Solving Multi-Step 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 such as 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 is the first step in solving the equation 2x + 1 = 2x - 1?

Back

The first step is to recognize that subtracting 2x from both sides leads to 1 = -1, which is a contradiction, indicating no solution.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

What does 'combining like terms' mean?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

The solution is y = 4.

Front

What operation did Jacob perform to go from Step 1 to Step 2 in his solution?

Back

Jacob subtracted 2x from both sides of the equation.

Front

What is the first step to solve the equation 1 + 4n - 6n = 1 - 8n?

Back

The first step is to combine the like terms 4n and -6n.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.