Simplifying Algebraic Expressions

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you simplify the expression 3(2c - 5)?

Back

By applying the distributive property, you get 6c - 15.

Front

What is the result of simplifying the expression 19 - (3 - 5b)?

Back

The result is 16 + 5b after distributing the negative sign.

Front

Fill in the blank: 2(x + 7) = 2x + __

Back

14, because 2 times 7 equals 14.

Front

What is the sum of the expressions 3x + 2x?

Back

The sum is 5x, as you combine like terms.

Front

How do you simplify the expression 6 + 2(7x - 3)?

Back

By distributing, you get 6 + 14x - 6, which simplifies to 14x.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the first step in simplifying an algebraic expression?

Back

The first step is to identify and combine like terms.

Front

What does it mean to combine like terms?

Back

Combining like terms means adding or subtracting coefficients of terms that have the same variable.

Front

What is the result of simplifying the expression 4x + 3x - 2x?

Back

The result is 5x, as you combine the coefficients.