Simplifying Algebraic Expressions

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

Front

Simplify the expression: 2(7c - 8)

Back

14c - 16

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

Simplify the expression: 5(x + 2) + 2x

Back

7x + 10

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

Simplify the expression: 8a + 4b + 2c - 3b + a

Back

9a + b + 2c

Front

What is the purpose of simplifying algebraic expressions?

Back

Simplifying algebraic expressions makes them easier to work with and understand, allowing for easier solving of equations.

Front

Simplify the expression: 9(2g + 3)

Back

18g + 27

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

Simplify the expression: 10x - 3(2x + 8)

Back

4x - 24