Evaluating Expressions with Substitution

The video tutorial demonstrates how to evaluate the expression 6 times the square of the quantity (5x - y - 9z) by substituting given values for x, y, and z. The process involves following the order of operations: simplifying within parentheses, calculating exponents, and performing multiplication and subtraction. The final result is verified using a calculator, confirming the expression equals 231 when x=2, y=3, and z=7.

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

• Performing addition

• Multiplying constants

• Simplifying exponents

• Performing substitution

What is the value of x used in the substitution?

• Nine

• Seven

• Three

• Two

After substituting the values, what operation should be performed first inside the parentheses?

• Addition

• Multiplication

• Division

• Subtraction

What is the result of simplifying the expression inside the parentheses after substitution?

• Three

• Five

• Ten

• Seven

What is the value of seven squared?

• 35

• 21

• 49

• 14

What is the result of multiplying six by 49?

• 63

• 147

• 294

• 231

What is the result of multiplying nine by seven?

• 63

• 72

• 56

• 81

What is the final result of the expression after performing all operations?

• 231

• 294

• 63

• 200

What is the purpose of using a calculator at the end of the problem?

• To substitute values

• To simplify the expression

• To verify the solution

• To find a new solution

What is the expression being evaluated in this problem?

• Five times the square of the quantity six x minus y minus nine z

• Six times the square of the quantity five x minus y minus nine z

• Nine times the square of the quantity five x minus y minus six z

• Six times the square of the quantity nine x minus y minus five z