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 an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation 11 = 3z + 5?

Back

Subtract 5 from both sides to get 6 = 3z.

Front

What does it mean to write an equation based on a word problem?

Back

Writing an equation based on a word problem involves translating the words into mathematical symbols and expressions that represent the situation described.

Front

In the equation 6x + 7 = 331, what does 'x' represent?

Back

In this equation, 'x' represents the number of students in each bus.

Front

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

Back

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

Front

What is the solution to the equation x/12 - 5 = -6?

Back

The solution is x = -12.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What is the solution to the equation 3c + 5 = 23?

Back

The solution is c = 6.

Front

How do you set up an equation for a problem involving total cost?

Back

You can set up an equation by expressing the total cost as the sum of individual costs, often in the form of 'number of items times cost per item'.