Question

One of your classmates was absent on the day that you learned how to write and solve an equation from a contextual situation. Your teacher has asked you to explain the four steps and their application to the problem that follows.

Natasha stole three fewer bases than twice the number Elena stole. If Natasha stole 15 bases, how many did Elena steal?

Using the four steps from this lesson, write and solve an equation to find the number of bases Elena stole.

Answer 1

The four steps to write an equation are:

• Identifying key information.
• Writing down the information using numbers and letters.
• Relating the information using mathematical symbols.
• Solving the equation.

What is an equation?

Equations are mathematical expressions that show equivalence; therefore, they use the symbol = to relate two expressions.

How to write an equation using a situation?

The steps to write an equation using a situation are:

1. Identify key information:

The number of bases Natasha stole: 15 or three fewer bases than twice the number Elena stole.

2. Write down the information using letters and numbers.

• 15

• 2e-3 (e represents the number of bases Elena stole)

3. Relate the information using mathematical symbols.

• 2e - 3 = 15

4. Solve the equation.

• 2e - 3 = 15
• 2e = 15 + 3 (Move 3 to the other side and change its symbol)
• 2e = 18
• e = 18/ 2  (Move 2 to the other side and change its symbol to the opposite symbol=
• e = 9 (number of bases Elena stole)

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