Understanding Expressions with Variables

The video tutorial explains how to evaluate the expression 0 + y + -7 for different values of y: -3, 0, and 7. It demonstrates the process using number lines and absolute values, showing that when y is -3, the result is -10; when y is 0, the result is -7; and when y is 7, the result is 0. The tutorial emphasizes understanding the movement on a number line and the concept of adding negative numbers.

What is the expression we are evaluating in this problem?

• 0 + y + 7

• y + 7

• 0 + y - 7

• y - 7

When y = -3, what is the result of the expression 0 + y + -7?

• 3

• -10

• 0

• -7

What is the absolute value of -7?

• 14

• -7

• 0

• 7

What is the absolute value of -3?

• 3

• -3

• 0

• 6

What is the result of the expression when y = -3?

• -10

• -7

• 0

• 3

How does adding zero affect the value of an expression?

• It makes the value negative

• It does not change the value

• It halves the value

• It doubles the value

What is the result of the expression when y = 0?

• 0

• -10

• -7

• 7

When y = 7, what is the result of the expression 0 + y + -7?

• 7

• 0

• 14

• -7

What is the equivalent operation of adding a negative number?

• Multiplying by a positive number

• Dividing by a negative number

• Subtracting the number

• Adding a positive number

What is the final position on the number line when starting at 7 and adding -7?

• -7

• 14

• 7

• 0