Solving Equations with Variables on Both Sides

The video tutorial covers solving equations with variables on both sides, focusing on balancing equations and using inverse operations. It provides step-by-step instructions and examples, emphasizing strategies to keep variable coefficients positive. The tutorial also discusses different approaches to solving equations and encourages students to practice on their own.

What makes equation B different from equation A?

• Equation B has variables on both sides.

• Equation B has no variables.

• Equation B has only constants.

• Equation B is already solved.

What is the first step to solve an equation with variables on both sides?

• Divide both sides by the same number.

• Multiply both sides by the same number.

• Use inverse operations to collect variables on one side.

• Add the variables together.

After collecting variables on one side, what is the next step?

• Multiply the constants by the variables.

• Divide the constants by the variables.

• Use inverse operations to collect constants on the other side.

• Add the constants together.

In the example where both coefficients are positive, why is the smaller coefficient moved?

• To make the equation simpler.

• To ensure the variable coefficient remains positive.

• To eliminate the variable.

• To add the constants together.

What is the result of subtracting 2n from both sides in the example?

• 2n - 7 = 23

• 7n + 2 = 23

• 5n - 7 = 23

• 5n + 7 = 23

When both coefficients are negative, what operation is used to move the smaller coefficient?

• Subtract the smaller coefficient.

• Multiply the smaller coefficient.

• Add the smaller coefficient.

• Divide the smaller coefficient.

What is the result of dividing both sides by 7 in the example?

• x = -3

• x = 7

• x = 3

• x = -7

In the final example, what is Jane's suggested first step?

• Multiply both sides by 12.

• Divide both sides by 8.

• Add 12x to both sides.

• Subtract 8x from both sides.

What is Ally's suggested first step in the final example?

• Multiply both sides by 8.

• Add 12x to both sides.

• Subtract 8x from both sides.

• Divide both sides by 12.

Which strategy ensures the variable coefficient remains positive?

• Divide the coefficients.

• Multiply the coefficients.

• Move the smaller coefficient.

• Always add the coefficients.