Multistep equations

Front

What is a multistep equation?

Back

A multistep 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

How do you isolate a variable in a multistep equation?

Back

To isolate a variable, perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

Front

What is the first step in solving the equation 14p - 8 = 22 + 20p?

Back

The first step is to get all terms involving 'p' on one side and constant terms on the other side. You can do this by subtracting 14p from both sides.

Front

Solve for p: 14p - 8 = 22 + 20p.

Back

p = -5.

Front

What is the solution to the equation -55 + 4x = 80 + 9x?

Back

x = -27.

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

Solve for x: 4x + 9 = -2x - 15.

Back

x = -4.

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

Solve for a: 4a - 2 = 3a - 7.

Back

a = -9.

Front

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

Back

x = 3.