Topic 1 & 2 Review

Solving Literal Equations

100

Rewrite the following equation to solve for h

A = (1/2)bh

h = 2A/b

200

Rewrite the following equation to solve for m:

y = mx+b

m = (y-b)/x

300

Rewrite the following equation to solve for x:

ax + by = c

x= c/a - by/a

400

Rewrite the following equation to solve for F

C= (5/9)(F-32)

F= (9/5)C+32

500

Rewrite the following equation for the surface area of a rectangular prism to solve for l.

S = 2lw + 2lh + 2wh

l = (S-2wh)/(2w+2h)

Solving Multistep Inequalities

100

Solve and graph the following inequality:

4p+5 < 29

p<6

200

Solve for x and graph the following inequality:

(2a - 4)/6 < 2

a < 8

300

Solve for x and graph the following inequality:

2(3x-5) ≤ 4x+6

x ≤ 8

400

Solve for x and graph the following inequality:

8x+8 ≥ -64 and -7- 8x ≥ -79

-9 ≤ x ≤ 9

500

Solve for x and graph the following inequality:

7x-5≥ 65 or -3x-2≥ -2

x ≥ 10 or x ≤ 0

Solving Multistep Equations

100

Solve for x:

7x+3  = 2x+13

x = 2

200

Solve for x:

-3x-32 = -2(5-4x)

x = -2

300

Solve for x:

-(-4x+7) = -2 + 4x

no solution

400

Solve for x:

-3x-4(4x-8) = 3(-8x-1)

x = -7

500

Solve for k:

8(k-6) + 58 = 2(4k + 5)

Infinitely many solutions

Proportion Problems

100

5   = x - 10

6      3x + 6

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

15x + 30 = 6x -60

9x = -90

x = -10

200

3   =  s - 2

8          24

72  = 8s - 16 

88 = 8s

11 = s

300

3   = b + 7

10       20

60 = 10b + 70

-10 = 10b

-1 = b

400

n + 8   =   n - 1

    5              2

5(n -1) = 2(n + 8)

5n - 5 = 2n + 16

3n = 21

n = 7

500

x + 2    =  2x - 10

    6                8

6(2x -10)  = 8(x + 2)

12x - 60   = 8x + 16

4x  = 76

x = 19

Solving Absolute Value Inequalities

100

Solve for x and graph the inequality:

|x - 6|=  5

x  = {1, 11}  

200

Solve for x and graph the following inequality:

|x+5| = 9 

x = {4, - 14}

300

Solve the following inequality for x and graph the solution:

5|2x + 8| + 3 = 33

 |2x + 8| = 6

2x + 8 = 6   & 2x + 8 = -6

     2x  = -2  & 2x = -14

      x = -1   &    x = -7

400

 | 2w - 4|   = 3

      6       

18 = | 2w - 4|

18 = 2w - 4

22 = 2w

11 = w

-18 = 2w - 4

-14 = 2w

-7 = w

w = { -7, 11}

500

7|4n + 8| - 6 = 106

 |4n + 8|  = 112 /7

4n + 8 = 16

4n = 8

n = 2

Or

4n + 8 = -16

4n = -24

n = -6

n = {2, -6}