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Find the matching trios. Read the mathematical idea in words in the first column. Find the same mathematical idea written in symbols in the second column. Find the answer in Column 3. Colour code each matching trio the same colour.

Mathematics

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12 steps

Here are the matching trios:

  1. Match for a) "The difference between five and a larger number is twenty-two."

    • Symbolic idea: b−5=22b - 5 = 22
    • Answer: b−5=22b - 5 = 22 b=22+5b = 22 + 5 b=27b = \boxed{\textbf{27}}
  2. Match for b) "The sum of fifteen, six and nine."

    • Symbolic idea: 15+6+915 + 6 + 9
    • Answer: 15+6+9=21+9=3015 + 6 + 9 = 21 + 9 = \boxed{\textbf{30}}
  3. Match for c) "The product of twenty and eight."

    • Symbolic idea: 20×820 \times 8
    • Answer: 20×8=16020 \times 8 = \boxed{\textbf{160}}
  4. Match for d) "Find the quotient of forty-eight and eight."

    • Symbolic idea: 48÷848 \div 8
    • Answer: 48÷8=648 \div 8 = \boxed{\textbf{6}}
  5. Match for e) "When eight is subtracted from this number, the answer is three."

    • Symbolic idea: m−8=3m - 8 = 3
    • Answer: m−8=3m - 8 = 3 m=3+8m = 3 + 8 m=11m = \boxed{\textbf{11}}
  6. Match for f) "Triple thirteen."

    • Symbolic idea: 13×313 \times 3
    • Answer: 13×3=3913 \times 3 = \boxed{\textbf{39}}
  7. Match for g) "The sum of two consecutive numbers is equal to twenty-nine.

    What are the numbers?"

    • Symbolic idea: a+b=29a+b=29
    • Answer: Let the two consecutive numbers be xx and x+1x+1. x+(x+1)=29x + (x+1) = 29 2x+1=292x + 1 = 29 2x=29−12x = 29 - 1 2x=282x = 28 x=14x = 14 The numbers are 14 and 14+1=1514+1=15. The numbers are 14, 15\boxed{\textbf{14, 15}}
  8. Match for h) "When twenty-five is decreased by a certain number, the answer is sixteen."

    • Symbolic idea: 25−⋅=1625 - \cdot = 16
    • Answer: 25−x=1625 - x = 16 x=25−16x = 25 - 16 x=9x = \boxed{\textbf{9}}
  9. Match for i) "The square of this number is one hundred and sixty-nine."

    • Symbolic idea: a2=169a^2 = 169
    • Answer: a2=169a^2 = 169 a=169a = \sqrt{169} a=13a = \boxed{\textbf{13}}
  10. Match for j) "Increase twenty-five by the difference between eighteen and thirteen."

    • Symbolic idea: 25+(18−13)25 + (18 - 13)
    • Answer: 25+(18−13)=25+5=3025 + (18 - 13) = 25 + 5 = \boxed{\textbf{30}}
  11. Match for k) "Add 15 to the tenth multiple of 100."

    • Symbolic idea: 15+(10×100)15 + (10 \times 100)
    • Answer: 15+(10×100)=15+1000=101515 + (10 \times 100) = 15 + 1000 = \boxed{\textbf{1015}}
  12. Match for l) "Multiply the square of 4 by the third multiple of 5."

    • Symbolic idea: 42×(3×5)4^2 \times (3 \times 5)
    • Answer: 42×(3×5)=16×15=2404^2 \times (3 \times 5) = 16 \times 15 = \boxed{\textbf{240}}
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