Solving One Step Equations with Reciprocals

The video tutorial explains how to solve equations involving fractions and negative numbers. It covers the process of isolating the variable by using multiplication and division, particularly focusing on the use of reciprocals to simplify equations. The tutorial provides multiple examples, demonstrating how to check solutions by substituting them back into the original equations.

What is the first step in solving the equation 4/7x = 12?

• Multiply both sides by the reciprocal of 4/7

• Add 4/7 to both sides

• Subtract 4/7 from both sides

• Multiply both sides by 4/7

What is the reciprocal of 4/7?

• 4/7

• 1/7

• 7/4

• 1/4

What is the solution to the equation 4/7x = 12?

• x = 7

• x = 12

• x = 21

• x = 28

What operation is used to isolate x in the equation x / -4 = 9?

• Divide both sides by -4

• Subtract -4 from both sides

• Add -4 to both sides

• Multiply both sides by -4

What is the solution to the equation x / -4 = 9?

• x = 9

• x = -9

• x = 36

• x = -36

What is the reciprocal of 7/8?

• 8/7

• 7/8

• 1/8

• 1/7

What is the solution to the equation 7/8x = -9/2?

• x = -36/7

• x = 36/7

• x = 9/7

• x = -9/7

What is the reciprocal of -8/9?

• -9/8

• 8/9

• 1/9

• 1/8

What is the solution to the equation -8/9x = -64?

• x = -72

• x = 64

• x = 72

• x = -64

What is the final check for the solution x = 72 in the equation -8/9x = -64?

• Substitute 72 for x and check if the left side equals -64

• Substitute 72 for x and check if the left side equals 64

• Substitute -72 for x and check if the left side equals -64

• Substitute -72 for x and check if the left side equals 64