Simplifying Expressions

Front

What is simplifying expressions?

Back

Simplifying expressions involves combining like terms and performing operations to reduce an expression to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify: 19 - (3 - 5b)

Back

16 + 5b

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable. For example, 2x + 3x = 5x.

Front

Simplify: 1y + 2x + 3y + 4x

Back

4y + 6x

Front

What does the distributive property state?

Back

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

Front

Simplify: 3(9a + 2) + 5(2a - 4)

Back

37a - 14

Front

What is the result of adding coefficients of like terms?

Back

The result is a new coefficient for the like terms. For example, 5n + 11n = 16n.

Front

Simplify: 5n + 11n

Back

16n

Front

What is the importance of parentheses in expressions?

Back

Parentheses indicate which operations should be performed first in an expression, following the order of operations.