Solve MultiStep Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean if an equation has 'no solution'?

Back

An equation has no solution when there are no values that can satisfy the equation, often resulting in a contradiction.

Front

What does it mean if an equation has 'infinite solutions'?

Back

An equation has infinite solutions when any value for the variable satisfies the equation, indicating that the two sides are equivalent.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 4 = 2(x + 3)?

Back

The first step is to distribute the 2 on the right side, resulting in 4 = 2x + 6.

Front

What is the solution to the equation 2x + 3 = 2x + 3?

Back

The solution is all real numbers, as both sides of the equation are identical.

Front

How do you translate 'two more than three times x' into an expression?

Back

The expression is 2 + 3x.

Front

What is the solution to the equation 5y + 34 = -2(-7y + 1)?

Back

The solution is y = 4.

Front

What does it mean to simplify an equation?

Back

To simplify an equation means to combine like terms and reduce it to its simplest form.

Front

What is the solution to the equation 3x - 8 = 3(x - 4) + 1?

Back

The solution is no solutions, as the equation simplifies to a contradiction.