Solving Two-Step Equations with Reciprocals

The video tutorial covers solving two-step equations using reciprocals. It begins with an introduction to reciprocals, explaining their definition and properties. The tutorial then demonstrates how to solve equations by applying the concept of reciprocals, providing detailed examples and checks for accuracy. The session concludes with a series of problems that reinforce the learning objectives.

What is the product of two numbers that are reciprocals of each other?

• 3

• 1

• 2

• 0

What is the reciprocal of 5/9?

• 1/9

• 1/5

• 5/9

• 9/5

What is the reciprocal of -5/3?

• 3/5

• -5/3

• -3/5

• 5/3

In the equation 3/2x + 5 = 11, what is the first step to isolate x?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply by 2/3

• Divide by 3/2

After isolating the term with x in the equation 3/2x = 6, what is the next step?

• Multiply by 2/3

• Divide by 3/2

• Add 6 to both sides

• Subtract 6 from both sides

In the equation -2/5x = 14, what is the reciprocal of -2/5?

• -5/2

• 2/5

• -2/5

• 5/2

What is the value of x in the equation -2/5x = 14 after multiplying by the reciprocal?

• -35

• 7

• 35

• -7

In the equation 3/2x - 11 = 10, what is the first step to isolate x?

• Multiply by 2/3

• Subtract 11 from both sides

• Add 11 to both sides

• Divide by 3/2

What is the value of x in the equation 4/3x = 16 after multiplying by the reciprocal?

• 3

• 4

• 16

• 12

What is the final check for the equation 4/3x = 16 to ensure the solution is correct?

• 4 times 12 over 3 plus 2 equals 18

• 4 times 3 over 3 plus 2 equals 18

• 4 times 16 over 3 plus 2 equals 18

• 4 times 4 over 3 plus 2 equals 18