Solving Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows 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 11 = 3z + 5?

Back

The first step is to isolate the variable term by subtracting 5 from both sides, resulting in 6 = 3z.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move other terms to the opposite side of the equation.

Front

What is the solution to the equation 20 = 8x - 12?

Back

The solution is x = 4.

Front

What is the process to solve the equation 5x - 14 = 8x + 4?

Back

First, rearrange the equation to get all x terms on one side and constant terms on the other, resulting in -3x = 18, then divide by -3 to find x = -6.

Front

What does it mean if an equation has no solution?

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An equation has no solution if there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

Front

What is the solution to the equation 2d + 7 = 9?

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The solution is d = 1.

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How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation m + 23 = 250?

Back

The solution is m = 227.