Simplify
Foil
Distributive
Word Problems
Equations
100

x2 + y2

x2 + y2

100

(x +1)(x - 1)

x2 - 1

100

3(x+7)

3x+21

100

Josh is twice as old as Bob when Bob was 6. How old is Josh when Bob is 20?

26 y/o

100

2x = 14

x = 7

200

x2y3x4y-5

x6/y-2

200

(3x + 3)(2x - 1)

6x2 +3x - 3

200

3x(3x+2)

9x2 +6x

200

Albert and Robert’s ages together sum to 20. What will be the sum of their ages next decade?

40 y/o

200

3x - 9 = 25

x = 11.33

300

(2x5y5)11

2048x55y55

300

(x3 - 5x)(x2 + 2)

x5 - 3x3 - 10x

300

8-(7x+11)

-7x - 3

300

The length of a rectangle is 6 less than 3 times the width. What is the width if the perimeter is 28 m?

5 m

300

2(8 - x) = 2x+16

x = 0

400

(3x6y)2(xy3)

9(x^13)y^5

400

(x2 + 3x + 4)(2x - 5)

2x3 + x2 - 7x - 20

400

7x(x+x5)

7x6 + 7x2

400

Thomas invested $880, part at 9% annum and the rest at 12% per annum. After one year the total interest earned was $79.50. How much did he invest at each rate?

$870 at 9% and $10 at 12% per annum

400

[3x-4]/x = 12-9

N/A

500

(50x2y3)3(32x5) / x(x4)2(y2)3

9x2y3

500

(x2 + 3)(-2x + 1)(x - 2)

-2x4 + 5x3 - 8x2 + 15x - 6

500

3x(x3+4x+x)

3x4 +15x2

500

A big bus traveled a total of 630000 meters in 12 hours. The bus was travelling at 60 km/h for the first part of the ride. In the second part, they saw a unicorn and had to slow down and travel at 30 km/h. How long did they travel at 100000 cm/m? How much longer did they travel at 60 km/h than 30 km/h?

9 h, 6 h

500

 [15x2 - 40] / x = 5[2x - x]

x = 2

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