4-8 Flashcard Vocab. & Simplifying Expressions 2024(Math 7)

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. In the expression 5 + 7n + 42, the constants are 5 and 42.

Front

How do you find the sum of constants in an expression?

Back

To find the sum of constants, add all the constant values together. For example, in 5 + 7n + 42, the sum is 5 + 42 = 47.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce it 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, 8n and 12n are like terms.

Front

How do you simplify the expression 5(x + 2) + 2x?

Back

Distribute 5 to (x + 2) to get 5x + 10, then combine with 2x: 5x + 10 + 2x = 7x + 10.

Front

Back

The result is 0, as the terms combine to cancel each other out.

Front

What is the process to combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 8n + 12n = 20n.

Front

Back

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value. For example, in 3x + 5, x is a variable and 5 is a constant.

Front

What does it mean to distribute in algebra?

Back

Distributing means to multiply a term by each term inside parentheses. For example, in 5(x + 2), you distribute 5 to get 5x + 10.