Скачать или смотреть Solving equations with parentheses

*CORE CONCEPT:*
Distributing terms in parentheses is essential for simplifying equations. This process helps in isolating variables and solving multi-step equations effectively.

*TOPICS COVERED:*
When to use distribution to simplify equations (B1)
How to combine like terms after removing parentheses (B1)
How to isolate the variable using inverse operations (B1)

*EXAMPLE SENTENCES:*
Example 1: 2(x + 3) = 14
Example 2: 3(y - 4) + 2 = 10
Example 3: 4(a + 2) - 3(a - 1) = 5

*GRAMMAR RULES:*
Step 1 → Distribute the number outside the parentheses to each term inside the parentheses.
Step 2 → Combine any like terms if present on either side of the equation.
Step 3 → Isolate the variable by performing inverse operations until the variable is solved.

*COMMON ERRORS:*
Wrong: For 2(x + 3) = 14, only adding 3 to both sides: 2x + 3 = 14. → Right: Correct method for 2(x + 3) = 14: Distribute 2 to both terms.
Wrong: In 3(y - 4) + 2 = 10, forgetting to distribute the 3: 3y - 4 + 2 = 10. → Right: Correctly distribute 3 to get 3y - 12 + 2.
Wrong: For 4(a + 2) - 3(a - 1) = 5, incorrectly combining terms: 7a + 5 = 5. → Right: Distribute correctly and combine terms to find a.

*STUDENT QUESTIONS:*
How do I distribute terms in parentheses?
When to combine like terms in an equation?
Is 2(x + 3) = 14 solved correctly?
What's the difference between distributing and combining like terms?
How do I isolate the variable in an equation?

*KEY CONCEPTS:*
Distributing, combining like terms, isolating variables, multi-step equations, B1 level math concepts.

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