Expressions and Their Interpretations

The video tutorial guides students through converting phrases into mathematical expressions. It covers various operations such as quotients, differences, sums, and products, using variables to represent unknown numbers. The tutorial emphasizes the importance of understanding mathematical terms and using parentheses correctly to ensure accurate expression formation.

What is the expression for 'two less than the quotient of twice a number and three'?

• (2n / 3) - 2

• 2n - 3

• 3 / (2n - 2)

• 2 / (3n - 2)

How would you express 'four times the difference between a number and three'?

• 4(a - 3)

• 4a - 3

• a - 4

• 3(a - 4)

Which phrase matches the expression '3(b + 5)'?

• Three plus five times a number

• Five times the sum of three and a number

• Three times the sum of a number and five

• Three times a number plus five

What is the expression for 'the sum of five times a number and four'?

• 5 + 4w

• 4w + 5

• 5w + 4

• w + 5 + 4

How would you express 'the product of seven fewer than a number and three more than the number'?

• (p + 7)(p - 3)

• 7p - 3p

• (p - 7)(p + 3)

• p(7 - 3)

What is the expression for 'five fewer than the product of a number and three more than the number'?

• y + 3 - 5

• 5(y + 3) - y

• 5 - y(y + 3)

• y(y + 3) - 5

Which phrase matches the expression '2x + 1'?

• Twice a number plus one

• Two times a number minus one

• One less than twice a number

• One more than twice a number