Solving One Steps, Distributing, and Combining like terms-REVIEW

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and -9x are like terms because they both contain the variable x.

Front

How do you simplify the expression -8(6x + 3)?

Back

To simplify, distribute -8: -8 * 6x = -48x and -8 * 3 = -24. So, the simplified expression is -48x - 24.

Front

What is the result of combining -6x and -3x?

Back

The result is -9x, since -6x - 3x = -9x.

Front

How do you simplify the expression -10x + 15 - 3x + 2?

Back

Combine like terms: -10x - 3x = -13x and 15 + 2 = 17. The simplified expression is -13x + 17.

Front

What is the objective when solving an equation?

Back

The objective is to isolate the variable, meaning to get the variable by itself on one side of the equation.

Front

What does it mean to distribute in algebra?

Back

Distributing means multiplying a single term by each term inside a set of parentheses. For example, in -8(6x + 3), you distribute -8 to both 6x and 3.

Front

What are the steps to combine like terms?

Back

Identify terms with the same variable and exponent, then add or subtract their coefficients. For example, 3x + 2x = 5x.

Front

What is the difference between like terms and unlike terms?

Back

Like terms have the same variable and exponent, while unlike terms do not. For example, 3x and 4y are unlike terms.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the result of combining 3x and -9x?

Back

The result is -6x, since 3x - 9x = -6x.