Finding Equivalent Equations

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What is an equivalent equation?

Back

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

Back

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

Front

What is the expression to find Larry's balance after a deposit of $21 and a withdrawal of $3 from $84?

Back

The expression is: 84 + 21 - 3.

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Back

It represents the result of dividing 6 by 2 and then subtracting the product of 8 and 12.

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Back

Front

How do you combine like terms in the expression 3x + 5 + 7x + 2?

Back

Combine the coefficients of like terms: 3x + 7x = 10x and 5 + 2 = 7, resulting in 10x + 7.

Front

What are the two expressions that are equivalent: 9(6 + x) and 9 ⋅ 6 + 9 ⋅ x?

Back

Both expressions represent the distributive property, where 9 is distributed to both terms inside the parentheses.

Front

What is the distributive property?

Back

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

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How do you simplify the expression 6 ⋅ x + 3?

Back

This expression cannot be simplified further without knowing the value of x.

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Back

These expressions are not equivalent unless x equals 48.