The perimeters of the two figures are equal. What expression represents the missing side length?

Consider the difference of squares 𝑎² − 𝑏² for integers 𝑎 and 𝑏. Make a table for the difference of squares using consecutive integers for 𝑎 and 𝑏. What pattern do you notice? Using the pattern find the pair of consecutive integers that generate the difference of squares of –45.

The length of each side of a cube is 14𝑥 + 8 𝑓𝑒𝑒𝑡. Write a polynomial in standard form to represent the volume of the cube.

This question can be easily solved by using the formula
(a + b)3 = a3 + 3a2b + 3ab2 + b3

The length of each side of a cube is 14𝑥 + 8 𝑓𝑒𝑒𝑡. Write a polynomial in standard form to represent the surface area of the cube.

This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2

Divide the remaining figure into two rectangles. What is the total area of the remaining figure (pink shaded area)? How does it represent the difference of squares?

A rectangle has a length of in. and a width of in. What is the perimeter of the rectangle

A cube has square sides with area . What expression represents the surface area of the cube?

Divide the remaining figure into two rectangles. What is the area of each rectangle?

Find the length of the boundary of the swimming pool.

Find the perimeter of the rectangle.

Simplify. Write the answer in the standard form.

Polynomial A has degree 2; polynomial B has degree 4. What can you determine about the name and the degree of the sum of the polynomials if polynomial A is a binomial and polynomial B is a monomial?

Describe the given statement as always, sometimes or never true.
A cubic monomial has a degree of 3.

Describe the given statement as always, sometimes or never true.
A trinomial has a degree of 2.

Describe the given statement as always, sometimes or never true.
A linear binomial has a degree of 0.