Solving Literal Equations for y

What is the main goal when rewriting literal equations in slope-intercept form?

• To isolate the y-value

• To eliminate fractions

• To combine like terms

• To isolate the x-value

In the example provided, what is the first step to isolate y?

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 4x from both sides

• Add 4x to both sides

After subtracting 4x from both sides, what is the next step to isolate y?

• Add 12 to both sides

• Subtract 12 from both sides

• Divide every term by -2

• Multiply every term by -2

In the first example, what operation is performed to isolate y when given x + y = -15?

• Divide both sides by x

• Add x to both sides

• Subtract x from both sides

• Multiply both sides by x

In the second example, what is the inverse operation of a positive 8x?

• Divide by 8

• Multiply by 8

• Subtract 8x

• Add 8x

What is the final step to isolate y in the equation 2y + 8x = 1?

• Divide every term by 2

• Multiply every term by 2

• Subtract 8x from both sides

• Add 8x to both sides

In the third example, what operation is performed to isolate y when given y - 4 = -3x + 9?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

What is the result of dividing every term by 3 in the equation 3y = 2x + 9?

• y = 2/3x + 3

• y = 3x + 2/3

• y = 2x + 3

• y = 3x + 9

In the final example, what is the result of applying the distributive property to -3(x - 3)?

• -3x + 3

• -3x - 9

• 3x - 9

• -3x + 9

What is the final form of the equation y - 4 = -3(x - 3) after isolating y?

• y = 3x + 13

• y = 3x - 9

• y = -3x + 13

• y = -3x + 9