Algebra Tiles, Area and Perimeter

Front

What are coefficients in an algebraic expression?

Back

Coefficients are the numerical factors in terms of an algebraic expression. For example, in the expression 4x^3 + 2x^2 + x + 5, the coefficients are 4, 2, and 1.

Front

What is the area of a tile represented by the expression 5?

Back

The area of the tile is 5 square units.

Front

How do you calculate the perimeter of algebra tiles?

Back

The perimeter is calculated by adding the lengths of all sides. For example, for tiles represented by the expression 6x + 4, the perimeter is 6x + 4 units.

Front

What is the area of algebra tiles represented by the expression 2x^2 + 2x?

Back

The area of the algebra tiles is 2x^2 + 2x square units.

Front

How many terms are in the expression 4x^3 + 2x^2 + 7x + 5?

Back

There are 4 terms in the expression.

Front

What is an algebra tile?

Back

An algebra tile is a manipulative used to represent algebraic expressions and equations visually.

Front

What does the term 'area' mean in mathematics?

Back

Area is the measure of the space inside a two-dimensional shape, usually measured in square units.

Front

What does the term 'perimeter' mean in mathematics?

Back

Perimeter is the total distance around a two-dimensional shape, calculated by adding the lengths of all sides.

Front

What is the difference between a term and a coefficient?

Back

A term is a single mathematical expression that can be a number, variable, or the product of both, while a coefficient is the numerical part of a term.

Front

How do you identify 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 + x + 5, the degree is 3.