Solving Linear Equations and Reciprocals

The video tutorial explains how to solve linear 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 includes multiple examples, demonstrating how to check solutions by substituting back into the original equations.

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

• Subtract 4/7 from both sides

• Multiply both sides by 7/4

• Multiply both sides by 4/7

• Add 4/7 to both sides

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

• x = 7

• x = 28

• x = 21

• x = 12

How do you isolate x in the equation x/-4 = 9?

• Subtract 9 from both sides

• Add 4 to both sides

• Multiply both sides by -4

• Divide both sides by 9

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

• x = -9

• x = -36

• x = 36

• x = 9

What is the reciprocal of 7/8 used in solving 7/8x = -9/2?

• 2/9

• 9/2

• 7/8

• 8/7

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

• x = -36/7

• x = -9/4

• x = 36/7

• x = 9/4

What is the reciprocal of -8/9 used in solving -8/9x = -64?

• -8/9

• 9/8

• 8/9

• -9/8

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

• x = -64

• x = 64

• x = -72

• x = 72

What operation is used to simplify the equation -8/9x = -64?

• Addition

• Division

• Multiplication

• Subtraction

What is the result of multiplying -9 by -8 in the equation -8/9x = -64?

• -72

• 64

• -64

• 72