Solving Equations with Variables on Both Sides

What is the first step in solving an equation with variables on both sides?

• Divide both sides by the same number

• Add the same number to both sides

• Subtract the same number from both sides

• Multiply both sides by the same number

In the equation 8 + 3x = 5x + 2, what operation can you use to eliminate the variable from one side?

• Divide both sides by 5

• Add 5x to both sides

• Multiply both sides by 3

• Subtract 3x from both sides

After eliminating the variable from one side in the equation 8 + 3x = 5x + 2, what is the next step?

• Subtract 8 from both sides

• Add 8 to both sides

• Subtract 2 from both sides

• Add 2 to both sides

In the equation 6n - 1 = 4n - 5, what is the result after subtracting 4n from both sides?

• 2n - 1 = -5

• 2n + 1 = -5

• 2n - 1 = 5

• 10n - 1 = -5

What is the solution to the equation 6n - 1 = 4n - 5?

• n = -2

• n = 1

• n = -1

• n = 2

When solving 2/3x - 1 = 9 - 1/6x, what is the common denominator used?

• 6

• 9

• 3

• 2

What is the solution to the equation 2/3x - 1 = 9 - 1/6x?

• x = 9

• x = 15

• x = 6

• x = 12

In the equation 2.3x + 2.8 = -1.2x + 9.8, what is the first step to eliminate the variable from one side?

• Add 2.3x to both sides

• Subtract 2.8 from both sides

• Add 1.2x to both sides

• Subtract 9.8 from both sides

What is the solution to the equation 2.3x + 2.8 = -1.2x + 9.8?

• x = 2

• x = 1

• x = 4

• x = 3

What is the solution to the equation 4.06x + 3.22 = 1.26x + 27.16?

• x = 4.5

• x = 6.5

• x = 3.5

• x = 5.5