Solving 2 Step Equations

Front

What is a two-step equation?

Back

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

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 is the first step in solving the equation -5t + 9 = 24?

Back

The first step is to subtract 9 from both sides of the equation.

Front

What does it mean to write an equation based on a word problem?

Back

Writing an equation based on a word problem involves translating the words and relationships described in the problem into a mathematical expression.

Front

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

Back

In this equation, 'x' represents the number of students in each bus.

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 purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing you to isolate it and find its value.

Front

What is the equation for Aliyah's pencil problem?

Back

The equation is 7x + 10 = 24, where 'x' is the cost of each pencil.

Front

What is the solution to the equation x - 62 = 123?

Back

The solution is x = 185, found by adding 62 to both sides.

Front

What does it mean to 'show your work' when solving equations?

Back

'Showing your work' means documenting each step taken to solve the equation, which helps in understanding the process and verifying the solution.