Isolating Variables in Equations

In this video, Jeff Jacobsen from Anywhere Math explains how to solve equations involving rational numbers, including fractions and decimals. The tutorial covers several examples, demonstrating how to isolate variables and check solutions. It also includes a word problem to illustrate equation writing. The video emphasizes the importance of maintaining equation balance by performing operations on both sides.

What is the primary goal when solving equations?

• To eliminate fractions

• To simplify the equation

• To isolate the variable

• To make both sides of the equation equal

In the equation -3 = M - 8, what operation is used to isolate M?

• Add 8 to both sides

• Subtract 8 from both sides

• Divide both sides by 8

• Multiply both sides by 8

What is the solution to the equation -3 = M - 8?

• M = -11

• M = 5

• M = -5

• M = 11

In the equation W + 3/2 = 1/2, what operation is used to isolate W?

• Add 3/2 to both sides

• Multiply both sides by 2

• Subtract 3/2 from both sides

• Divide both sides by 2

What is the solution to the equation W + 3/2 = 1/2?

• W = -2

• W = 2

• W = 1

• W = -1

In the word problem, what does the variable P represent?

• The profit last week

• The total profit

• The profit this week

• The difference in profit

What is the equation derived from the word problem about profit?

• 750 = P - 900

• 750 = 900 + P

• P = 750 - 900

• P = 750 + 900

In the equation -x/3 = -6, what is the first step to isolate x?

• Add 3 to both sides

• Multiply both sides by 3

• Subtract 3 from both sides

• Divide both sides by 3

What is the solution to the equation -x/3 = -6?

• x = -2

• x = -18

• x = 18

• x = 2

What is the reciprocal of -4/5?

• 4/5

• -5/4

• 5/4

• -5/4