Simplify Expressions

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as concise as possible.

Front

What is a like term?

Back

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

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 parenthesis.

Front

Simplify: −4(𝑥 − 9) − 3 + 7𝑥

Back

3x + 33

Front

Simplify: 2(3𝑥 − 1) + 𝑥

Back

7x - 2

Front

What is the result of combining like terms?

Back

Combining like terms involves adding or subtracting the coefficients of like terms to simplify the expression.

Front

Simplify: 8 − 4(3𝑥 + 9) − 2(𝑥 − 7) + 𝑥

Back

−13x - 14

Front

What is the coefficient in the term 5x?

Back

The coefficient in the term 5x is 5, which is the number multiplying the variable x.

Front

Simplify: 8(2𝑥 − 5)

Back

16x - 40

Front

What is the purpose of parentheses in an expression?

Back

Parentheses indicate which operations should be performed first in an expression according to the order of operations.