Understanding Function Form in Equations

What is the primary goal when rewriting an equation in function form?

• To eliminate all variables

• To isolate the dependent variable y

• To simplify the equation to a single number

• To make x the subject of the equation

In the equation 3y = 6x + 12, what operation is necessary to isolate y?

• Divide both sides by 3

• Multiply both sides by 3

• Add 12 to both sides

• Subtract 6x from both sides

After dividing the equation 3y = 6x + 12 by 3, what is the resulting equation?

• y = x + 2

• y = 3x + 6

• y = 6x + 12

• y = 2x + 4

In the equation -4y = 2x + 8, what is the first step to isolate y?

• Subtract 8 from both sides

• Divide both sides by -4

• Add 4 to both sides

• Multiply both sides by 2

What is the function form of the equation -4y = 2x + 8?

• y = -1/2x - 2

• y = 1/2x + 2

• y = 2x - 8

• y = -2x + 4

In the equation 7x + y = 12, what operation is needed to isolate y?

• Subtract 7x from both sides

• Multiply both sides by 7

• Divide both sides by 7

• Add 7x to both sides

What is the function form of the equation 7x + y = 12?

• y = x + 7

• y = 7x + 12

• y = 12x - 7

• y = -7x + 12

In the equation 3y - 9x = 21, what is the first step to isolate y?

• Multiply both sides by 3

• Divide both sides by 3

• Add 9x to both sides

• Subtract 9x from both sides

What is the function form of the equation 3y - 9x = 21?

• y = -3x + 7

• y = 3x + 7

• y = x + 3

• y = 9x - 21

What is the final function form of the equation 6x - y = 8?

• y = -6x + 8

• y = x - 6

• y = 6x - 8

• y = 8x - 6