13.1.1 Simplifying Expressions

Question 1

terms of an expression

Answer 1

the parts that are added together.

Question 2

like terms

Answer 2

terms that contain the same variables raised to the same powers

Question 3

coefficient

Answer 3

a number multiplied by a variable

Question 4

Commutative Property

Answer 4

Two numbers can be added in any order and two numbers can be multiplied in any order. a + b = b + a
ab = ba

Question 5

Associative Property

Answer 5

In the sum or product of three (or more) numbers, any pair of numbers can be grouped together. a + b + c = (a + b) + c = a + (b + c) abc = (ab)c = a(bc)

Question 6

Distributive Property

Answer 6

The product of a number and a sum can be computed by finding the sum first and then multiplying
the sum by the number or by multiplying each term in the sum by the number first and then adding those two products. a(b + c) = ab + ac and a(b – c) = ab – ac