Solving Multistep Equations

Front

What is a multistep equation?

Back

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

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

Back

The first step is to divide both sides by 2 to simplify the equation.

Front

Solve for x: 4 = 2(x + 3)

Back

x = -1.

Front

What does it mean to combine like terms?

Back

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

Front

Solve for h: 10(h + 1) - 4 = 76

Back

h = 7.

Front

What is the solution to the equation 2m + 6m = 32?

Back

m = 4.

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.

Front

Solve for v: 3v + 12 = 57

Back

v = 15.

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.