Multi Step Equations Flashcard

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve for the variable. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you solve the equation 5x - 4 + 2x = 3?

Back

Combine like terms: 7x - 4 = 3. Then add 4 to both sides: 7x = 7. Finally, divide by 7: x = 1.

Front

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

Back

Combine like terms: 6x - 3 = 27.

Front

What does it mean to check your answer after solving an equation?

Back

It means to substitute the solution back into the original equation to ensure that both sides are equal.

Front

How do you solve the equation 8v - 4(v + 8) = 8?

Back

Distribute: 8v - 4v - 32 = 8. Combine like terms: 4v - 32 = 8. Add 32 to both sides: 4v = 40. Finally, divide by 4: v = 10.

Front

What is the solution to the equation -8(-8x - 6) = -6x - 22?

Back

Distribute: 64x + 48 = -6x - 22. Combine like terms: 70x = -70. Divide by 70: x = -1.

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 two or more terms inside a set of parentheses.

Front

What does 'combining like terms' mean?

Back

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

Front

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

Back

The purpose of isolating the variable is to solve for its value, making it easier to find the solution to the equation.

Front

What is an example of a multi-step equation?

Back

An example is 3(x + 2) - 4 = 11.