An expression is shown below:

3 (m + 5 + 9m)

Part A: Write two expressions that are equivalent to the given expression.

Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used.

Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m.

Question

Adam Holden

Mathematics

26 November, 00:26

An expression is shown below:

3 (m + 5 + 9m)

Part A: Write two expressions that are equivalent to the given expression.

Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used.

Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m.

+5

Answers (1)

Know the Answer?

Gideon Benton · Answer 1

3 (m + 5 + 9m)

A.

(1) 3m + 15 + 27m

(2) 3 (10m + 5)

B. 3 (m + 5 + 9m) ... distributive property

(3 * m) + (3 * 5) + (3 * 9m) =

3m + 15 + 27m

C. 3 (m + 5 + 9m) = 3 (10m + 5) ... m = 1

3 (1 + 5 + 9 (1) = 3 (10 (1) + 5)

3 (1 + 5 + 9) = 3 (10 + 5)

3 (15) = 3 (15)

45 = 45