7.10 A reteach solving 2 step equations - word problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What does the variable represent in a word problem?

Back

The variable represents an unknown quantity that we are trying to find.

Front

How can you translate a word problem into an equation?

Back

Identify the key information and relationships in the problem, then express them using mathematical symbols and variables.

Front

What is the first step in solving a two-step equation?

Back

The first step is to eliminate any constant added or subtracted from the variable.

Front

If an equation is 11x + 6 = 39, what is the first step to solve for x?

Back

Subtract 6 from both sides to get 11x = 33.

Front

In the equation 11x + 36.44 = 102.44, how do you isolate x?

Back

Subtract 36.44 from both sides, then divide by 11.

Front

What does the term 'constant' mean in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 6 or 20.

Front

What is the purpose of using equations in word problems?

Back

Equations help to model real-life situations mathematically, allowing us to find unknown values.

Front

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

Back

Substitute the solution back into the original equation to see if both sides are equal.