Understanding Expressions and Equations

The video tutorial guides viewers through solving a mathematical expression by substituting different values for the variable z. It covers the process of simplifying expressions using order of operations and finding common denominators. The tutorial demonstrates these steps for z values of -4, 5, and 1, providing detailed explanations and forming associated equations for each case.

What is the initial expression given in the problem?

• 2 + 3/4 z

• 2 - 3/4 z

• 3/4 z + 2

• 3/4 z - 2

When z = -4, what is the expression after substitution?

• 2 + 3/4 * (-4)

• 2 - 3/4 * (-4)

• 2 + 3/4 * 4

• 2 - 3/4 * 4

What is the result of the expression when z = -4?

• Negative five

• Positive five

• Zero

• Negative three

What is the associated equation for z = -4?

• 2 - 3/4 * (-4) = 3

• 2 - 3/4 * (-4) = 0

• 2 - 3/4 * (-4) = 5

• 2 - 3/4 * (-4) = -5

What is the expression after substituting z = 5?

• 2 - 3/4 * 5

• 2 + 3/4 * 5

• 2 + 3/4 * (-5)

• 2 - 3/4 * (-5)

What is the result of the expression when z = 5?

• Positive five fourths

• Negative five fourths

• Positive seven fourths

• Negative seven fourths

What is the associated equation for z = 5?

• 2 - 3/4 * 5 = -7/4

• 2 - 3/4 * 5 = -5/4

• 2 - 3/4 * 5 = 7/4

• 2 - 3/4 * 5 = 5/4

What is the expression after substituting z = 1?

• 2 + 3/4 * 1

• 2 + 3/4 * (-1)

• 2 - 3/4 * (-1)

• 2 - 3/4 * 1

What is the result of the expression when z = 1?

• Five fourths

• Seven fourths

• Negative five fourths

• Negative seven fourths

What is the associated equation for z = 1?

• 2 - 3/4 * 1 = 5/4

• 2 - 3/4 * 1 = -5/4

• 2 - 3/4 * 1 = 7/4

• 2 - 3/4 * 1 = -7/4