Скачать или смотреть Solving two step equations

*CORE CONCEPT:*
Two-step equations involve isolating a variable by applying inverse operations to both sides of the equation.

*TOPICS COVERED:*
When to use inverse operations to eliminate constants in equations (B1)
How to use division to isolate the variable after eliminating constants (B1)
When to check solutions by substituting back into the original equation (B1)

*EXAMPLE SENTENCES:*
Example 1: 2x + 5 = 15; Subtract 5 from both sides: 2x = 10; Divide by 2: x = 5.
Example 2: 3x - 4 = 11; Add 4 to both sides: 3x = 15; Divide by 3: x = 5.
Example 3: 4(x + 2) = 28; Divide by 4: x + 2 = 7; Subtract 2 from both sides: x = 5.

*GRAMMAR RULES:*
Step 1 → Identify the two operations in the equation.
Step 2 → Use the inverse operation to eliminate the constant term.
Step 3 → Use the inverse operation again to solve for the variable.

*COMMON ERRORS:*
Wrong: 2x + 5 = 15; Incorrectly subtracting 15 from both sides: 2x = 0. → Right: Correctly subtracting 5 gives: 2x = 10.
Wrong: 3x - 4 = 11; Mistakenly adding 3 instead of 4: 3x = 14. → Right: Adding the right constant gives: 3x = 15.
Wrong: 4(x + 2) = 28; Not distributing correctly: x + 2 = 28. → Right: Dividing correctly gives: x + 2 = 7.

*STUDENT QUESTIONS:*
How do I isolate the variable in a two-step equation?
When to use inverse operations in equations?
Is my solution correct if I substitute back?
What's the difference between adding and subtracting in two-step equations?
How do I check my answer in a two-step equation?

*KEY CONCEPTS:*
Two-step equations, inverse operations, isolating variables, checking solutions, B1 level math.

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