Writing & 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

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 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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

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 first step in solving the equation 2a + 3 = 25?

Back

The first step is to subtract 3 from both sides of the equation to isolate the term with the variable.

Front

If 7 + (w + x + y + z)/4 = 52, how do you find the sum of w, x, y, and z?

Back

First, subtract 7 from both sides to get (w + x + y + z)/4 = 45, then multiply both sides by 4 to find w + x + y + z = 180.

Front

What is the equation for 'twice a number plus 3 is 25'?

Back

The equation is 2a + 3 = 25.

Front

How do you set up an equation for 'eleven less than the quotient of a number and 3 is 18'?

Back

The equation is n/3 - 11 = 18.

Front

What is the solution to the equation 2a + 3 = 25?

Back

The solution is a = 11.