Algebra Regent Review Game 1

Sequences and Series

100

What kind of sequence is here? 

2,4,6,8,10 

Arithmetic

200

What is the ninth term of this sequence? 

41, 50, 59, 68.... 

122

300

What is the common ratio of this sequence? 

1, 5, 25, 125, 625

r=5

400

What is the explicit formula for the following sequence? 

30, 27, 24, 21....

An= 30 -3(n-1) 

500

Find the 18th term for the sequence shown below:

2, 6, 18, 54... 

____

Solving Equations and Inequalities

100

Solve the following equation:

2(x-4)= 3x-10

x=2

200

Solve the following equation:

(x+18)² =144

x= -6

300

Solve the following inequality and give one possible solution for x. 

3(x-12)>36

x>24

400

Solve the following:

4x+6=5(3x+10)

x=-4

500

If f(x)= 3(x-10)+2, Find f(-9)

-55

Polynomial Functions

100

Simplify the following polynomial:

3x -4x³ +6y -2x +4y - 4x³

8x³ +1x +10y

200

Subtract (-3x² -10x -6) 

from (8x² -2x +3)

11x² +8x +9

300

Find the product of (4x-1)²

16x² -8x +1

400

Factor Completely: 25x⁴ -10x⁵ +50x

-5x( 5x³ -2x⁴ +10)

500

Factor the following polynomial: x² -10x -24

(x-12)( x -2) 

Domain and Range

100

The domain of a function includes which values? 

X values

200

The range of a function includes what values?

y values

300

What is the domain of the following function? 

y= |x| - 2

All real numbers

400

What is the range of the function y= x²-4x+1? 

y>1

500

What is the range of the function y= 2x- 1 over the domain of {-1<x<4}? 

(Hint! Use your calculator)

{-3<y<7}

(How to solve: Graph the line and see which y values the line touches)

Functions

100

Is the following a function?

(-1,2) (0,0) (1,2) (2, 3)

Yes

200

Is the following a function? 

x³+9x-14?

Yes

300

If g(x)= 3x -2 and h(x) = 4x-10, find the product of g(x) and h(x). 

12x² -38x + 20 

400

How many roots/zeros are in the following equation?

x²-2x+1=0 

2 Roots

500

What are the roots of the following function? 

f(x)= x^{2 _}6x +5

x= 5 and x= 1