Rearranging Equations: Solve for y

Front

What is the process of rearranging an equation to solve for a specific variable?

Back

Rearranging an equation involves isolating the desired variable on one side of the equation by performing inverse operations on both sides.

Tags

CCSS.HSA.CED.A.4

Front

How do you isolate 'y' in the equation 8x - y = -8 + 6?

Back

To isolate 'y', add 'y' to both sides and simplify: y = 8x + 2.

Tags

CCSS.HSA.CED.A.4

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you express 'y' in terms of 'x' from the equation 2x + 2y = 8?

Back

Subtract 2x from both sides and then divide by 2: y = -x + 4.

Tags

CCSS.6.EE.C.9

Front

What does the term 'slope' represent in a linear equation?

Back

The slope represents the rate of change of 'y' with respect to 'x', indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How do you find the y-intercept from the equation 6x + y = 10?

Back

Set x = 0 and solve for y: y = 10 when x = 0.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of 'y' when 'x' is zero.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you rearrange the equation 24 - 3y = 6x to solve for 'y'?

Back

Subtract 6x from both sides and then divide by -3: y = -2x + 8.

Tags

CCSS.HSA.REI.B.3

Front

What is the first step to solve for 'y' in the equation x - 5y = 20?

Back

Subtract x from both sides: -5y = -x + 20.

Tags

CCSS.HSA.REI.B.3

Front

How do you convert the equation x - 5y = 20 into slope-intercept form?

Back

Rearrange to y = (1/5)x - 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3