Word Problems (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 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 is the first step to solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the second step to solve the equation 2x = 8?

Back

Divide both sides by 2 to find x = 4.

Front

In the equation 0.65p + 4.99 = 6.94, what does 'p' represent?

Back

'p' represents the number of pounds of bananas Meyer bought.

Front

What does the term 'total cost' refer to in word problems?

Back

Total cost refers to the sum of all expenses incurred in a transaction.

Front

How can 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 purpose of using variables in equations?

Back

Variables represent unknown values that we aim to solve for in equations.

Front

What does the equation 4e + 2 = 16 represent in Koko's studying problem?

Back

It represents the total time spent studying for 4 exams plus the 2 hours spent on the assignment.

Front

How do you set up an equation from a word problem?

Back

Identify the unknown, define a variable, and translate the problem's words into a mathematical equation.