Problems: Reasoning: Using Substitution: Remove the dividing by 2 by x2 x2 multiplying by 2 since it is the only function. Correct! Remove the constant before the -3 -3 coefficient. = 5 To remove the coefficient you do x2 = 5x2 the reverse operation, which in this case is multiplying. Correct! Remove the coefficient that affects the whole equation. Remove the constant before the + 5 +5 coefficient. ÷2 ÷2 To remove the coefficient you do the reverse operation, which in this Correct! case is multiplying. Remove the constant (+3) by -3 -3 adding its opposite (-3) = -12 Multiply by 2 to remove the x2 = -12x2 coefficient of ÷(2) Multiply the equation by (-1) to remove the negative from the variable () Correct! Solving equations using a diagram/ algebra tiles: x 2 2 2x 4
Problems: Reasoning: Using Substitution: x2 x2 Remove the dividing by 2 by multiplying by 2 since it is the only function. Correct! -3 -3 = 5 x2 = 5x2 Remove the constant before the coefficient. To remove the coefficient you do the reverse operation, which in this case is multiplying. Correct! + 5 +5 ÷2 ÷2 Remove the coefficient that affects the whole equation. Remove the constant before the coefficient. To remove the coefficient you do the reverse operation, which in this case is multiplying. Correct! -3 -3 = -12 x2 = -12x2 Remove the constant (+3) by adding its opposite (-3) Multiply by 2 to remove the coefficient of ÷(2) Multiply the equation by (-1) to remove the negative from the variable () Correct! Solving equations using a diagram/ algebra tiles: x 2 2 2x 4