Laws of Exponents 1
Laws of Exponents 2
Systems of Equations 1
Systems of Equations 2
Exponential Functions
Distributive Property/Factoring
100

Simplify using Laws of Exponents: d22 · d12

d34

100

Simplify using Laws of Exponents: (32)5

310

100

Solve the system of equations by graphing:

{(y ,=, 3x-5),(y,=,-2x+5):}

100

Graph the following system of inequalities


100

What is the equation for exponential function?

y=A\cdot b^x

100

Simplify

4(x+y)

4x+4y

200

Simplify using Laws of Exponents: b12 / b8

b4

200

Simplify using Laws of Exponents: (x4)3

x12

200

Solve the following system by substitution.

(-3,-2)

200

Solve by substitution

(1,2)

200

For the equation of an exponential function., which variable represents the starting amount?

y=A\cdotb^x

A

200

Simplify

4(2x-3)

8x-12

300

Simplify using Laws of Exponents: 4x9 / 2x5

2x4

300

Simplify using Laws of Exponents: (6b12)(3b2)

18b14

300

Solve the following system by Elimination.

(5,1)

300

Solve by Elimination

(-3,0)

300

For the equation of an exponential function., which variable represents the growth factor?

y=A\cdotb^x

b

300
What is the common factor between the two terms?

8,12

4

400

Simplify using Laws of Exponents:(-2w4)(5w)

-10w5

400

Simplify using Laws of Exponents: (p5)10

p50

400

Solve the following by Elimination



(-4,-1)

400

The sum of two numbers is 40, and the difference between the two numbers is 8. What are the two numbers?

(24,16)

400

For the following exponential equation of an exponential function, what is the starting amount and what is the growth factor?

y=(0.5)\cdot(1/5)^x

A = 0.5

b=1/5

400

Factor out the greatest common factor

(8x+12)

4(2x+3)

500

Simplify using Laws of Exponents: (7a5b6)4

2401a20b24

500

Simplify using Laws of Exponents: (-3a5b12)5

-243a25b60

500

Two friends went to an ice cream shop. One friend orders 7 scoops of ice cream with 2 toppings, and pays $18. The other friend orders 7 scoops of ice cream with 3 toppings, and pays $20. How much does each scoop of ice cream cost, and how much is it per topping?

(2,2)

Each scoop cost $2, and each topping costs $2.

500

A graphic designer charges $25 as a booking fee and $25 per hour. Another graphic designer charges no booking fee and $50 an hour. After how many hours will both cost the same? And for how much?

1 hour, $50

500

The population of birds at the rain forest is 100. The population doubles every year. What is the starting amount and what is the growth factor? 

A = 100

b=2

500

Find the GCF and factor it out of the expression

3x+6y+12z+15

GCF=3

3(x+2y+4z+5)

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