Adding
Polynomials
Polynomials
Subtracting Polynomials
Multiplying Polynomials
Dividing
Polynomials
Polynomials
Misconceptions
Word Problems
100
OR x2-5x-1
100
Subtract x2-2x-4 from 7x2+8x-1
6x2+10x+3
100
Multiply 6+4m by 3m
18m+12m2
100
Divide 40x2-16x by 8x
5x-2
100
Identify the error in the solution, then write the correct solution.
(5x2+2x)+(4x2+x)
=5x2+2x+4x2+x
=5x2+4x2+2x+x
=9x4+3x2
When combining like terms, the exponents of the variables were mistakenly added.
Correct Response:
(5x2+2x)+(4x2+x)
=5x2+2x+4x2+x
=5x2+4x2+2x+x
=9x2+3x
100
A rectangle swimming pool has a length of (x+6) units and a width of (x-2) unit. Find the perimeter of the swimming pool
Hint: Perimeter = 2xLength + 2xWidth
4x+8
200
Add the polynomials 3x2-2x+3 and 6x-6x2+8.
-3x2+4x+11
200
OR -x2-x+3
200
Draw Algebra tiles to represent the equation
(t2-3t+4)(2)
OR 2t2-6t+8
200
Write a division statement for the algebra tiles and solve.
(3x^2+ 6x)/(3x)=x+2
200
Identify the error in the solution, then write the correct solution.
(8x^2+12x)/(4x)
=(8x^2)/(4x)+(12x)/(4x)
=2+3
=5
The first term was improperly divided by x.
Correct Response:
(8x^2+12x)/(4x)
=(8x^2)/(4x)+(12x)/(4x)
=2x+3
200
What is the volume of the box below.
Hint: Volume=Length x Width x Height
56x^2+84x
300
Solve:
(x2+5)+(2+x+3x2)+(-5x-7x2-9)
-3x2-4x-2
300
Solve:
(5x2+7x-4)+(2x2+5)-(-5x2+7+x)
12x2+6x-6
300
Write the multiplication sentence modelled by each diagram and the solution.
(2x+3)(3x) = 6x2+9x
300
Solve:
(-8a^2+4a-12)/4
-2a2+a-3
300
Identify the error in the solution, then write the correct solution.
(3x)(4x2+7-5x)
=(3x)(4x2)+(3x)7+(3x)(-5x)
=12x2+21-15x
When distributing the 3x, the variables were not multiplied together.
(3x)(4x2+7-5x)
=(3x)(4x2)+(3x)7+(3x)(-5x)
=12x3+21x-15x2
300
How much longer is the length of the rectangle compared to the width.
Hint: Area of a rectangle = Length x Width
y^2+2y+10
400
Evaluate:
(3x2-2y2+xy)+(-2xy-2y2-3x2)
-4y2-xy
400
Evaluate:
(5x2-3x+2)-(3-2x2+5x)-(4+2x2-9x)
5x2+x-5
400
Solve:
(3m)(4+6n+8m-3n2)
24m2-9mn2+18mn+12m
400
Simplify:
((-2x^2+8x-3xy)+(26x^2-16x+15xy))/(4x)
6x+3y-2
400
Identify the error in the solution, then write the correct solution.
(4x2-3x+2)-(3x2+2x+1)
=4x2-3x+2-3x2+2x+1
=4x2-3x2-3x+2x+2+1
=x2-x+3
The negative was only distributed to the first term in the second trinomial.
Correct Response:
(4x2-3x+2)-(3x2+2x+1)
=4x2-3x+2-(3x2)-(2x)-(1)
=4x2-3x2-3x-2x+2-1
=x2-5x+1
400
The length of a ping pong table is 4 feet less than twice its width. Find the polynomial that represent the area of the ping pong table
Hint: Area = Length x Width
2w^2-4w
500
Simplify:
(3x2y-2y2z+yx)+(-2xy-2y2z-3x2-x2y)+(4y+6yx2-6x2)
8x2y-4y2z-yx-9x2+4y
500
Simplify:
((x2-3x)-(2-9x2))-((2x2-5x)-(-2x2+6))
6x2+2x+4
500
Solve:
(3m)(n+4m-3n2) + (2n)(2m+3mn+8m2)
16nm2-3n2m+7mn+12m2
500
Evaluate:
(-2x^2+8x-12xy)/(2x)+(12y^2-18y+6xy)/(3y)
x-2y-2
500
Identify the error in the solution, then write the correct solution.
(5x2+2x)-(-2x2+x)
=5x2+2x-(2x2)-(x)
=5x2-2x2+2x-x
=3x2+x
The negative was not applied to the first term in the second binomial.
Correct Response:
(5x2+2x)-(-2x2+x)
=5x2+2x-(-2x2)-(x)
=5x2+2x+2x2-x
=5x2+2x2+2x-x
=7x2+x
500
Write a polynomial in simplest form that will represent the area of the shaded region in the diagram below
Hint: Area of a rectangle = Length x Width
16x^2 +8x