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2. Match the strategy you would use to the following equations: [Thinking 3 marks] [2 minutes]

d. 3m²n,

a. Collect like terms on the same side of the equation

b. Collect like terms on opposite sides of the equation

c. Isolate the variable

1.4z+9z + 10 = 73z 16

2. 7 =-14

C

3. 3g + 5 = -4g-8

1 answer

To match each equation with the appropriate strategy, we need to analyze the nature of each equation and the necessary steps to solve it.

  1. Equation: 4z + 9z + 10 = 73z - 16

    This equation involves combining like terms on the left side. Therefore, the appropriate strategy is: a. Collect like terms on the same side of the equation.

  2. Equation: 7 = -14

    This equation is a simple statement that doesn't have any variables to isolate or terms to collect. It indicates a contradiction; thus, the strategy most relevant here is: b. Collect like terms on opposite sides of the equation.

  3. Equation: 3g + 5 = -4g - 8

    Here, we need to isolate the variable by moving all terms involving \( g \) to one side and the constant terms to the other side. Hence, the appropriate strategy is: c. Isolate the variable.

So, the matches are:

  1. a
  2. b
  3. c