Multiple Choice Identify the
choice that best completes the statement or answers the question.
|
|
1.
|
The expression can be described as a(n)
a. | binomial | c. | polynomial | b. | equation | d. | term |
|
|
2.
|
What is the degree of the polynomial ?
|
|
3.
|
Which polynomial is represented by the following model?
|
|
4.
|
Identify the like terms in the following list of terms. , ,
, ,
|
|
5.
|
When the following model is simplified, which expression is produced?
|
|
6.
|
Simplify the following expression by grouping like terms.
|
|
|
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.
|
|
7.
|
The expression that best represents the difference between the cost to rent a
mountain bike for 6 months and the cost of renting a street bike for the same period would be
|
|
8.
|
The opposite expression for is
|
|
9.
|
The opposite expression for is
|
|
10.
|
Simplify by combining like terms.
|
|
11.
|
Subtract the following polynomials and combine like terms.
|
|
12.
|
Simplify by combining like terms.
|
|
13.
|
What is the volume of this rectangular prism?
|
|
14.
|
If the volume of the rectangular prism below is cubic units, what is the
missing dimension?
|
|
15.
|
Determine the missing dimension of the rectangle.
|
|
16.
|
Which multiplication statement is represented by the algebra tiles
below?
|
|
17.
|
Which set of algebra tiles represents the multiplication statement ?
|
|
18.
|
What division expression do the algebra tiles represent?
|
|
19.
|
Determine the unknown dimension of the rectangle shown below.
|
|
20.
|
A rectangular tank has the dimensions shown in metres. What is the height of the
tank?
|
|
21.
|
How many terms are in the polynomial ?
|
|
22.
|
Identify the polynomials that can be represented by the same set of algebra
tiles.
a. | iii and iv | b. | i and iv | c. | ii and iv | d. | i and
ii |
|
|
23.
|
Combine like terms. Sketch algebra tiles if it helps.
|
|
24.
|
Add the polynomials. Visualize algebra tiles if it helps.
|
|
25.
|
Add:
|
|
26.
|
Write the perimeter of this triangle as a polynomial in simplest form.
|
|
27.
|
Subtract:
|
|
28.
|
Subtract:
|
|
29.
|
Subtract:
|
|
30.
|
Subtract:
|
|
31.
|
Multiply:
|
|
32.
|
Divide:
|
|
33.
|
Multiply:
|
|
34.
|
Multiply:
|
|
35.
|
Divide:
|
|
36.
|
Multiply:
|
Short Answer
|
|
37.
|
Write the perimeter of this equilateral triangle as a polynomial in simplest
form.
|
|
38.
|
Write the perimeter of this rectangle as a polynomial in simplest form.
|
|
39.
|
Multiply:
|
|
40.
|
Replace the question mark with an algebra tile model to make a true
statement.
|
Problem
|
|
41.
|
a) Write a
polynomial with 7 terms that simplifies to . b)
Write a trinomial with degree 2 that cannot be simplified. Explain
why it cannot be simplified.
|
|
42.
|
A student subtracted like this: a) Explain why the solution is
incorrect. b) What is the correct answer? Show your work.
|
|
43.
|
The polynomial represents the amount of ink, in millilitres, of printing
p posters and f flyers in colour. The polynomial represents the amount of
ink, in millilitres, of printing p posters and f flyers in black-and-white. a) Write a polynomial for the difference in
the amount of ink needed to print the two types of posters and
flyers. b) How much ink is saved if someone prints 210 posters and
180 flyers in black-and-white instead of colour?
|
|
44.
|
Sasha sells small, medium, and large area rugs at the market and earns a
commission on each sale. He earns x dollars for every small rug that he sells. He earns $5
more for each medium rug he sells than he earns for selling a small rug. For every large area rug
sold, he earns $2 more than twice what he earns for selling a small area rug. a) Write an
expression to describe the amount Sasha earns if he sells 4 small rugs, 3 medium rugs, and 2 large
rugs. b) If Sasha earns a $5 commission for selling a small rug, how much does he make
selling the rugs listed in part a)?
|
|
45.
|
To raise money for new uniforms, the school volleyball team held a bake sale
where they sold cookies, squares, and muffins. The number of cookies sold is twice the square of the
number of muffins sold. Only 10 squares were sold. a) Write an expression to represent the
total number of baked goods sold at the bake sale. b) A month after the first bake sale,
the team had another bake sale which was much more successful. This time they sold three times as
much of each baked good as they sold in the first bake sale. Use a simplified expression to show the
number of baked goods they sold during this sale. c) How many more items did they sell at
the second bake sale? Show your thinking.
|