To solve this task, we need to translate each English phrase into a mathematical algebraic expression. We will use a variable, like $n$ or $x$, to represent "a number."
Here is the step-by-step translation for each phrase:
1.
"the sum of a number and thirty-seven"
* "Sum" means addition.
* Expression: $n + 37$
2.
"the quotient of sixty-one and a number"
* "Quotient" means division.
* Expression: $\frac{61}{n}$
3.
"a number increased by ninety-three"
* "Increased by" means addition.
* Expression: $n + 93$
4.
"the product of thirty-two and a number"
* "Product" means multiplication.
* Expression: $32n$
5.
"the product of twenty-five and a number"
* "Product" means multiplication.
* Expression: $25n$
6.
"the difference between a number and eight"
* "Difference" means subtraction. The order matters: "a number" minus eight.
* Expression: $n - 8$
7.
"nine more than a number"
* "More than" means addition.
* Expression: $n + 9$
8.
"fifty-nine times a number"
* "Times" means multiplication.
* Expression: $59n$
9.
"the quotient of a number and ninety-seven"
* "Quotient" means division. The order matters: "a number" divided by ninety-seven.
* Expression: $\frac{n}{97}$
10.
"fifty-nine times a number"
* "Times" means multiplication. (This is a repeat of item 8).
* Expression: $59n$
11.
"seventeen times a number"
* "Times" means multiplication.
* Expression: $17n$
12.
"the sum of sixty-one and a number"
* "Sum" means addition.
* Expression: $61 + n$
13.
"a number decreased by eighty-six"
* "Decreased by" means subtraction.
* Expression: $n - 86$
14.
"the difference between ninety and a number"
* "Difference" means subtraction. The order matters: ninety minus "a number".
* Expression: $90 - n$
15.
"eighty-one less than a number"
* "Less than" means subtraction, but the order is reversed. You take "a number" and subtract eighty-one from it.
* Expression: $n - 81$
Final Answer:
1. $n + 37$
2. $\frac{61}{n}$
3. $n + 93$
4. $32n$
5. $25n$
6. $n - 8$
7. $n + 9$
8. $59n$
9. $\frac{n}{97}$
10. $59n$
11. $17n$
12. $61 + n$
13. $n - 86$
14. $90 - n$
15. $n - 81$
Parent Tip: Review the logic above to help your child master the concept of translating expressions worksheet.
