solving multi-step equations

Front

What is a multi-step equation?

Back

A multi-step 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

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

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 38 + 7k = 8(k + 4)?

Back

k = 6.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5.

Front

What does it mean if an equation has 'No Solution'?

Back

An equation has 'No Solution' if there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation 2x + 1 = 2(x - 10)?

Back

No Solution.

Front

What does it mean if an equation has 'all real numbers (infinite)' as a solution?

Back

It means that any value for the variable will satisfy the equation.