Algebra 1 2nd semester Final Exam Review

Properties of Exponents

100

3⁰

1

200

(3²)²

81

300

(-10p^-3)(2p⁹) 

-20p⁶

400

(-4xy³)²(x⁴y⁵)

16x⁶y¹¹

500

(x⁴y^-6/2x^-2y⁴)(-3x^-1y/6x^-3)

-1x⁸/4y⁹

Growth/Decay

100

Give the Growth Factor from the following Equation

y=5(1.5)^x

1.5

200

Give the Decay Factor from the following Equation

y=4(.85)^x

.85

300

Give the Growth Rate from the following equation

y=5(1.2)^x

20%

400

Give the decay rate from the following equation

y=7(.55)^x

45%

500

Give the equation for the following scenario.

In September, a 5th grade class started off with 10 mealworms, the population of the meal worms increased by 80%.  

y=10(1.8)^x

Parent Functions

100

Give the parent points for y=x²

x     y

-3    9

-2    4

-1    1

0     0

1     1

2     4

3     9

200

When drawing the table for y=3^x,  What input value do you always start with to find your first output value?

when x=0.  Y=1

300

What is the parent function from the transformed exponential equation.  

y=-2^x+1-1

y=2^x

400

Each day bacteria in a dish, doubles and you started with 100 bacteria.  What is the growth factor from the following information

doubles=2

500

Each day the bacteria triples and you started with 500 bacteria.  What is the growth rate from the following information?

200%

Factoring any method

100

Factor the following:  3x²+9x

3x(x+3)

200

Factor the following:

x²+4x+3

(x+1)(x+3)

300

x²-64

(x-8)(x+8)

400

x²+4x+6x+24

(x+4)(x+6)

500

5x²+26x+25

(5x+6)(x+4)

Miscellaneous Quadratics

100

Write the Quadratic Formula

x=-b +- sq. root (b²-4ac) all over 2a

200

Write the following equation in standard form, from vertex form:

y=(x-1)²+2

y=x²-2x+3

300

Find the zeros from the following quadratic function:

y=-16x²-48x

x=0, x=-3

400

A firework is launched from the ground.  How long does it take for the firework to reach its maximum height.

y=-16t²+256

t=4 sec

500

Find the vertex from the following standard form equation.

y=x²+4x-5

Vertex: (-2,-9)