Name:    Math 9 LG 7 Unit 2 Practice Unit Test #4

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

The term represents the
 a. difference between 4 and c. quotient of 4 and b. product of 4 and d. sum of 4 and

2.

The expression can be described as a(n)
 a. binomial c. term b. equation d. trinomial

3.

How many terms are there in the polynomial ?
 a. 2 b. 3 c. 4 d. 5

4.

How many terms are there in the polynomial ?
 a. 2 b. 3 c. 4 d. 12

5.

What is the degree of the term ?
 a. 1 b. 2 c. 3 d. 5

6.

The degree of the term is
 a. 4 b. 7 c. 11 d. 28

7.

The degree of the polynomial is
 a. 2 b. 3 c. 4 d. 10

8.

The model shown below can be represented by the polynomial

 a. c. b. d.

9.

In the expression , the 2 is a(n)
 a. coefficient c. term b. exponent d. variable

10.

Simplify the following expression by grouping like terms.
 a. c. b. d.

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).

11.

The term or polynomial that best shows the sale price of a coupon book would be
 a. c. b. d.

12.

The term or polynomial that best shows the profit from selling a coupon book would be
 a. c. b. d.

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.

13.

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

14.

 a. c. b. d.

15.

Subtract the following polynomials and combine like terms.
 a. c. b. d.

16.

Determine the product of .
 a. c. b. d.

17.

Determine the simplified form of the expression .
 a. c. b. d.

18.

A rectangle has an area of m2 and a length of 3x m. What is the width of the rectangle?
 a. 6 c. b. d.

19.

Which multiplication statement is represented by the algebra tiles below?

 a. c. b. d.

20.

Determine which set of algebra tiles represents the multiplication statement .
 a. c. b. d.

21.

Which set of algebra tiles represents the multiplication statement ?
 a. c. b. d.

22.

Determine the value of the expression .
 a. c. b. d.

23.

Two identical speakers are shown below. Determine an expression for the total surface area of each speaker.

 a. c. b. d.

24.

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

 a. c. b. d.

25.

A rectangular tank has the dimensions shown below. Determine the height of the tank.

 a. 3x c. 3x + 1 b. 3x2 d. 3x2 + 1

26.

Identify the polynomials that can be represented by the same set of algebra tiles.
i)
ii)
iii)
iv)
 a. iii and iv b. i and iv c. ii and iv d. i and ii

27.

From the list, which terms are like 5x?
5x2, 4x, 3, -8x, -5x, 9x2, 5
 a. -5x c. 4x, -8x, -5x b. 5x2, 5 d. 5x2, -5x, -5x2

28.

From the list, which terms are like -7x2?
7x2, 7x, 6x2, -7, -5, -7x, -3x2
 a. 7x2, 7x, -7, -7x c. 7x2, 7x, -7x b. 7x2 d. 7x2, 6x2, -3x2

29.

Combine like terms. Sketch algebra tiles if it helps.
 a. c. b. d.

30.

Simplify:
 a. b. c. d.

31.

Write the perimeter of this triangle as a polynomial in simplest form.
 a. b. c. d.

32.

 a. c. b. d.

33.

 a. c. b. d.

34.

Subtract:
 a. b. 0 c. d.

35.

Divide:
 a. b. c. d.

36.

Multiply:
 a. b. c. d.

37.

Which of the following expressions are polynomials?
i)
ii)
iii)
iv)

38.

Identify the degree of each polynomial.
a)
b)
c)
d)
e)

39.

40.

Divide:

Problem

41.

a)      Write the multiplication sentence modelled by this rectangle.
b)      Determine the area of the rectangle when x = 12.

42.

a)      Write a polynomial to represent the area of rectangle A.
b)      Write a polynomial to represent the area of rectangle B.
c)      Write a polynomial to represent the total area of rectangle A and rectangle B.

43.

An open, cube-shaped box has a volume of cm3. Find the total surface area of the box.

44.

A field is m wide. It is 6 m longer than twice the width.
a) What is an expression for the area of the field?
b) If x = 7, what is the area of the field?
c) Use another method to answer b).

45.

The volume of a speaker is m3. The width of the speaker is 2x m and the depth is 6x m. What is the height of the speaker?