POLYNOMIALS
LAW OF EXPONENTS
SOLVING SYSTEMS
FACTORING TRINOMIALS
BONUS
100

(3x+5) + (4x+1)

7x + 6

100

State the formula for the Multiplication Law and explain what it means.

xm xn = xm+n

When we are multiplying by the same base, we can add the exponents

100

The solution to the system of equations:

r + s = -6
r - s = -10

What is (-8, 2)?

100

Factor x2+8x+12

(x+6)(x+2)

100

State what Law(s) of Exponents apply, and solve.

80x22 / 5x18

Division Law

16x4

200

Simplify (3x + 7y) - (12x - 6y) 

What is -9x + 13y


200

State what Law(s) of Exponents apply, and solve.

(4a3b12)5

1024a15b60

200

The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)

200

x2+16x+64

(x+8)2

200

Factor m2-11m+18

(m-9)(m-2)

300

Factor x2 + 12x + 20 

(x + 10) (x + 2)

300

Solve (10x6y4)2 + 11x5y(4x7y7)

144x24y16

300

The solution to the system of equations

y = (1/3)x - 3
2x - y = 8

What is (3, -2)

300

Factor by GCF 8-4a22

4(2-a2)

300

A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?

What is $30?

400

Simplify (7x3 - 9x2 - 14x) - (4x3 - 4 - x)

3x3 - 9x2 - 13x + 4

400

State the formula for the Division Law and explain what it means.

xm / xn = xm-n

When we are dividing by the same base, we can subtract the exponents

400

The solution to the system

3s - 2t = 4
t = 2s - 1

What is (-2, -5)

400

Factor by GCF 4x4+16x3-8x2  

4x2(x2+4x-2)

400

(5x-7) - (8x-2)

What is -3x - 5?

500

Solve (5x4 + 2x2 - 15x + 10) ÷ (x + 2)

5x3 - 10x2 + 22x - 59 + 128/x + 2

500

We defined exponents as.....

What is a number to show the repeated multiplication of a number?

500

The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.  

What is 400 advanced tickets, 200 game-day tickets?  

500

Factor 3t3+5t2-12t

t(3t-4)(t+3)

500

Factor by GCF 10a3b4-6a2b6

2a2b4(5a-3b2)