Order of Operations and Algebra Expressions

The specific order in which certain operations are to be carried out to evaluate or simplify expressions. The _________________ is: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

• Combining like terms

• Simplify

• Order of Operations

• Variable

A(n) __________ is a combination of individual terms separated by plus or minus signs. A(n) __________ does not have an “equals” sign.

• Order of Operations

• Expression

• Algebra Tiles

• Simplify

The rules when more than one operation is used in an expression.

• order of operations

• counterexample

• deductive reasoning

• domain

A(n) ___ contains variables, numbers, and at least one operation.

• numeric expression

• algebraic expression

• equation

• order of operations

Simplify the expression.
(3³ − 4) + 5²

• 48

• 15

• 30

• 33

Evaluate the expression for c = 3 and d = 5.
d³ ÷ 15

• 8  1/3

• 2/5

• 1  4/5

• 3/5

Evaluate the expression for c = 3 and d = 5.
(2 + d)² − 3²

• 40

• 5

• 8

• 43

Evaluate the expression for c = 3 and d = 5.
cd² + 4

• 79

• 229

• 34

• 68

Evaluate the expression for c = 3 and d = 5.
(3c² − 3d)² − 21

• 123

• - 5

• 61

• 221