Unit 5 PRACTICE Test: Polynomials

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PRACTICE Test: Unit 5 Polynomials
Master 5.17
(ver.11-09-A)
Name:________________________
Date:_________________
62
1).
Identify the polynomials in the following expressions.
2m 2  1
2).
3).
4x
1
3x 2
1
2
x +x
0.25y 2
Identify each polynomial as a monomial, binomial, or trinomial.
19t
g  4g 2  5
1  xy  y 2
________________
_______________
_______________
4 11w
_______________
Circle the equivalent polynomial(s) that are equivalent to: x 2  4 x  3 .
x2  4 x  3
3  x 2  4 x
4).
(2 marks for each question, unless otherwise noted)
 x2  4 x  3
x3  4 x  3
4 x  3  x 2
3  4x  x 2
4 x  x 2  3
3  4x  x 2
Write a polynomial using the given information.
A.) A binomial that contains the variable x, with constant term 2, and the coefficient of the other term
is 3
_________________________________
B.) A trinomial that contains the variable k, the coefficient of the second degree term is 1, the
coefficient of the first degree term is 5, and the constant term is 8.
_________________________________
5).
Use algebra tiles to model each polynomial. Sketch the tiles.
A.) 2x 1
B.) 3a 2  2a  1
14
6).
Simplify each polynomial.
A.) 3a 2  2a  4  3a  2a 2  1
B.) 6 x 2  10 x  4  3  12 x  7 x 2
__________________________
__________________________
7).
Write an expression for the perimeter of this triangle. Simplify the polynomial.
8).
Determine the perimeter of the triangle in the previous question if y = 3 cm.
9).
Use algebra tiles, sketch your tile model representing:
Record your answer symbolically.
 4x  2   2x  1
_____________________
.
________________________
10). Add or subtract as indicated.
A.) (3x + 6) – (x – 2) =
___________________
2
B.) (3y + 7y + 9) – (3y2 + 4y)
___________________
C.) (x – 3x2) + (7 + 3x – 3x2)
___________________
D.) (–5y2 – y + 9) – (–2y2 – y – 4)
___________________
18
11). Create one addition and one subtraction question that gives this result.
Addition
_________________ + ________________ = ___________________
(4 marks)
Subtraction
12). Write the multiplication sentence and the division sentence modelled by this set of
algebra tiles.
Multiplication
(
)(
)=
(4 marks)
Division
13). Multiply or divide as indicated.
A.) 2(–5r – 3)
D.) (8y2 – 6y + 2) ÷ (–2)
____________________
B.)
E.) 3c  5c  2 
___________________
12 p 2  18 p  24
6
____________________
2
C.) (1 + 3f – 4f )(–6)
____________________
F.)  1  10r  r 
___________________
______________________
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20
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G.)
H.)  6 x  9 xy    3x  =
8v 2  4v
=
2v
____________________
____________________
14). Identify the error(s) in the solution. Complete the correct solution on the right.
3x(2x + 1)
= 6x + 3x
= 9x
15). The perimeter of a rectangle is 8s2 +12s. If the width of the rectangle is 4s, what is the length?
Explain your strategy.
Length = ________________
16). Here is a student’s solution for a division question.
 12 x
2
 9 x    3 x 

12 x 2  9 x
3x

12 x 2 9 x

3x 3 x
 4x2  3
A.) Explain why the student’s solution is incorrect.
_____________________________________________________________________________________
______________________________________________________________________________________
B.) Complete a correct solution on the space to the right of the student’s solution.
10
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