6. Name the like terms in the following expression.
5m + 4 + 3m + 6p
7. Write an equation for the following:
Twelve times h equals one hundred twenty minus thirty-six.State whether the equation
is true, false, or an open sentence. Explain.
8. Use the Distributive Property to simplify. Show all steps.
8(6 – 2) (2 points)
9. Use the Distributive Property to multiply. Show all steps.
7(c + 4) (2 points)
10. Simplify the following expression.
z – 2z + 4z + 6
6)
8m + 6p + 4
7)
12h = 120 - 36
True
I did two of your problems. Now it's your turn.
I'll be glad to check your answers.
6. Like terms are terms that have the same variable(s) raised to the same power(s). In the given expression, the like terms are:
5m and 3m (both have the variable m)
4 (constant term)
6p (has the variable p)
7. The equation can be written as:
12h = 120 - 36
This equation is a true statement because if we simplify both sides of the equation, we get:
12h = 84
Dividing both sides by 12:
h = 7
This satisfies the equation, making it true.
8. Using the Distributive Property, we multiply the factor 8 with each term inside the parentheses:
8(6 - 2) = 8(6) - 8(2)
= 48 - 16
= 32
9. Using the Distributive Property, we multiply the factor 7 with each term inside the parentheses:
7(c + 4) = 7c + 7(4)
= 7c + 28
10. Simplifying the expression:
z - 2z + 4z + 6
Combine the like terms (terms with the same variable):
(1 - 2 + 4)z + 6
3z + 6