Multiplying Polynomials
Exponent Rules
Factoring Trinomials into Binomials
system of equation word problems
100

(x-7)(x+7)

x^2-49

100

(x^2)^2

x^4

100

x^2+10x+16

(x+8)(x+2)

100

Two bicycle riders start from the same point and ride in opposite directions. One rider is moving twice as fast as the other. After 3 hours, they are 72 miles a part. What is the speed of each rider?

the slower cycler is going 8 mph, and the faster cycler is going 16 mph

200

(2x+5)(-4x+7)

-8x^2-6x+35

200

(x^2)^3

x^6

200

x^2-5x-24

(x-8)(x+3)

200

You sell tickets to your weekly trivia game that is used as a fundraiser. You charge $6 for adults and $4 for children. This week you sold 21 tickets and collected $104.How many adult tickets did you sell?

10 adult tickets

300

2x^2(3x^2-5x+1)

6x^4-10x+2x^2

300

(x^2)^6

x^12

300

7x^2-10x+3

(7x-3)(x-1)

300

The sum of two numbers is 45. One number is 4 times the other, find the numbers.

x=9 4x=36

400

(3x+5y^2)(2y-1)

6xy-3x+10y^3-5y^2

400

(y^3)^2

y^6

400

x^2-12x+32

(x-4)(x-8)

400

John and Max went shopping. John spent $120 on 3 pairs of jeans and 6 blouses. Max spent $90 on 2 pairs of jeasn and 5 bloses

jeans=20$

blouses=$10

500

(2x+3)(4x^2+5x+6)

8x^3+22x^2+27x+18

500

(x^4)^0

x

500

x62-5x-50

(x-10)(x+5)

500

it takes 3 hours for a boat to go 18 miles downstream and 9 hours to return. What is the rate of the boat in still water and the rate of the current.

Still water is 4mph and current is 2mph