Identifying Types of Equation Solutions

What happens to a term when it is moved from one side of an equation to the other?

• It gets divided by 2.

• It remains the same.

• It changes its sign.

• It doubles.

In the equation 2x - 3 = x + 1, what is the first step to solve for x?

• Circle the terms.

• Add 3 to both sides.

• Divide both sides by 2.

• Subtract x from both sides.

What is the result when you combine positive and negative x terms in the equation 2x - 3 = x + 1?

• -x

• 0

• x

• 2x

What does it mean to isolate the variable in an equation?

• To add the same number to both sides.

• To get the variable alone on one side of the equation.

• To multiply both sides by the variable.

• To move all terms to one side.

What indicates that an equation has no solution?

• The variables cancel out and the remaining numbers are equal.

• The variables cancel out and the remaining numbers are not equal.

• The equation has a fraction.

• The equation has more than one variable.

In the equation 2x - 6 = 2x + 5, what happens when you move 2x from one side to the other?

• It becomes 4x.

• It becomes -2x.

• It cancels out.

• It remains 2x.

What does it mean when an equation has infinitely many solutions?

• Only one specific value of x satisfies the equation.

• There is no value of x that satisfies the equation.

• The equation has no variables.

• Any value of x will satisfy the equation.

In the equation -8 + 3x = 3x - 8, what happens when you move 3x from one side to the other?

• It remains 3x.

• It becomes -3x.

• It cancels out.

• It becomes 6x.

What is the result when you substitute x = 1 in the equation -8 + 3x = 3x - 8?

• 0

• -8

• -5

• 5

What is the result when you substitute x = -2 in the equation -8 + 3x = 3x - 8?

• -14

• 14

• -10

• 10