Two 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 it mean to 'write an equation' from a word problem?

Back

It means to translate the words and relationships described in the problem into a mathematical equation.

Front

In the equation x/2 + 16 = 36, what does x represent?

Back

x represents the original number of comic books Jill had before selling half.

Front

How do you check if your solution to a two-step equation is correct?

Back

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

Front

What is the first step to solve the equation 50 + 20m = 290?

Back

Subtract 50 from both sides to isolate the term with the variable.

Front

What does the term 'constant' refer to in an equation?

Back

A constant is a fixed value that does not change, such as the number 50 in the equation 50 + 20m = 290.

Front

How can you represent 'two times a number plus five equals 15' mathematically?

Back

The equation is represented as 2x + 5 = 15.

Front

What is the solution to the equation 2x + 5 = 15?

Back

The solution is x = 5.

Front

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

Back

x represents the number of students in each bus.