Final Exam Review 1

Geometric Series

100

Determine if the sequence is geometric. If it is, find the common ratio and the explicit formula.

-2, -8, -32, -128, ...

Common Ratio: 4

Explicit formula: t(n)=-(1⁄2)4ⁿ  

200

Determine if the sequence is geometric. If it is, find the common ratio and the explicit formula.

-1, -2, -4, -8, ...

Common Ratio: 2

Explicit formula: t(n)=-(1⁄2)2ⁿ  

300

Determine if the sequence is geometric. If it is, find the common ratio and the explicit formula.

4, 6, 9, 13, ...

Not geometric

400

Determine if the sequence is geometric. If it is, find the common ratio and the explicit formula.

2, 12, 72, 432, ...

Common Ratio: 6

Explicit Formula: t(n)=(1⁄3)6ⁿ 

Inequalities

100

Draw a graph for the inequality

x>4

Exam Review Answer: C

200

Solve the inequality and graph its solution.

-5(2x+2)≥ -90

x≤ 8

300

Sketch the graph of the linear inequality.

y≥ 9x-5

Exam Review Answer: A

400

Sketch the solution to the system of inequalities.

y≤ -x+2

y<-x-3

Exam Review Answer: D

Linear Equations

100

Sketch the Graph of the line

y=-(3⁄ 2)x-3

Exam Review Answer: B

200

Sketch the graph of the line 

y=(1⁄ 2)x-1

Exam Review Answer: C

300

Write the slope-intercept form of the equation of the line through the point (-2,3) with slope=-4.

y=-4x-5

400

Find the slope of a line perpendicular to the line

y=(2⁄5)x+1

5⁄ 2

Absolute Value Equations

100

Solve the equation 

|v-9|=12

v=21 or v=-3

200

|r⁄6|=2

r=-12 or r=12

300

-7|-4+r|=-7

r= 3 or r=5

400

|-4+n|-6=7

n=17 or n=-9