Solving for y in Linear Equations

The video tutorial covers solving equations for y using inverse operations. It begins with an introduction to the concept, followed by detailed examples, including solving 3x - y = 10 and equations involving fractions. The tutorial emphasizes the importance of aligning equal signs and using inverse operations to isolate y. It also explains how to express equations in slope-intercept form and solve more complex equations with fractions. The video concludes with a final example and a summary of the key concepts.

What is the first step in solving for y in an equation?

• Multiply both sides by y

• Use inverse operations

• Add the x terms to both sides

• Divide both sides by x

Tags

CCSS.HSA.REI.B.3

In the equation 3x - y = 10, what operation is used to isolate y?

• Multiply both sides by 3

• Subtract 3x from both sides

• Divide both sides by 3

• Add 3x to both sides

Tags

CCSS.6.EE.C.9

After isolating -y in the equation 3x - y = 10, what is the next step?

• Divide by -1

• Multiply by -1

• Add 10 to both sides

• Subtract 10 from both sides

Tags

CCSS.8.EE.B.5

What is the slope in the equation y = 3x - 10?

• 3

• 10

• -10

• -3

Tags

CCSS.8.EE.B.5

What is the reciprocal of 1/5?

• 1/5

• 5

• 5/1

• 1/25

Tags

CCSS.HSA.REI.B.3

In the equation 1/5y = 3x + 10, what operation is used to isolate y?

• Subtract 5

• Add 5

• Divide by 5

• Multiply by 5

Tags

CCSS.8.EE.B.5

What is the slope in the equation y = 15x + 50?

• 50

• 15

• 1/15

• 1/50

Tags

CCSS.HSA.REI.B.3

In the equation 6y = 2y - 3x + 8, what is the first step to isolate y?

• Multiply by 6

• Add 3x to both sides

• Subtract 2y from both sides

• Divide by 6

Tags

CCSS.8.EE.B.5

What is the slope in the equation y = -3/4x + 2?

• 3/4

• 2

• -3/4

• -2

Tags

CCSS.8.EE.C.7B

In the equation -4(2x - 4y) = 20 + 8x, what is the first step?

• Subtract 4 from both sides

• Add 4 to both sides

• Distribute -4

• Divide by -4

Tags

CCSS.8.EE.C.7B