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 44p + 7 = 73?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

What is the second step to solve the equation 44p + 7 = 73 after isolating the variable term?

Back

Divide both sides by 44 to solve for p.

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 is the total cost in the equation 5c + 6 = 61?

Back

The total cost is $61, which includes the cost of 5 CDs and $6 in tax.

Front

How do you set up a two-step equation from a word problem?

Back

Identify the quantities involved, assign variables, and translate the relationships into an equation.

Front

What does the variable 'e' represent in the equation 4e + 2 = 16?

Back

The variable 'e' represents the amount of time Koko spent studying for each exam.

Front

What is the purpose of using two-step equations in word problems?

Back

Two-step equations help to model real-life situations mathematically, allowing for the calculation of unknown quantities.

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.