Solving Simple Equations — Finding the Unknown

Memory Verse "Call to me and I will answer you and tell you great and unsearchable things you do not know." — Jeremiah 33:3 (NIV)

Learning Objective

Students will learn to solve one-step equations using addition, subtraction, multiplication, and division.

Lesson Content

An equation is a math sentence that uses an equal sign (=) to show that two things have the same value. For example, x + 5 = 12 tells us that some number plus 5 equals 12.

To solve an equation, we find the value of the variable that makes the equation true. For x + 5 = 12, we subtract 5 from both sides: x = 7. We can check: 7 + 5 = 12. ✓

We use inverse operations to solve equations. Addition and subtraction are inverses. Multiplication and division are inverses. If 3n = 15, we divide both sides by 3: n = 5.

Just as God reveals truth to those who seek Him, solving equations reveals the unknown number hidden in the problem. Math rewards careful, patient work — just as God rewards faithful seeking.

Hands-On Activity

Solve these equations and check your answers: (1) x + 8 = 15, (2) n - 4 = 9, (3) 5y = 35, (4) m ÷ 3 = 6. Then write two of your own equations and trade with a partner to solve.

Discussion Questions

  • Why is it important to do the same thing to both sides of an equation?
  • How is solving an equation like being a detective?
  • What does 'inverse operation' mean?
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