Two-Step Word Problems

In this lesson, we will explore two-step word problems. These are problems that require two operations to find the solution.

Steps to Solve Two-Step Word Problems

1. Read the problem carefully. Identify what is being asked.
2. Identify the operations needed. Usually, this involves addition, subtraction, multiplication, or division.
3. Set up equations. Translate the words into mathematical expressions.
4. Solve the equations step by step. Execute one operation at a time.
5. Check your work. Ensure the solution makes sense in the context of the problem.

Example Problem_A store sells pencils for $2 each and erasers for $1 each. If you buy 3 pencils and 4 erasers, how much do you spend in total?

Steps to Solve:

1. Identify the costs:

   • Cost of pencils: $2 \times 3 = 6$
   • Cost of erasers: $1 \times 4 = 4$

2. Set up the total cost equation:

   • Total cost = Cost of pencils + Cost of erasers
   • $\text{Total cost} = 6 + 4$

3. Calculate the total:

   • $\text{Total cost} = 10$

Thus, you spend a total of $10.

Key Questions

• What are the two operations needed to solve the problem?
• How do you translate the word problem into an equation?
• What does the final answer represent in the context of the problem?

Keywords

• Two-step problems
• Operations
• Equations
• Total cost
• Solution