Simplify 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: 9(2x + 3) + 4(x - 10)

Back

22x - 13

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: 7x + 2 + 3 + 4x

Back

11x + 5

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 5x, 5 is the coefficient.

Front

Simplify the expression: 4(x + 3)

Back

4x + 12

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: 8 + 3(x - 5)

Back

3x - 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: 4 + 5(3x + 2) - 2x

Back

13x + 14