Solving Multi-step Equations with Variables on Both Sides

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

• Add constants to both sides

• Isolate the variable

• Distribute if necessary

• Combine like terms

How do you decide which variable to move when solving an equation with variables on both sides?

• Move the larger variable

• Move the smaller variable

• Move the variable with the higher coefficient

• Move the variable on the right side

In the equation 8x - 2x = 2x - 2x - 48, what is the value of x?

• -6

• 8

• 6

• -8

What is the result of subtracting 3x from both sides of the equation 10x - 3x = 56?

• 7x = 56

• 3x = 56

• 13x = 56

• x = 56

When solving the equation 5x - 5x + 30 = 8x - 5x + 3, what is the next step after combining like terms?

• Add 3 to both sides

• Subtract 3 from both sides

• Divide by 3

• Multiply by 3

In the equation 8y - 56 = 2y + 23, what is the value of y?

• 14

• 13

• 12.5

• 13.5

What is the solution to the equation 4c - 8 = 2c + 14?

• c = 11

• c = 10

• c = 12

• c = 13

What does it mean when an equation results in a statement like 3 = 3?

• Infinite solutions

• No solution

• Two solutions

• One solution

What is the symbol for all real numbers?

• Q

• Z

• N

• R

What is the result of solving the equation 15x + 15 = 15x - 15?

• Infinite solutions

• No solution

• x = 0

• x = 1