Module 3 Lesson 2 Distributive Property

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 or difference.

Front

How do you apply the Distributive Property to the expression (x - 6)4?

Back

You multiply each term inside the parentheses by 4, resulting in 4x - 24.

Front

What is the result of applying the Distributive Property to 2(c - 8)?

Back

You distribute 2 to both c and -8, resulting in 2c - 16.

Front

What does combining like terms mean in algebra?

Back

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

Front

What is the result of combining the terms 3x and -5x?

Back

The result is -2x, as you combine the coefficients (3 - 5 = -2).

Front

How do you simplify the expression -r - 10r?

Back

You combine the like terms -r and -10r to get -11r.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

What is the difference between an expression and an equation?

Back

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

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components that, when multiplied together, give the original expression.