Understanding Equivalent Equations

The video tutorial explains how to create equivalent equations using a construction web. Starting with the truth statement x equals seven, various operations are applied to both sides of the equation to generate equivalent equations. The operations include addition, subtraction, multiplication, and division using the numbers 3 and 8. The tutorial demonstrates how these operations maintain the truth of the original equation and helps in understanding the process of solving equations.

What is the initial truth statement used in the activity?

• x = 5

• x = 11

• x = 7

• x = 9

Which operation is performed first when moving in the direction of addition?

• Multiply by 3

• Subtract 3

• Divide by 3

• Add 3

What is the result of multiplying both sides of the equation x + 3 = 10 by 8?

• 8x + 3 = 80

• x + 3 = 80

• 8(x + 3) = 80

• x + 3 = 18

What is the equivalent equation after multiplying both sides of x = 7 by 3?

• 3x = 21

• 3x = 7

• x + 3 = 21

• x - 3 = 21

After subtracting 8 from both sides of 3x = 21, what is the resulting equation?

• 3x + 8 = 21

• 3x - 8 = 21

• 3x + 8 = 13

• 3x - 8 = 13

What is the result of subtracting 3 from both sides of x = 7?

• x - 3 = 4

• x + 3 = 4

• x - 3 = 10

• x + 3 = 10

What is the simplified form of 4 divided by 8?

• 3/4

• 2/3

• 1/2

• 1/4

What is the equivalent equation after dividing both sides of x = 7 by 3?

• x/3 = 7/3

• x/3 = 3/7

• x/3 = 21

• x/3 = 1/3

What is the common denominator used to add 7/3 and 8?

• 4

• 1

• 2

• 3

What is the final equivalent equation after adding 8 to both sides of x/3 = 7/3?

• x/3 + 8 = 31/3

• x/3 + 8 = 24/3

• x/3 + 8 = 7/3

• x/3 + 8 = 15/3