Name: 
 

Math 9 LG 7 Unit 2 Practice Unit Test #2



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

 1. 

The expression mc001-1.jpg can be described as a(n)
a.
binomial
c.
polynomial
b.
equation
d.
term
 

 2. 

What is the degree of the polynomial mc002-1.jpg?
a.
1
b.
2
c.
4
d.
7
 

 3. 

Which polynomial is represented by the following model?

mc003-1.jpg
a.
mc003-2.jpg
c.
mc003-4.jpg
b.
mc003-3.jpg
d.
mc003-5.jpg
 

 4. 

Identify the like terms in the following list of terms. mc004-1.jpg, mc004-2.jpg, mc004-3.jpg, mc004-4.jpg, mc004-5.jpg
a.
mc004-6.jpg and mc004-7.jpg
c.
mc004-10.jpg and mc004-11.jpg
b.
mc004-8.jpg and mc004-9.jpg
d.
mc004-12.jpg and mc004-13.jpg
 

 5. 

When the following model is simplified, which expression is produced?

mc005-1.jpg
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 

Simplify the following expression by grouping like terms. mc006-1.jpg
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 
 
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
a.
mc007-1.jpg
c.
mc007-3.jpg
b.
mc007-2.jpg
d.
mc007-4.jpg
 

 8. 

The opposite expression for mc008-1.jpg  is
a.
mc008-2.jpg
c.
mc008-4.jpg
b.
mc008-3.jpg
d.
mc008-5.jpg
 

 9. 

The opposite expression for mc009-1.jpg is
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
mc009-5.jpg
 

 10. 

Simplify by combining like terms. mc010-1.jpg
a.
mc010-2.jpg
c.
mc010-4.jpg
b.
mc010-3.jpg
d.
mc010-5.jpg
 

 11. 

Subtract the following polynomials and combine like terms. mc011-1.jpg
a.
mc011-2.jpg
c.
mc011-4.jpg
b.
mc011-3.jpg
d.
mc011-5.jpg
 

 12. 

Simplify by combining like terms. mc012-1.jpg
a.
mc012-2.jpg
c.
mc012-4.jpg
b.
mc012-3.jpg
d.
mc012-5.jpg
 

 13. 

What is the volume of this rectangular prism?

mc013-1.jpg
a.
24
c.
mc013-3.jpg
b.
mc013-2.jpg
d.
mc013-4.jpg
 

 14. 

If the volume of the rectangular prism below is mc014-1.jpg cubic units, what is the missing dimension?

mc014-2.jpg
a.
mc014-3.jpg
c.
mc014-5.jpg
b.
mc014-4.jpg
d.
mc014-6.jpg
 

 15. 

Determine the missing dimension of the rectangle.

mc015-1.jpg
a.
mc015-2.jpg
c.
mc015-4.jpg
b.
mc015-3.jpg
d.
mc015-5.jpg
 

 16. 

Which multiplication statement is represented by the algebra tiles below?

mc016-1.jpg
a.
mc016-2.jpg
c.
mc016-4.jpg
b.
mc016-3.jpg
d.
mc016-5.jpg
 

 17. 

Which set of algebra tiles represents the multiplication statement mc017-1.jpg?
a.
mc017-2.jpg
c.
mc017-4.jpg
b.
mc017-3.jpg
d.
mc017-5.jpg
 

 18. 

What division expression do the algebra tiles represent?

mc018-1.jpg
a.
mc018-2.jpg
c.
mc018-4.jpg
b.
mc018-3.jpg
d.
mc018-5.jpg
 

 19. 

Determine the unknown dimension of the rectangle shown below.

mc019-1.jpg
a.
mc019-2.jpg
c.
mc019-4.jpg
b.
mc019-3.jpg
d.
mc019-5.jpg
 

 20. 

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

mc020-1.jpg
a.
mc020-2.jpg
c.
mc020-4.jpg
b.
mc020-3.jpg
d.
mc020-5.jpg
 

 21. 

How many terms are in the polynomial mc021-1.jpg?
a.
10
b.
1
c.
11
d.
3
 

 22. 

Identify the polynomials that can be represented by the same set of algebra tiles.
i)      mc022-1.jpg
ii)      mc022-2.jpg
iii)      mc022-3.jpg
iv)      mc022-4.jpg
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.
mc023-1.jpg
a.
mc023-2.jpg
c.
mc023-4.jpg
b.
mc023-3.jpg
d.
mc023-5.jpg
 

 24. 

Add the polynomials. Visualize algebra tiles if it helps.
mc024-1.jpg
a.
mc024-2.jpg
b.
mc024-3.jpg
c.
mc024-4.jpg
d.
mc024-5.jpg
 

 25. 

Add: mc025-1.jpg
a.
mc025-2.jpg
b.
mc025-3.jpg
c.
mc025-4.jpg
d.
mc025-5.jpg
 

 26. 

Write the perimeter of this triangle as a polynomial in simplest form.
mc026-1.jpg
a.
mc026-2.jpg
b.
mc026-3.jpg
c.
mc026-4.jpg
d.
mc026-5.jpg
 

 27. 

Subtract: mc027-1.jpg
a.
mc027-2.jpg
b.
mc027-3.jpg
c.
mc027-4.jpg
d.
mc027-5.jpg
 

 28. 

Subtract: mc028-1.jpg
a.
mc028-2.jpg
b.
0
c.
mc028-3.jpg
d.
mc028-4.jpg
 

 29. 

Subtract: mc029-1.jpg
a.
mc029-2.jpg
b.
mc029-3.jpg
c.
mc029-4.jpg
d.
0
 

 30. 

Subtract: mc030-1.jpg
a.
mc030-2.jpg
c.
mc030-4.jpg
b.
mc030-3.jpg
d.
mc030-5.jpg
 

 31. 

Multiply: mc031-1.jpg
a.
mc031-2.jpg
b.
mc031-3.jpg
c.
mc031-4.jpg
d.
mc031-5.jpg
 

 32. 

Divide: mc032-1.jpg
a.
mc032-2.jpg
c.
mc032-4.jpg
b.
mc032-3.jpg
d.
mc032-5.jpg
 

 33. 

Multiply: mc033-1.jpg
a.
mc033-2.jpg
c.
mc033-4.jpg
b.
mc033-3.jpg
d.
mc033-5.jpg
 

 34. 

Multiply: mc034-1.jpg
a.
mc034-2.jpg
b.
mc034-3.jpg
c.
mc034-4.jpg
d.
mc034-5.jpg
 

 35. 

Divide: mc035-1.jpg
a.
mc035-2.jpg
b.
mc035-3.jpg
c.
mc035-4.jpg
d.
mc035-5.jpg
 

 36. 

Multiply: mc036-1.jpg
a.
mc036-2.jpg
b.
mc036-3.jpg
c.
mc036-4.jpg
d.
mc036-5.jpg
 

Short Answer
 

 37. 

Write the perimeter of this equilateral triangle as a polynomial in simplest form.
sa037-1.jpg
 

 38. 

Write the perimeter of this rectangle as a polynomial in simplest form.
sa038-1.jpg
 

 39. 

Multiply: sa039-1.jpg
 

 40. 

Replace the question mark with an algebra tile model to make a true statement.

sa040-1.jpg
 

Problem
 

 41. 

a)      Write a polynomial with 7 terms that simplifies to pr041-1.jpg.
b)      Write a trinomial with degree 2 that cannot be simplified.
      Explain why it cannot be simplified.
 

 42. 

A student subtracted like this:
pr042-1.jpg

a) Explain why the solution is incorrect.
b) What is the correct answer? Show your work.
 

 43. 

The polynomial pr043-1.jpg represents the amount of ink, in millilitres, of printing p posters and f flyers in colour. The polynomial pr043-2.jpg 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.
 



 
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