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 Linear Equation in one variable 24 Flashcards |
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What is a linear equation in one variable? |
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A Linear Equation In One Variable Is An Equation That Can Be Expressed In The Form Ax + B = 0, Where 'A' And 'B' Are Constants, And 'x' Is The Variable. For Example, 3x - 5 = 0 Is A Linear Equation In One Variable. |
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What is the general form of a linear equation? |
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The General Form Of A Linear Equation In One Variable Is Ax + B = 0, Where A ≠ 0. For Example, In The Equation 2x + 4 = 0, A = 2 And B = 4. |
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Solve for x: 5x - 3 = 12. |
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Add 3 To Both Sides: 5x = 15. Then, Divide Both Sides By 5 To Get x = 3. |
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What is the solution to the equation 2(x - 4) = 10? |
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First, Expand The Left Side: 2x - 8 = 10. Then Add 8 To Both Sides: 2x = 18. Finally, Divide By 2: x = 9. |
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Solve for x in the equation: 7x + 5 = 3x + 17. |
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Subtract 3x From Both Sides: 4x + 5 = 17. Then, Subtract 5 From Both Sides: 4x = 12. Finally, Divide By 4: x = 3. |
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If 2(x + 3) - x = 8, what is the value of x? |
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Distribute On The Left Side: 2x + 6 - x = 8. Combine Like Terms: x + 6 = 8. Subtract 6 From Both Sides: x = 2. |
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Solve for x: -3x + 9 = 0. Hint: Isolate x by moving constants to the other side. |
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Subtract 9 From Both Sides: -3x = -9. Then Divide By -3: x = 3. |
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Solve for x: 4x - 7 = 3x + 5. |
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Subtract 3x From Both Sides: x - 7 = 5. Then Add 7 To Both Sides: x = 12. |
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What is the solution for x in the equation 5(x - 1) = 2x + 10? |
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Expand The Left Side: 5x - 5 = 2x + 10. Subtract 2x From Both Sides: 3x - 5 = 10. Add 5 To Both Sides: 3x = 15. Divide By 3: x = 5. |
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Solve for x: 2(x - 4) = 3(x + 1) - 2. |
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Expand Both Sides: 2x - 8 = 3x + 3 - 2. Simplify: 2x - 8 = 3x + 1. Subtract 2x From Both Sides: -8 = x + 1. Subtract 1 From Both Sides: x = -9. |
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If 6x - 3 = 15, what is the value of x? |
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Add 3 To Both Sides: 6x = 18. Then Divide By 6: x = 3. |
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What is a useful strategy for solving linear equations in one variable? |
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A Useful Strategy Is To Isolate The Variable On One Side Of The Equation By Performing Inverse Operations, Such As Addition And Subtraction, Followed By Multiplication And Division, To Simplify The Equation Step By Step. |
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