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Learning Task 1: Create an algebraic equation for the following statements. Write your answers on a separate sheet of paper.

1. Twice the sum of a number and two is thirty-six

2. The Grade 6 volleyball team scored five more than twice as many points as its opponent.

3. Ivan's weight is four kilograms more than Ethan's weight. Cael's weight is five kilograms less than Ivan's weight. Write an algebraic equation to represent the weight of the three boys having an average weight of 45 kilograms.

pasagot nmn po ng/nang maayos salamat.

nonsense answer - report.​


Sagot :

Answer w/ explanation:

1. We'll use the x variable to represent the unknown number.

      So, let "x" be equal to the unknown number.

      Algrebraic equation: 2(x+2)=36

2. Unlike in problem no.1, this time around we'll be using both x and y to represent the two given variables in the statement: the score of the G6 team and the score of their opponents.

      So, let "y" be equal to the score of the grade 6 volleyball team and "x" the score of their opponents.

       Algebraic equation: y=2x+5

3. This one requires a combination of more than one algebraic equation, as it has three variables: Ivan's weight (x), Cael's weight (y), and Ethan's weight (z).

 1st: Ivan's weight is four kilograms more than Ethan's weight.

              x=z+4   or   z=x-4

2nd: Cael's weight is five kilograms less than Ivan's weight.

                y=x-5    

3rd (Final): Write an algebraic equation to represent the weight of the three boys having an average weight of 45 kilograms.

            Note: We converted the two variables, y and z, so that they'll fit into the algebraic equation.

      Algebraic equation:  X+(X-5)+(X-4)/3=45

                                              [tex]\frac{x+(x-5)+(x-4)}{3} =45[/tex]

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