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 to solve the equation: 5x - 4 + 2x = 3?

Back

Combine like terms to simplify the equation to 7x - 4 = 3.

Front

What is the solution to the equation: 5x - 4 + 2x = 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

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides to get -3x = 33.

Front

What is the solution to the equation: 4 = 2(x + 3)?

Back

x = -1.

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

How do you apply the distributive property to the equation: 10(h + 1) - 4 = 76?

Back

Distribute 10 to both h and 1 to get 10h + 10 - 4 = 76.

Front

What is the solution to the equation: 10(h + 1) - 4 = 76?

Back

h = 7.