Solving for Y: Key Concepts and Techniques

What is an equation?

• A statement that is always false

• A statement that shows two expressions are not equal

• A statement that is always true

• A statement that shows two expressions are equal

What is the first step in solving for y in the equation 3y = 2x + 6?

• Add 6 to both sides

• Subtract 2x from both sides

• Multiply both sides by 2

• Divide both sides by 3

What is the coefficient of y in the equation 3y = 2x + 6?

• 6

• 2

• 3

• 1

After dividing both sides of the equation 3y = 2x + 6 by 3, what is the resulting equation?

• y = 2x + 6

• y = 2/3x + 2

• y = 2x/3 + 6/3

• y = 2x/3 + 2

What is the simplified form of 6/3?

• 3

• 2

• 4

• 1

What is the first step in solving for y in the equation 6x - 2y = 7?

• Add 7 to both sides

• Subtract 6x from both sides

• Divide both sides by 2

• Multiply both sides by 6

What is the coefficient of y in the equation 6x - 2y = 7?

• 1

• 7

• -2

• 6

After subtracting 6x from both sides of the equation 6x - 2y = 7, what is the resulting equation?

• y = 6x - 7

• y = -6x + 7

• 2y = 6x - 7

• -2y = -6x + 7

What is the simplified form of -6/-2?

• 1

• 3

• 2

• 4

What is the final form of y in the equation 6x - 2y = 7?

• y = 3x - 7/2

• y = 3x + 7/2

• y = -3x + 7/2

• y = -3x - 7/2