Algebra 2 Review

Sequences

100

Write the sequence formula for the following set of numbers: 

3, 6, 9, 12, 15...

a_n=3+3(n-1)

200

What is the first term using the following sequence formula?

a_n=7+2(n-1)

7

300

Find the 20^th term of the sequence

a_n=4+5(n-1)

99

400

Find the 15^th term of the sequence:

a_n=2+4(n-1)

58

500

Write a sequence formula for the following set of numbers

18, 27, 36, 45...

a_n=18+9(n-1)

Lines

100

Identify the slope and y-intercept in the following equation 

y=2x+18

slope: 2

y-intercept 18

200

Find the slope of the line that contains these two points

(2,4) (6, 12)

2

300

Write an equation for a line with a slope of 4 that goes through the point (0,5)

y=4x+5

400

Write an equation for a line with a slope of 3 that goes  through the point (3,4)

y=3x-5

500

Write an equation of a line that goes through (2,6) and (-2,-6)

y=3x

Transformations

100

What is the center of the circle with the equation: 

(x-2)²+(y+3)²=81

Center: (2,-3)

200

In what ways is the equation being transformed

y=(x+6)²-2

To the left 6 and down 2

300

Write an equation for y=x² after being moved to the left 3 and up 10

y=(x+3)²+10

400

In what ways is the equation being transformed

y=-x²+8

flipped upside down and moved 8 up

500

In what ways is the equation being transformed

y=-10(x+3)²-6

flipped upside down, skinnier by a factor of 10, moved to the left 3 and down 6

Solving Systems

100

Solve the system for (x,y)

y=6x+3

y=3x+6

(3,21)

200

Does the point (0,4) solve the system:

8=2y+x

2y=x-8

No

300

Does the point (0,0) solve the system:

3=3x+4y

8x+9y=2

No

400

Solve the system for (x,y)

6x+2y=8

3x+2y=12

(-1.33, 8)

500

Solve the system for (x,y)

8x+8y=8

4x=-4y+4

infinite solutions