Expressions: Combine Like Terms, Distribute, and Factor

What does it mean to combine like terms in an expression?

• Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

• Combining like terms means to multiply terms that have different variables together.

• Combining like terms means to separate terms with different coefficients into distinct groups.

• Combining like terms means to rearrange the terms in an expression without changing their values.

What is the result of combining the like terms in the expression: 4x + 5 - 2x + 3?

• 2x + 8

• 3x + 8

• 2x + 5

• 4x + 3

Simplify the expression: 2(c - 8)

• 2c - 8

• 2c - 16

• c - 16

• 2c + 16

Simplify the expression: 5(a + 6)

• 5a + 30

• 5a + 6

• 5a + 36

• 5a + 12

What is the first step in simplifying an expression using the distributive property?

• To add the terms inside the parentheses together.

• To multiply the term outside the parentheses by each term inside the parentheses.

• To subtract the term outside the parentheses from each term inside the parentheses.

• To divide each term inside the parentheses by the term outside the parentheses.

Simplify the expression: 9(2g + 3)

• 18g + 27

• 18g + 30

• 9g + 27

• 9g + 30

What does it mean to simplify an expression?

• To reduce it to its simplest form by combining like terms and applying the distributive property.

• To make the expression longer and more complex.

• To change the expression into a different variable form.

• To eliminate all variables from the expression.

What is the distributive property?

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

• The distributive property states that a + (b + c) = (a + b) + c.

• The distributive property states that a(b - c) = ab - ac.

• The distributive property states that a(b + c) = a + b + c.

What is the simplified form of the expression: 7x + 3x - 2x?

• 5x

• 6x

• 8x

• 10x

What is factoring in algebra?

• Factoring is the process of breaking down an expression into simpler components that can be multiplied together to get the original expression.

• Factoring is the method of adding two or more expressions to create a new expression.

• Factoring involves finding the roots of a polynomial equation without simplifying it.

• Factoring is the technique of rearranging terms in an equation to isolate a variable.