Order of Operations and Expressions

Mr. Buffington's lesson covers solving expressions by substituting integers, including positive and negative numbers, and handling fractions. The video provides examples and practice problems, emphasizing the order of operations. It also includes challenge problems with decimals and negative numbers, aiming to build confidence in solving complex expressions.

What is the first step in solving expressions with integers?

• Multiply all numbers first

• Divide all numbers first

• Substitute given values for variables

• Add all numbers first

In the expression 3m + 2n, if m = 2 and n = 4, what is the result?

• 16

• 14

• 10

• 12

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

• Addition

• Subtraction

• Multiplication

• Division

If x = 3 and y = 1, what is the result of 5x - 8y?

• 10

• 7

• 9

• 8

How do you solve an expression with a fraction bar?

• Subtract the denominator from the numerator

• Solve the numerator and denominator separately, then divide

• Multiply the numerator and denominator

• Add the numerator and denominator

What is the result of 5x/2y + 1 when x = 4 and y = 2?

• 2

• 3

• 4

• 5

In the expression 2xy/2 + z, if x = 2, y = 3, and z = 4, what is the result?

• 4

• 1

• 2

• 3

What is the first step in solving expressions with negative integers?

• Ignore the negative sign

• Substitute the negative values for variables

• Add all numbers first

• Multiply all numbers first

What is the result of 6a - 4b when a = -3 and b = 3?

• -6

• -30

• -18

• -12

How do you handle a negative divided by a positive?

• The result is negative

• The result is undefined

• The result is positive

• The result is zero