Simplifying Expressions

Front

What is the distributive property in algebra?

Back

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

Front

Simplify the expression: 3(5 + 3x) - 4x

Back

5x + 15

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: 14 - 3z + 8 + z

Back

-2z + 22

Front

What is a variable in an algebraic expression?

Back

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

Front

Simplify the expression: 3(2 + x) + 6x - 4

Back

9x + 2

Front

What is the purpose of simplifying expressions?

Back

Simplifying expressions makes them easier to work with and understand, allowing for easier calculations and comparisons.

Front

Simplify the expression: 6 - 2(7x - 3)

Back

-14x + 12

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, such as numbers like 5, -3, or 12.

Front

Simplify the expression: 7v + 2 + 12 + 2v

Back

9v + 14