Expressions Review

Front

What is the process of simplifying an expression by combining like terms?

Back

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

Front

How do you factor an expression like 10 + 20n?

Back

To factor the expression, identify the greatest common factor (GCF), which is 10 in this case, and rewrite the expression as 10(1 + 2n).

Front

What is the result of simplifying the expression 6w - 6w + 6w + 9w?

Back

The result is 15w, as the like terms combine to give 15w.

Front

How do you express 'the sum of 6 and 5 doubled' mathematically?

Back

It can be expressed as 2 x (6 + 5).

Front

What is the expanded form of the expression 3(2c - 5)?

Back

The expanded form is 6c - 15.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you identify the greatest common factor (GCF) of a set of terms?

Back

The GCF is the largest factor that divides all the terms in the expression without leaving a remainder.

Front

What does it mean to simplify an algebraic expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operators without an equality sign, while an equation states that two expressions are equal.