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MPM 1D1 Name: ________________
Polynomials Test
PART ONE: MULTIPLE CHOICE (12 marks)
___________1. Which is the simplified form of ?
a. b.
c. d.
___________2. Which expression is equivalent to
a. b.
c. d.
___________3. What is the simplified form of
a. b.
c. d.
___________4. What is the value of ?
a. b.
c. d.
3x2y ! 5xy
15x2y2 15x3y
15x2y 15x3y2
3 2x + 3( ) + 2 x +1( )
7x + 8 8x + 4
8x + 9 8x +11
g ! g4 ! g3
g7 g8
g12 g13
12
!"#
$%&4
18
12
116 2
___________5. Which expression is equivalent to
a. b.
c. d.
___________6. The expressions in which pair are equal?
a. and b. and
c. and d. and
___________7. Which expression can NOT be simplified?
a. b.
c. d.
___________8. Which expression is equivalent to
a. b.
c. d.
___________9. Simplify
a. b.
c. d.
4x 2x + 3( ) ! 5x
8x2 ! 5x + 3 20x2 ! 5x
8x2 ! 6x 8x2 + 7x
5m2 5m( )2 2 c7( )3 8c21
yz( )4 y4z4 !3a2 !3( )a2
2x + 9x 5n2 + 7n
a + a5 3p2 !14 p2
3 b2 + b( ) + 2 b2 + b( ) ! 4b2
5b2 + b 5b2 + 9b
9b2 + 5b b2 + 5b
x ! 3y( ) ! 2x + 4( ) + x + 2y( )
!y + 4 x ! y + 4
!5y ! 4 !y ! 4
__________10. Which statement is false?
a. and are unlike terms b. are like terms
c. Like Terms have identical variables d. are like terms
__________11. Which expression is not equivalent to the others?
a. b.
c. d.
__________12. Simplify
a. b.
c. d.
PART TWO: MATCHING (7 marks)
a. Distributive Property b. Polynomial c. Term d. Degree of a term
e. degree of a polynomial
f. variable g. like terms
__________ 1. A quantity whose value can change or vary
___________2. An expression formed by the product of numbers and/or
variables
___________3. An algebraic expression formed by adding or subtracting terms
___________4. The degree of the highest degree term
___________5. Terms that have identical variables
___________6.
___________7. The sum of the exponents on the variables in a term
!3a 4b212,3,!0.7
x,2x, 3x2
3x + y + 2x ! 3y + x 7x ! x + y ! y ! 2y
5y ! 2x + 3x ! 7y + 5x 3x + 2y + 3x
3x x2 ! 2x( ) ! x 3! x( )
3x3 ! 5x2 ! 3x !5x2
3x3 ! 7x2 ! 3 3x 3!5x2 ! 3
a x + y( ) = ax + ay
PART THREE: SHORT ANSWER
1. The equation , represents the height of a foul ball. The “h” represents the height and the “t” represents the time in seconds. What would the height of the ball be after 4 seconds? (2 marks)
2. The formula for the perimeter of an object is the total of all the sides. Find the perimeter of the triangle below. (2 marks)
h = 30t ! 4.9t 2
! p + 5( )
2 p2 ! 3( )
3p3 ! 2p
3. Simplify (leave answers in fraction form) (1 mark each)
a.
b.
c.
4. Simplify (leave answers in fraction form) (2 marks each)
a.
b.
5g2 ! "3g3( )
9x12
27x6
2 f 4( )5
4a3( )2 ! 2a52a( )3
5x2y( )2 ÷ x3y425x!3y!2
5. Give an example of a binomial with degree seven ( 2 marks)
6. Give an example of: (2 marks) a. Two UNLIKE terms
b. Two LIKE terms
7. Expand and simplify: (5 marks)
a.
b.
c.
!3 2x ! 5( )
5m + 2 m ! 4( ) ! 3m +1( )
3d d 2 ! 2d +1( )
8. Collect Like Terms: (2 marks)
9. Explain, with an example, exponential growth (2 marks)
Have a Fabulous Weekend!
3uv2 ! 5u + 2uv2 ! 9 + 6u !1