Let’s go step by step to match each phrase in Column A with the correct algebraic expression in Column B.
We’ll read each phrase carefully and translate it into math.
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1. the number x doubled
→ “Doubled” means multiply by 2 →
2x → matches
n
2. The difference of a number x and eight
→ “Difference” means subtract → x minus 8 →
x - 8 → matches
i
3. The average of two numbers x and y
→ Average = sum divided by 2 → (x + y)/2 → matches
l
4. the sum of x and three
→ Sum means add → x + 3 → matches
c
5. x squared
→ That’s x multiplied by itself →
x² → matches
h
6. Thrice the sum of x and y
→ “Thrice” = 3 times, “sum of x and y” = (x + y) → 3(x + y) → matches
g
7. one–half the difference of x and y
→ Half of (x - y) → (x - y)/2 → matches
o
8. Four more than twice a number x
→ Twice x = 2x, four more = +4 → 2x + 4 → matches
e
9. seven more than a number x
→ x + 7 → matches
b
10. five less than twice a number x
→ Twice x = 2x, five less = -5 → 2x - 5 → matches
a
11. multiply 3 by the sum of four and x
→ Sum of 4 and x = (4 + x), multiply by 3 → 3(4 + x) → matches
k
12. nine subtracted from x
→ x - 9 → matches
d
13. the product of x and y divided by z
→ Product of x and y = xy, divided by z → xy/z → matches
m
14. five times x increased by three times y
→ 5x + 3y → matches
j
15. the quotient of a number x and 5
→ Quotient = division → x ÷ 5 = x/5 → matches
f
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Now let’s list all answers in order:
1 → n
2 → i
3 → l
4 → c
5 → h
6 → g
7 → o
8 → e
9 → b
10 → a
11 → k
12 → d
13 → m
14 → j
15 → f
Final Answer:
1. n
2. i
3. l
4. c
5. h
6. g
7. o
8. e
9. b
10. a
11. k
12. d
13. m
14. j
15. f
Parent Tip: Review the logic above to help your child master the concept of translating equations worksheet.