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: 2(3x + 4)

Back

6x + 8

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: 5x + 3x - 2x

Back

6x

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

Simplify the expression: 4(2y - 3) + 3y

Back

8y - 12 + 3y = 11y - 12

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, 5 is a constant.

Front

Simplify the expression: 7 - 2(3 + 4)

Back

7 - 2(7) = 7 - 14 = -7

Front

What is the purpose of parentheses in algebra?

Back

Parentheses indicate which operations should be performed first in an expression.

Front

Simplify the expression: 10 - (2x + 3)

Back

10 - 2x - 3 = 7 - 2x