Finding Equivalent Equations

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What is an equivalent equation?

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An equivalent equation is an equation that has the same solution as another equation, meaning both equations represent the same relationship.

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CCSS.8.EE.C.7A

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How do you find the balance in a checking account after deposits and withdrawals?

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To find the balance, start with the initial amount, add any deposits, and subtract any withdrawals. The formula is: Balance = Initial Amount + Deposits - Withdrawals.

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CCSS.7.NS.A.3

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What is the expression to find the balance if Larry had $84, made a deposit of $21, and a withdrawal of $3?

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The expression is: 84 + 21 - 3.

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

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It represents a mathematical operation where you first divide 6 by 2, then subtract the product of 8 and 12.

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

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Both expressions are equivalent due to the distributive property of multiplication over addition.

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CCSS.6.EE.A.3

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How do you calculate the remaining amount after spending and receiving money?

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Start with the initial amount, subtract the total spent, and then add any received amounts. For example: Remaining = Initial - Spent + Received.

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CCSS.7.NS.A.1C

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The result is $54.

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CCSS.7.NS.A.3

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CCSS.6.EE.A.4

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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CCSS.6.EE.A.3

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What is the difference between an expression and an equation?

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An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.