Simplify Algebraic Expressions with Multiplication and Division

lets you simplify expressions wherein you multiply a number by a sum or difference.

• distributive property

• variable

• term

• algebraic expression

combines both numbers and letters using the arithmetic operations of addition (+), subtraction (–), multiplication (·), and division (÷) to express a quantity.

• algebraic expression

• variable

• coefficient

• term

Six divided by the product of -7 and b.

• 6/b-7

• 6/-7b

• -7b/6

• b-7/6

Simplify the Expression: 10x - 3(2x + 8)

• 4x - 24

• -4x + 24

• 16x - 24

• 14x - 6

Simplify the following expression:
(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

a³×a⁴

• 7a

• 12a

• a¹²

• a⁷

What are the rules when simplifying multiplication expressions?

• Multiply numbers normally

• Add the powers of the same "letters"

• Put letters together in alphabetical order

• All of them

Simplify the expression
7u²v⁵ (9uv³)

• 16u²v⁸

• 63u³v¹⁵

• 63uv⁸

• 63u³v⁸

8ab / 4a

• 2b

• 2

• 2a

Write the algebraic expression:

the product of 4 and p divided by 12

• ^4p/₁₂

• ¹²/_4p

• 4p

• 12p