Solving Three Step Equations

Front

What is a three-step equation?

Back

A three-step equation is an algebraic equation that requires three operations to isolate the variable and solve for its value.

Front

How do you solve the equation 7x - 3x - 8 = 24?

Back

Combine like terms: 4x - 8 = 24. Then add 8 to both sides: 4x = 32. Finally, divide by 4: x = 8.

Front

What is the first step in solving the equation 2x - 1 = ¾x + 9?

Back

The first step is to eliminate the fraction by multiplying the entire equation by 4 to get rid of the denominator.

Front

Identify the error in the following steps: 19 - 2k = 3k - 1; +3k; 19 + 1k = -1; -19; k = -20.

Back

The error is that instead of adding 3k, they should have subtracted 3k from both sides.

Front

What is the correct operation to perform when solving 5x + 6 = 66?

Back

You should subtract 6 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 12 + 5w - 4w = 15?

Back

Combine like terms: 12 + w = 15. Then subtract 12 from both sides: w = 3.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the importance of checking your solution in an equation?

Back

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

Front

What is the result of the equation 5x = 60?

Back

To solve for x, divide both sides by 5: x = 12.

Front

What is the definition of a variable in algebra?

Back

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