Unit 4 Test

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its most basic form by combining like terms and eliminating unnecessary elements.

Front

What is a variable in algebra?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in mathematical expressions and equations.

Front

What is the distributive property?

Back

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

Front

How do you add algebraic expressions?

Back

To add algebraic expressions, combine like terms by adding their coefficients while keeping the variable part the same.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression, representing how many times the variable is multiplied.

Front

What does it mean to combine like terms?

Back

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

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division) without an equality sign.

Front

What is the sum of a number and five, divided by eight in algebraic form?

Back

Front

How do you factor the expression 12x + 30y?

Back

You can factor it as 6(2x + 5y).