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

Question

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. -x/7 =-14

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

Answer 1

Let's match the strategies to the equations based on the given options:

1. 4z + 9z + 10 = 73z + 16

   Here, we need to combine like terms (4z and 9z) on one side of the equation, which leads us to choose:

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

2. -x/7 = -14

   In this equation, our goal is to isolate the variable \(x\). We will do this by multiplying both sides by -7 to get rid of the fraction, leading us to choose:

   c. Isolate the variable

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

   To solve this equation, we need to rearrange it by collecting like terms (3g and -4g) on opposite sides of the equation. Therefore, we choose:

   b. Collect like terms on opposite sides of the equation

In summary:

• 1: a
• 2: c
• 3: b