Name: 

The expression can be described as a(n)

What is the degree of the term ?

The degree of the polynomial is

The model shown below can be represented by the polynomial

In the expression , the 2 is a(n)

Combine the like terms in . The answer is

When you combine the like terms in , the result is

The school band has decided to sell coupon books to raise money. The cost of the coupon book is the square of the profit, p, from the sale of the book. The sale price of the book is 4 times the profit, p, from the sale of a coupon book. Use this information to answer the following question(s).

The expression that best shows the profit if the band bought 500 coupon books but only sold 450 coupon books would be

Answer the following question(s) using the information from the scenario below.

Renting a mountain bike requires a monthly rental fee, m, and a security deposit of 4 months’ rent. Renting a street bike also requires a monthly rental fee, s, and a security deposit of 3 months’ rent. The monthly rental fees for the two types of bikes are not the same.

The term or expression that best represents the first month’s rental of a street bike would be

The opposite expression for   is

What is the opposite expression for ?

Simplify by combining like terms.

Simplify by combining like terms.

A rectangle has an area of m² and a length of 3x m. What is the width of the rectangle?

Which multiplication statement is represented by the algebra tiles below?

Determine which set of algebra tiles represents the multiplication statement .

Which set of algebra tiles represents the multiplication statement ?

Which expression represents the expanded form of ?

Which division expression do the algebra tiles represent?

A rectangular tank has the dimensions shown in metres. What is the height of the tank?

Which of the following expressions are polynomials?

Which of the following expressions is a binomial with degree 2?

Name the coefficients of the variable in the polynomial .

Identify the polynomial that is equivalent to .

Add:

Add:

Write the perimeter of this rectangle as a polynomial in simplest form.

Subtract:

Subtract:

Subtract:

Subtract:

Multiply:

Multiply:

Divide:

Divide:

Determine the area of this rectangle.

Which of these multiplication sentences is modelled by the rectangle below?

Divide:

Divide:

Identify the polynomials that can be represented by the same set of algebra tiles.

Write the multiplication sentence modelled by this rectangle.

Gail charges a flat rate per hour for babysitting for a family. In addition, she charges an hourly fee for each child she is looking after. Her flat rate per hour is twice the square of what she charges per hour for each child. Create an expression and an algebra tile model to show her hourly rate for babysitting 3 children.

The box below contains terms from different polynomials.

In a classroom, the number of tables is represented by the variable t. The number of chairs in the classroom is equal to the square of the number of tables. The number of reference textbooks in the classroom is equal to 5 more than 3 times the number of chairs.
a) Write an expression to show the number of each of these three items. Simplify the expression.
b) Determine the total number of these three items if there are 6 tables. Check your answer another way.

Patricia offers child care services. She charges a flat hourly fee, plus an hourly fee per child that is 3 less than the square of the flat rate. If parents leave snacks for their children, the per-child hourly fee is reduced by 1.
a) Write an expression to represent how much Patricia would charge for looking after 1 child for 1 h if snacks are provided.
b) If Patricia charges a flat hourly fee of $3, how much would 1 h of child care services cost for 1 child if snacks are provided?

A pool table is twice as long as it is wide. If the area of the pool table is 2.88 m², what are the dimensions of the table?

Write a simplified expression for the area of the triangle.