Let’s go through each phrase one by one and turn it into an algebraic expression. We’ll use the variable given in each problem.
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1.
a number g added to sixty-three
→ “Added to” means we add g to 63.
Expression:
63 + g
2.
the quotient of seven and a number x
→ “Quotient” means division. Seven divided by x.
Expression:
7 ÷ x or
7/x
3.
ten less than a number v
→ “Less than” means subtract from the number. So, 10 less than v is v - 10.
Expression:
v - 10
4.
the difference between thirteen and a number h
→ “Difference” means subtraction. Usually, it’s first minus second: 13 - h.
Expression:
13 - h
5.
a number q increased by seventy-two
→ “Increased by” means add. So, q + 72.
Expression:
q + 72
6.
the total of eleven and a number m
→ “Total” means add. Eleven plus m.
Expression:
11 + m
7.
ninety-seven subtracted from a number r
→ “Subtracted from” means you take 97 away from r → r - 97.
Expression:
r - 97
8.
the product of a number d and sixty-one
→ “Product” means multiply. d times 61.
Expression:
61d or
d × 61
9.
the sum of thirty-nine and a number f
→ “Sum” means add. 39 + f.
Expression:
39 + f
10.
twenty-three added to a number j
→ Add 23 to j → j + 23.
Expression:
j + 23
11.
twelve divided by a number c
→ 12 ÷ c
Expression:
12/c
12.
a number y multiplied by eighty-five
→ y × 85
Expression:
85y
13.
a number w decreased by fifty-eight
→ “Decreased by” means subtract. w - 58.
Expression:
w - 58
14.
a number b minus fifty-eight
→ Same as above: b - 58.
Expression:
b - 58
15.
forty-six more than a number z
→ “More than” means add. z + 46.
Expression:
z + 46
16.
a number h divided by thirty-one
→ h ÷ 31
Expression:
h/31
17.
the sum of a number n and forty-nine
→ n + 49
Expression:
n + 49
18.
the quotient of a number s and forty-two
→ s ÷ 42
Expression:
s/42
19.
the product of forty and a number t
→ 40 × t
Expression:
40t
20.
a number c added to twenty-three
→ c + 23
Expression:
c + 23
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All expressions are now written correctly based on standard algebraic translation rules.
Final Answer:
1. 63 + g
2. 7/x
3. v - 10
4. 13 - h
5. q + 72
6. 11 + m
7. r - 97
8. 61d
9. 39 + f
10. j + 23
11. 12/c
12. 85y
13. w - 58
14. b - 58
15. z + 46
16. h/31
17. n + 49
18. s/42
19. 40t
20. c + 23
Parent Tip: Review the logic above to help your child master the concept of translating expressions worksheet pdf.
