Evaluating Expressions Using Order of Operations

Evaluating Expressions

• ​I can substitute and evaluate expressions using the order of operations.

• ​I can evaluate expressions involving absolute value.

• ​I can evaluate expressions involving exponents and square roots.

Vocabulary

• ​​Substitute - replacing a variable with a number

• ​​Order of operations - an order agreed upon by all mathematicians (and math students!) that should be followed closely : 1. Parentheses 2. Exponents 3. Multiplication 4. Division 5. Addition 6. Subtraction

• ​Evaluate - the process of simplifying by substituting and then solving using the order of operations

• ​Absolute Value - a number's distance from zero (on a number line)

  • ​Thus, absolute Values are always positive!

• ​Square root - the inverse of squaring a number

Multiple Choice

​I can substitute and evaluate expressions using the order of operations.

Evaluate the expression  $$a+b+c=$$   for  $$a=1,\ b=2,\ and\ c=3$$  

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Multiple Choice

​I can substitute and evaluate expressions using the order of operations.

Evaluate the expression $$\frac{4x+3z}{z+y}$$   for $$x=4,\ y=2,\ and\ z=3$$  

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Multiple Choice

​I can evaluate expressions involving absolute value.

$$-4-\text{|6-12| =}$$  

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Multiple Choice

​I can evaluate expressions involving absolute value.

$$3+\left|-2+7\right|\ =$$  

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Multiple Choice

​I can evaluate expressions involving exponents and square roots.

$$7^2+\sqrt{25}-14$$  

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Multiple Choice

​I can evaluate expressions involving exponents and square roots.

$$2\sqrt{6^2+13}=$$  

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