Like terms adding and subtracting polynomials

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you add like terms?

Back

To add like terms, combine their coefficients. For example, 3x + 4x = (3 + 4)x = 7x.

Front

How do you subtract like terms?

Back

To subtract like terms, subtract their coefficients. For example, 5x - 2x = (5 - 2)x = 3x.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 + 5, the degree is 3.

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated by the formula P = 2(length + width).

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all three sides.

Front

How do you combine polynomials?

Back

To combine polynomials, add or subtract like terms. For example, (3x + 4) + (2x - 5) = (3x + 2x) + (4 - 5) = 5x - 1.

Front

What is the result of (3x + 4y - 3z) - (2x - 6y + 7z)?

Back

The result is x + 10y - 10z.

Front

What is the result of 5x + 6 + 4x?

Back

The result is 9x + 6.