Framing Algebraic Expressions for Mathematical and Real-World Problems

Nine times the sum of a number and three

• 9(3x)

• 9(x + 3)

• 9(x - 3)

• 9x(3)

What is the correct expression for:

Twice as long as 10

• 10 - 2

• 10 + 2

• 10 / 2

• 10 X 2

a number increased by sixty-five

• v+65

• 65v

• v/65

• v-65

w increased by 5

• w - 5

• 5w

• w + 5

Sum of p and twice q.

• A. x + 2y

• B. p + 2q

• C. 2p + q

• D. 2(a + b)

Translate the phrase: the difference of twice a number and 9.

• -2n+9

• 2n-9

Answer explanation

Difference means subtraction, difference of 9 means subtract 9.

Write an algebraic expression for p decreased by 7

• 7 - p

• p + 7

• 7 + p

• p - 7

16 less than b

• b - 16

• 16 - b

• 16 ^ b

• 2b

Which of the following represents the phrase: "5 less than a number, j" ?

• j - 5

• 5 - j

• 5j

• 5/j

What is a number decreased by seventeen?

• n + 17

• n - 17

• 17 + n

• 17 - n