Combine Like Terms and Distributive Property

Front

What does it mean to combine like terms in an algebraic expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power, simplifying the expression.

Front

What is the distributive property?

Back

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

Front

How do you simplify the expression -10x + 15 - 3x + 2?

Back

Combine like terms: -10x - 3x + 15 + 2 = -13x + 17.

Front

What is the result of distributing 7a across the expression (3b - 2c + 4)?

Back

The result is 21ab - 14ac + 28a.

Front

How do you apply the distributive property to the expression 4(-x - 6)?

Back

Distributing gives -4x - 24.

Front

What is the first step in expanding the expression 3(c - 2d)?

Back

Multiply 3 by each term inside the parentheses: 3c - 6d.

Front

What is the final result of expanding and simplifying 3(c - 2d) - 2(2c - 3d)?

Back

The final result is -c.

Front

What are the steps to combine like terms in the expression 5x + 3x - 2 + 4?

Back

Combine the x terms: 5x + 3x = 8x; combine the constants: -2 + 4 = 2; the final result is 8x + 2.

Front

How do you simplify the expression 2x + 3y - 4x + 5y?

Back

Combine like terms: (2x - 4x) + (3y + 5y) = -2x + 8y.

Front

What is the result of applying the distributive property to -2(3x + 4)?

Back

The result is -6x - 8.