Adding 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: 6(x + 7) + (x + 3)

Back

7x + 45

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify the expression: (x - 1) + (2x + 3)

Back

3x + 2

Front

What is a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents one or more numbers.

Front

Simplify the expression: (7b - 4) + (-2b + a + 1)

Back

5b + a - 3

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 0.

Front

Simplify the expression: (6 - k) + (4k + 1)

Back

3k + 7

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

Front

Simplify the expression: (-x + 8) + (-5x - 1)

Back

-6x + 7