Solving Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that asserts the equality of two expressions, typically involving variables and constants.

Front

What does it mean to solve an algebraic equation?

Back

To solve an algebraic equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 17 = x + 3?

Back

Subtract 3 from both sides to isolate the variable: 17 - 3 = x.

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

The solution is x = -1.

Front

How do you simplify the equation 6(6v + 6) - 5 = 1 + 6v?

Back

Distribute 6 to both terms in the parentheses, then combine like terms.

Front

Back

The solution is x = 8.

Front

How do you isolate the variable in the equation m + 23 = 250?

Back

Subtract 23 from both sides: m = 250 - 23.

Front

What is the importance of checking your solution in algebra?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

What is a variable in an algebraic equation?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in an equation.

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What does it mean to combine like terms?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.