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 isolate the variable and solve for its value.

Front

How do you combine like terms in an equation?

Back

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

Front

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

Back

The first step is to distribute the 2 to both terms inside the parentheses: 3x + 8x - 8 = 3.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the 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 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Front

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

Back

To check the solution, substitute the value of the variable back into the original equation and verify if both sides are equal.

Front

What is the importance of the distributive property in solving equations?

Back

The distributive property allows you to eliminate parentheses by multiplying a term outside the parentheses by each term inside.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

The solution is b = 1.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What does it mean to simplify an equation?

Back

Simplifying an equation means to reduce it to its simplest form by combining like terms and eliminating unnecessary terms.