Question

Translate each phrase into a mathematical expression using x as the variable, and simplify.See Example 4.> 99. Five times a number, added to the sum of the number and three100. Six times a number, added to the sum of the number and six101. A number multiplied by - 7, subtracted from the sum of 13 and six times the number102. A number multiplied by 5, subtracted from the sum of 14 and eight times the number103. Six times a number added to -4, subtracted from twice the sum of three times the num-ber and 4 (Hint: Twice means two times.)104. Nine times a number added to 6, subtracted from triple the sum of 12 and 8 times thenumber (Hint: Triple means three times.)

Answer 1

#103 (on request of kassy247):

six times a number is:

6x

added to -4, it becomes:

6x + (-4) = 6x - 4

THIS WHOLE THING is subtracted from TWICE the SUM OF 3 times number and 4

Breaking it apart,

sum of 3 times number and 4 means: 3x + 4

Twice of this would be: 2(3x+4)

Now, look above, the bold-underlined part. That is subtracted from what we got now, so we have:

`2(3x+4)-(6x-4)`

This is the expression.