For the first part, simplify
each expression. We have
x + 4x + 6x = 11x (you can add
them because they have the same variable of x. It follows the addition property)
9(5x) = 45x (you can multiply
them even if 9 has no variable, it follows the distributive property of
multiplication)
7(3x + 5y) = 21x + 35y (the same explanation as in the previous problem)
5(6x - 3y) = 30x – 15 y (the same explanation as in the previous problem)
For the second part, factor the
expression. We have,
24x + 18y
You have to find the greatest
common factor of 24 and 18. If we try 6, we get 4 and 3. And 4 and 3 cannot be
broken down further, therefore the expression becomes 4x + 3y.
