Solving for Y: A Deep Dive into Algebraic Techniques

Why is it useful to solve for y in an equation?

• It makes the equation more complex.

• It eliminates the need for a calculator.

• It allows the use of the y equals function on a calculator.

• It simplifies the equation.

What is the first step in isolating y in an equation?

• Add the x term to both sides.

• Subtract the x term from both sides.

• Divide the equation by x.

• Multiply the equation by y.

After moving the x term, what is the next step in isolating y?

• Multiply by the coefficient of y.

• Divide by the coefficient of y.

• Add the coefficient of y.

• Subtract the coefficient of y.

In the equation y = 5 + 2x, what is the slope?

• 0

• 5

• 1

• 2

In the equation y = 5 + 2x, what is the y-intercept?

• 1

• 2

• 5

• 0

What is the slope in the equation y = 2 + 5x?

• 0

• 5

• 1

• 2

How do you handle a fractional slope in an equation?

• Leave it as a fraction.

• Multiply it by 2.

• Convert it to a decimal.

• Ignore it.

In the equation y = -6.5 - 5/2x, what is the slope?

• 5/2

• -5/2

• 6.5

• -6.5

What is the y-intercept in the equation y = -6.5 - 5/2x?

• -6.5

• 6.5

• 5/2

• -5/2

How do you handle non-standard forms of equations?

• Divide by the coefficient of y.

• Multiply by the coefficient of x.

• Ignore the constants.

• Convert them to standard form first.