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Make equal: 1. 20 + 5 + ... = 35; 2. 15 + 15 + ... = 45; 3. 3 x 5 = 7 + ...; 4. double 25 = 67 - ...; 5. 7 x 4 = 14 x ...; 6. 6 x 3 = 85 - ...; 7. 36 / 3 = 20 - ...; 8. ... + 75 = 125 − 25

Mathematics

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Here are the solutions for Activity 3: Make equal.

  1. : 20 + 5 + \text{_______} = 35
  1. Add the known numbers on the left side.

    $$
    20 + 5 = 25
    $$
    
  2. Subtract this sum from the right side to find the missing number.

    $$
    35 - 25 = 10
    $$
    The missing number is $\boxed{\text{}10\text{}}$
    

    2. : 15 + 15 + \text{_______} = 45

  3. Add the known numbers on the left side.

    $$
    15 + 15 = 30
    $$
    
  4. Subtract this sum from the right side to find the missing number.

    $$
    45 - 30 = 15
    $$
    The missing number is $\boxed{\text{}15\text{}}$
    

    3. : 3 \times 5 = 7 + \text{_______}

  5. Calculate the left side of the equation.

    $$
    3 \times 5 = 15
    $$
    
  6. Subtract 7 from 15 to find the missing number.

    $$
    15 - 7 = 8
    $$
    The missing number is $\boxed{\text{}8\text{}}$
    

    4. : \text{double } 25 = 67 - \text{_______}

  7. Calculate "double 25".

    $$
    2 \times 25 = 50
    $$
    
  8. Subtract 50 from 67 to find the missing number.

    $$
    67 - 50 = 17
    $$
    The missing number is $\boxed{\text{}17\text{}}$
    

    5. : 7 \times 4 = 14 \times \text{_______}

  9. Calculate the left side of the equation.

    $$
    7 \times 4 = 28
    $$
    
  10. Divide 28 by 14 to find the missing number.

    $$
    28 \div 14 = 2
    $$
    The missing number is $\boxed{\text{}2\text{}}$
    

    6. : 6 \times 3 = 85 - \text{_______}

  11. Calculate the left side of the equation.

    $$
    6 \times 3 = 18
    $$
    
  12. Subtract 18 from 85 to find the missing number.

    $$
    85 - 18 = 67
    $$
    The missing number is $\boxed{\text{}67\text{}}$
    

    7. : 36 \div 3 = 20 - \text{_______}

  13. Calculate the left side of the equation.

    $$
    36 \div 3 = 12
    $$
    
  14. Subtract 12 from 20 to find the missing number.

    $$
    20 - 12 = 8
    $$
    The missing number is $\boxed{\text{}8\text{}}$
    

    8. : \text{_______} + 75 = 125 - 25

  15. Calculate the right side of the equation.

    $$
    125 - 25 = 100
    $$
    
  16. Subtract 75 from 100 to find the missing number.

    $$
    100 - 75 = 25
    $$
    The missing number is $\boxed{\text{}25\text{}}$
    
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