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 7x - 4 = 3 + 8x?

Back

The first step is to get all terms involving x on one side and constant terms on the other side. This can be done by subtracting 7x from both sides.

Front

How do you isolate the variable in the equation 5x - 14 = 8x + 4?

Back

To isolate the variable, you can first move all x terms to one side by subtracting 5x from both sides, resulting in -14 = 3x + 4.

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, simplifying the equation.

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 set of parentheses.

Front

Solve the equation: 8v - 4(v + 8) = 8

Back

v = 10.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

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

Back

x = -7.

Front

What is the importance of keeping the equation balanced when solving?

Back

Keeping the equation balanced means that whatever operation you perform on one side must also be performed on the other side to maintain equality.