Do Now: Is this a solution to an equation

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What is a solution to an equation?

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A solution to an equation is a value of the variable that makes the equation true when substituted into it.

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How do you determine if a value is a solution to an equation?

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Substitute the value into the equation and check if both sides are equal.

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CCSS.6.EE.B.5

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What does it mean if a value is not a solution to an equation?

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It means that substituting the value into the equation does not satisfy the equation, resulting in an inequality.

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CCSS.6.EE.B.5

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Evaluate: b ⋅ 5 = 20, when b = 3. Is b a solution?

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No, because 3 ⋅ 5 = 15, which is not equal to 20.

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CCSS.6.EE.B.5

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Evaluate: 2 ⋅ v = 12 for v = 10. Is v a solution?

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No, because 2 ⋅ 10 = 20, which is not equal to 12.

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CCSS.6.EE.B.5

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Evaluate: 3a = 18, when a = 6. Is a a solution?

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Yes, because 3 ⋅ 6 = 18, which is equal to 18.

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CCSS.6.EE.B.5

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Evaluate: x + 1 = 5 for x = 4. Is x a solution?

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Yes, because 4 + 1 = 5, which is equal to 5.

Tags

CCSS.6.EE.B.5

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Evaluate: g - 3 = 7, when g = 11. Is g a solution?

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No, because 11 - 3 = 8, which is not equal to 7.

Tags

CCSS.6.EE.B.5

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What is the equation form of a solution?

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An equation form of a solution is typically written as 'variable operation = constant'.

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CCSS.6.EE.B.7

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What is the importance of checking solutions in equations?

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Checking solutions ensures that the proposed value satisfies the equation, confirming its validity.