11/19 Warm Up

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

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

Back

Combine like terms: 3x + 5x = 8x and 4 + 3 = 7, so the simplified expression is 8x + 7.

Front

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

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the degree of the polynomial -5x - 3?

Back

The degree of the polynomial -5x - 3 is 1, as the highest exponent of the variable x is 1.

Front

How do you simplify the expression 8c + 5 + 6c + 12?

Back

Combine like terms: 8c + 6c = 14c and 5 + 12 = 17, so the simplified expression is 14c + 17.

Front

What is the result of simplifying the expression 2x + 1 + 7x?

Back

Combine like terms: 2x + 7x = 9x and the constant remains 1, so the simplified expression is 9x + 1.

Front

What are algebra tiles used for?

Back

Algebra tiles are manipulatives used to visually represent and solve algebraic expressions and equations.

Front

What is the process of evaluating an expression?

Back

Evaluating an expression involves substituting values for the variables and performing the arithmetic operations to find a numerical result.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor that multiplies a variable in a term of a polynomial.

Front

How do you identify the leading term of a polynomial?

Back

The leading term of a polynomial is the term with the highest degree when the polynomial is written in standard form.