Solving Algebraic Equations with Variables on Both Sides

What is the first step in solving the equation 3X + 7 = 16?

• Multiply by 3

• Add 7

• Subtract 7

• Divide by 3

After subtracting 7 from both sides in the equation 3X + 7 = 16, what is the next step?

• Add 7

• Multiply by 3

• Divide by 3

• Subtract 3

In the equation 4X + 3 = X - 6, what should be done first to isolate the X terms?

• Divide by 4

• Multiply by 4

• Subtract X from both sides

• Add X to both sides

What is the result of combining like terms in the equation 4X - X + 3?

• 3X + 3

• 4X + 3

• 3X - 3

• X + 3

What is the final value of X in the equation 4X + 3 = X - 6?

• X = 3

• X = -3

• X = 1

• X = -1

In the equation (3 - 3X)/4 = 3(2X + 1), what is the first step to simplify the right side?

• Add 3

• Divide by 4

• Distribute the 3

• Subtract 3

What should be done to eliminate the fraction in the equation (3 - 3X)/4 = 6X + 3?

• Divide both sides by 4

• Subtract 4 from both sides

• Multiply both sides by 4

• Add 4 to both sides

After multiplying both sides by 4 in the equation (3 - 3X)/4 = 6X + 3, what is the next step?

• Add 3X to both sides

• Divide by 4

• Multiply by 4

• Subtract 3X from both sides

What is the simplified form of -9/27?

• -1/4

• -1/3

• -1/5

• -1/2

What is a key strategy to avoid mistakes when solving complex algebraic equations?

• Guess the answer

• Be meticulous and careful

• Perform quick arithmetic

• Skip steps