Evaluating Expressions with Substitution and Order of Operations

The video tutorial explains how to evaluate a complex algebraic expression by substituting given values for variables and simplifying the expression using the order of operations. It covers substitution, simplification with exponents, multiplication, and addition. The result is verified using a graphing calculator, ensuring the accuracy of the solution.

What is the first step in evaluating the expression when given specific values for z and x?

• Performing addition and subtraction

• Substituting the given values into the expression

• Simplifying the expression using exponents

• Using a calculator to verify the result

Tags

CCSS.6.EE.A.2C

When substituting values into the expression, what should be used to ensure accuracy?

• Brackets

• Parentheses

• Division

• Exponents

Tags

CCSS.5.NBT.A.2

What is the result of squaring negative five?

• Negative twenty-five

• Zero

• Positive twenty-five

• Negative ten

Tags

CCSS.6.EE.A.2C

Which operation is performed after simplifying expressions with exponents?

• Verification

• Multiplication and division

• Addition and subtraction

• Substitution

What is the result of multiplying six by the square of negative five and three squared?

• 1,350

• 1,500

• 1,450

• 1,200

Tags

CCSS.6.EE.A.2C

After substituting and simplifying the expression, what is the next step?

• Re-substitute the values

• Multiply and divide from right to left

• Perform addition and subtraction from left to right

• Verify the result with a calculator

Tags

CCSS.6.EE.A.2C

What is the final result of the expression when z = -5 and x = 3?

• 1,292

• 1,305

• 1,350

• 1,285

Tags

CCSS.4.NBT.B.4

What is the result of adding 1,305 and 15?

• 1,320

• 1,285

• 1,292

• 1,300

Tags

CCSS.6.EE.A.2C

What is the final step in the order of operations for this expression?

• Substituting values

• Simplifying exponents

• Adding and subtracting

• Multiplying and dividing

Tags

CCSS.6.EE.A.2C

What is the purpose of using a graphing calculator in this context?

• To graph the expression

• To simplify the expression further

• To verify the calculated result

• To find the derivative of the expression