+-x/ Polynomials

addition

100

(3x+5)+(2x−1)

5x+4

200

(4x²+2x−7)+(3x²−5x+9)

7x²−3x+2

300

(5a²−4a+6)+(2a²+8a−9)

7a²+4a−3

400

Sam earns 5x dollars mowing lawns and 3x+12 dollars babysitting. 

1) Write an expression for Sam's total earnings.

2) if x is 2, how much money did he earn?

1)8x+12

2)$28

500

(0.5y²−5y+4)+(1.5y²+9y−11)-1

2y²+4y−8

subtraction

100

(5x+7)−(2x+4)

3x+3

200

(-7x²−3x+8)−(2x²+4x−5)

-9x²−7x+13

300

(9a²+2a−6)−(4a²−5a+1)

5a²+7a−7

400

A school is making T-shirts for three sports teams.

• The basketball team orders 4(2x+5)+3x−7 shirts.
• The volleyball team orders 3(x+4)+2x+9shirts.
• The soccer team orders 2(x+6)−5shirts.

Question:
How many more shirts do the basketball and soccer teams order altogether than the volleyball team? Write your answer as a simplified polynomial.

8x−1 shirts

500

(12x²−7x+15)−(5x²−10x−8)

7x²+3x+23

multiplication

100

−3(2x+5)

−6x−15

200

5x(3x−4)

15x²−20x

300

−2x(4x²−3x+7)

−8x²+6x²−14x

400

A triangle has length x+3 and width x.

(x^2+3x)/2

unit²

500

−5x²(3x²−2x−6)

−15x⁴+10x³+30x²

division

100

(12x)/-3

-4x

200

(-15x^2)/(-5x)

3x

300

(12x^2+18x)/6

2x^2+3x

400

(20x^3-10x^2-30x)/(10x)

2x^2-x-3

500

A community garden harvests 30x³−15x²+45x kilograms of vegetables. The harvest is shared equally among 15x neighbourhood groups.

How many kilograms of vegetables does each group receive? Simplify your answer.

2x²−x+3 kg

miscellaneous

100

What is the capital city of British Columbia?

Victoria

200

How many sides does a dodecagon have?

12

300

Which ocean borders British Columbia?

Pacific Ocean

400

What is the hardest natural substance on Earth?

Diamond

500

What is the only metal that is liquid at room temperature?

Mercury