 10 + x = 79 , -8 - x = 19 , 2(x -8) + 7x = 9​

Answer 1

The properties that can be used to solve algebraic equations are Addition or Subtraction Property of Equality, Multiplication or Division Property of Equality, and Distributive Property.

Step-by-step explanation:

The properties that can be used to solve each algebraic equation are as follows:

1. Addition or Subtraction Property of Equality: This property allows us to add or subtract the same value from both sides of an equation to maintain equality. Example: x - 3 = -4
2. Multiplication or Division Property of Equality: This property allows us to multiply or divide both sides of an equation by the same value to maintain equality. Example: 2x + 7 = 13
3. Distributive Property: This property allows us to expand and simplify expressions by multiplying each term inside the parentheses by a factor outside the parentheses. Example: 4(x + 5) = 40