Let’s go through each phrase one by one and turn it into an algebraic expression. We’ll use “x” to represent “a number” — that’s standard in algebra.
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1.
a number decreased by ninety-two
→ “Decreased by” means subtract.
→ So: x - 92
2.
the sum of eighty-nine and a number
→ “Sum” means add. Order doesn’t matter for addition.
→ So: 89 + x (or x + 89 — both are correct)
3.
a number added to thirty-six
→ Again, “added to” means addition.
→ So: 36 + x
4.
the sum of a number and twenty-six
→ Sum = add → x + 26
5.
the difference between forty-six and a number
→ “Difference between A and B” usually means A - B.
→ So: 46 - x
6.
the sum of a number and forty-three
→ x + 43
7.
the quotient of twenty and a number
→ “Quotient” means division. “Of twenty and a number” → 20 ÷ x
→ So: 20/x
8.
a number increased by sixty-five
→ “Increased by” means add → x + 65
9.
the sum of seventy and a number
→ 70 + x
10.
a number increased by eighteen
→ x + 18
11.
fifty-five times a number
→ “Times” means multiply → 55 × x → written as 55x
12.
fourteen times a number
→ 14x
13.
a number increased by sixty-five *(again)*
→ Same as #8 → x + 65
14.
the sum of fifty-two and a number
→ 52 + x
15.
seventy-five more than a number
→ “More than” means add → x + 75
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✔ All expressions checked. No calculations needed beyond translation — just matching words to operations.
Final Answer:
x - 92
89 + x
36 + x
x + 26
46 - x
x + 43
20/x
x + 65
70 + x
x + 18
55x
14x
x + 65
52 + x
x + 75
Parent Tip: Review the logic above to help your child master the concept of translate algebraic expressions worksheets.
