Algebraic Extensions of GCD and LCM

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1) GCD(3x, 12) = 3. Which x works?
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About This Quiz
Algebraic Extensions Of GCD And LCM - Quiz

Ready to take GCD and LCM into algebra? In this quiz, you’ll solve equations that connect GCD and LCM to variables, test which values work, and discover how number properties extend into algebraic contexts. We bring you this quiz to help you see how arithmetic and algebra meet when working... see morewith divisibility, factors, and multiples. see less

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2) If x = 12, what is GCD(x, 18)?
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3) Solve for x: LCM(4, x) = 28. Which x is correct?
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4) If GCD(20, x) = 10, which x values are possible?
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5) If LCM(9, x) = 36, which x values are possible?
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6) Solve: GCD(18, x) = 9. Which x works?
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7) Solve: LCM(5, x) = 20. Which x is correct?
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8) Solve: GCD(8, x) = 4. Which x works?
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9) Which Property Is True?
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10) Solve linear equation: If LCM(3, x) = 21, then x = ?
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11) If GCD(7, x) = 7, then x is always:
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12) If GCD(2x, 6) = 2, what is the smallest integer value of x?
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13) Solve for x: LCM(3, x) = 12. Which x works?
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14) If LCM(2, x) = 14, then x = ?
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15) GCD(5x, 20) = 5. Which x values are possible?
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16) Solve: If GCD(12, x) = 6, which x values work?
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17) If LCM(8, x) = 40, then x = ?
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18) If GCD(14, x) = 7, then x could be:
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19) Which is true?
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20) LCM(6, x) = 18. Which x works?
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GCD(3x, 12) = 3. Which x works?
If x = 12, what is GCD(x, 18)?
Solve for x: LCM(4, x) = 28. Which x is correct?
If GCD(20, x) = 10, which x values are possible?
If LCM(9, x) = 36, which x values are possible?
Solve: GCD(18, x) = 9. Which x works?
Solve: LCM(5, x) = 20. Which x is correct?
Solve: GCD(8, x) = 4. Which x works?
Which Property Is True?
Solve linear equation: If LCM(3, x) = 21, then x = ?
If GCD(7, x) = 7, then x is always:
If GCD(2x, 6) = 2, what is the smallest integer value of x?
Solve for x: LCM(3, x) = 12. Which x works?
If LCM(2, x) = 14, then x = ?
GCD(5x, 20) = 5. Which x values are possible?
Solve: If GCD(12, x) = 6, which x values work?
If LCM(8, x) = 40, then x = ?
If GCD(14, x) = 7, then x could be:
Which is true?
LCM(6, x) = 18. Which x works?
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