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 total number of comic books Jill had initially.

Front

How do you solve the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10, then divide by 2 to find x = 5.

Front

What is the first step to solve the equation 10 + 7x = 24?

Back

Subtract 10 from both sides to isolate the term with x: 7x = 14.

Front

In the equation 7x + 35 = 63, what does x represent?

Back

x represents the number of hours Scott worked on the cars.

Front

How do you find the value of x in the equation 6x + 7 = 331?

Back

Subtract 7 from both sides to get 6x = 324, then divide by 6 to find x = 54.

Front

What is the relationship between the number of pencils and the total amount spent in the problem about Aliyah?

Back

The total amount spent is equal to the cost per pencil multiplied by the number of pencils.

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 numbers in an equation.