Word problems and two-step equations

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 an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone.

Front

What does it mean to solve a word problem?

Back

Solving a word problem involves translating a real-world scenario into a mathematical equation and finding the solution.

Front

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

Back

The first step is to eliminate any constant term from the side of the equation with the variable.

Front

If 3x + 4 = 10, what is the value of x?

Back

x = 2

Front

What is the purpose of writing an equation from a word problem?

Back

Writing an equation helps to represent the relationships and quantities described in the problem mathematically.

Front

In the equation 5y - 3 = 12, what is the value of y?

Back

y = 3

Front

What is the equation for the total cost if a ticket costs $15 and you buy x tickets?

Back

Total cost = 15x

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.

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 5, -3, or 20.