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. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 2x + 4x = 6x, so the equation becomes 6x - 3 = 27.

Front

How do you isolate the variable in the equation 6x + 28 = 12 + 2x?

Back

Subtract 2x from both sides to get 4x + 28 = 12, then subtract 28 from both sides to get 4x = -16.

Front

What is the solution to the equation 4 - 2(x - 3) = 24?

Back

The solution is x = -7.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

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

Front

How do you check your solution for the equation 2x - 3 + 4x = 27?

Back

Substitute the solution (x = 5) back into the original equation to verify if both sides are equal.

Front

What is the solution to the equation 4x + 10 = -26?

Back

The solution is x = -9.

Front

What is the importance of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value, which is the solution to the equation.

Front

What is the final step in solving the equation 6x = -16?

Back

Divide both sides by 4 to find x = -4.