Operations with Negative Numbers and Variables

The video tutorial teaches how to evaluate mathematical expressions by substituting given values for variables. It demonstrates the process with two examples, emphasizing the importance of following the order of operations. The tutorial also explains how to handle expressions with multiple variables and how to simplify expressions by separating the numerator and denominator. The final steps involve ensuring the correct application of operations to arrive at the correct result.

What is the first step in evaluating an expression with given variable values?

• Add all the numbers together

• Substitute the values of the variables

• Multiply all the numbers

• Divide the numbers

If x = 3 and y = -2, what is the result of x squared?

• 3

• 5

• 9

• 6

What is the result of squaring -2?

• 4

• 0

• 2

• -4

What operation should be performed first according to the order of operations?

• Exponential expressions

• Addition

• Division

• Subtraction

In the expression -3x + z^2 / y - z, what is the value of z?

• 2

• -2

• 3

• -3

What is the correct way to write 'minus negative 2'?

• 2

• 2-

• -2

• -(-2)

What is the first step in solving the expression -3x + z^2 / y - z?

• Square z

• Multiply -3 and x

• Add z and y

• Subtract y from z

When handling the numerator and denominator separately, what should you do first?

• Evaluate exponential expressions

• Multiply the numbers

• Subtract the numbers

• Add the numbers

What is the result of negative 3 times 2?

• 0

• 6

• -6

• 3

What is the result of negative 3 plus 2?

• -1

• 0

• 2

• 1