Mid Year Review

Unit 1

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

-4(-8p + 1) = -4 - 8p

p = 0

300

Solving Equations

6(6n - 2) = 8n - 40

n = -1

400

Solve: I=Prt for t

I/pr = t

500

Solve Ax + By = C for y

y= C-Ax/B

Absolute Value Equations

100

How many solutions can you have when solving absolute value equations?

Two or None

200

9+5|-5p+3| =14

p = {2/5, 4/5}

300

|8m-8| = 40

m = {-4, 6}

400

-5|4p+4| = -40

p = {-3, 1}

500

2|g-5|+7 = 13

g = {2, 8}

Inqualities

100

-3p + 1 < -11   OR   p + 4 < 6

(-oo,2)U(4,oo)

200

4(k + 1)> -68

(-18,oo)

300

-8-3(6 +x)<16

(-14,oo)

400

-3≤ 2x+3 <5

[-3, 1)

500

3x+14<-2(x+13) and 3x-1>5x-13

(-8,6)

Unit 3

100

Write an explicit formula for the following arithmetic sequence and find the 43rd term.

12, 14, 16, 18, ...

a(n) = 12 + (n-1)2

96

200

Write an explicit formula for the following geometric sequence and then find the tenth term. 

-3, 9, -27, ...

a(n)=−3⋅(−3)n−1a(n)=-3⋅(-3)n-1

59,049

300

Write an explicit formula for the following arithmetic sequence and find the 43rd term.

2, 13, 24, 35, ...

a(n) = 2 + (n-1)11

464

400

Write an explicit formula for the following geometric sequence and then find the tenth term. 

-3, -12, -48...

a(n)=−3⋅4(n−1)a(n)=-3⋅4(n-1)

−786,432

500

Is the following sequence arithmetic, geometric, or neither? Then find the next two terms.

1, -2, -5, -8, ....

Arithmetic; -11, -14

Unit 4/5

100

Find the slope

(6,5) & (5,4) 

Slope = 1

200

Write an equation in slope-intercept form for the following line.

(5, 2); slope = 2

y = 2x - 8

300

Find the slope

(1,1) & (6,10)

slope = 9/5

400

Write an equation in slope-intercept form for the following line.

(3, 7), slope 5

y = 5x - 8

500

Name the x and y intercepts from the following equation. Write as ordered pairs. 

3y - 2x = 9

x-intercept: (-4.5,0)

y-intercept: (0,3)