Translating Statements into Algebraic Expressions

The video tutorial guides viewers through converting verbal phrases into mathematical expressions. It covers various operations such as quotients, differences, sums, and products, using variables to represent unknown numbers. The tutorial emphasizes understanding the language of mathematics and how to translate it into expressions, providing examples and explanations for clarity.

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

• (2n / 3) - 2

• 2n / (3 - 2)

• 2n - 3

• 2 / (n - 3)

Which variable is used to represent the unknown number in the first phrase?

• p

• a

• b

• n

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

• 4 / (a - 3)

• a - 4 * 3

• 4a - 3

• 4(a - 3)

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

• 3 + (b + 5)

• b + 3 * 5

• 3b + 5

• 3(b + 5)

Which variable is used to represent the unknown number in the third phrase?

• b

• n

• w

• a

How do you write 'the sum of five times a number and four'?

• 5 + 4w

• 5w + 4

• 5(w + 4)

• w + 5 * 4

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

• p * (7 - p) + 3

• p - 7 * p + 3

• (p - 7) * (p + 3)

• (p - 7) + (p + 3)

Which variable is used to represent the unknown number in the fifth phrase?

• a

• b

• p

• n

How do you express 'five fewer than the product of a number and three more than the number'?

• y * (y + 3) - 5

• 5 - y * (y + 3)

• y - 5 * (y + 3)

• (y + 3) * y - 5

What is the phrase for the expression '2x + 1'?

• Twice a number plus two

• One less than twice a number

• Two times a number plus one

• One more than twice a number