Question

1. Translate the following word phrase into an algebraic expression: seven times the difference of y and one. 2. Translate the following word phrase into an algebraic expression: nine times five less than twice x. 3. Eric has rock and classical CDs in his car. The number of rock CDs is 3 more than the number of classical CDs. Let c represent the number of classical CDs. Write an expression for the number of rock CDs. 4. Marcella has 6 fewer male cousins than female cousins. Let f represent the number of female cousins. Write an expression for the number of boy cousins. 5. Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives. 6. Explain the difference between “4 times the sum of x and y” and “the sum of 4 times x and y.”

Answer 1

Solution:

(1) seven times the difference of y and one

7(y-1)

(2) nine times five less than twice x.  

9(5-2x)

(3) No. of rock Cds is 3 more than the number of classical CDs

No. of rock CD=x+c

(4) 6 fewer male cousin than female cousin.

No. of boys cousin=f-6

(5) The number of fives is three more than six times the number of tens.

No. of $5=6t+3

(6)

'4 times the sum of x and y' can be written as 4(x+y)=4x+4y

'the sum of 4 times x and y' can be written as 4x+y