properties and operations of real numbers
compound inequalities
formulas and problem solving
absolute value inequalities
equations of lines(graphing)
100

Which numbers in this set are also a part of the set of whole numbers?

{2, sqrt of 7, -4, 19, 0, 2/3, sqrt of 25}

{2, 19, 0, 5}

100

solve the compound inequality, write in interval notation and graph

-15<3x-21<15

-15<3x-21<15

+21    +21 +21

6<3x<36

__ __  __

3   3     3

2<x<18

100

Zoe's rating is 1237 after winning 5 games and losing 3. What was the average rating of her opponents? use the formula R=r+400(W-L)/n

1237=r+400(5-3)/8

1237=r+400(2)/4

1237=r+800/8

1237=r+100

-100      -100

1137=r 

Her opponents average rating was 1137

100

|4x+3|-9>6

|4x+3|-9>6

          +9 +9

|4x+3|>15

4x+3>15 or 4x+3<-15

    -3  -3           -3    -3

4x>12 or 4x<-18

__  __     __    __

4     4       4      4

x>3 or x<-9/2

100

use the slope-intercept form to graph the equation

y=5/6x+5

state the slope and the y-intercept

(0,5)=y-intercept

m=5/6

200

true or false

4.82 is a rational number

true

200

solve the compound inequality, write in interval notation, and graph

x+1>7 and 3x-1>5

x+1>7 and 3x-1>5

  -1  -1         +1 +1

x>6 and 3x>6

            __  __

             3    3

x>6 and x>2

200

solve for L

P=2L+2W 

P=2L+2W

-2W   -2W

P-2W=2L

____   __

   2       2

P-2W/2=L

200

|2x+4|-6>0

|2x+4|-6>0

         +6 +6

|2x+4|>6

2x+4>6 or 2x+4<-6

    -4 -4           -4  -4

2x>2 or 2x<-10

__ __    __   __

2    2      2     2

x>1 or x<-5

200

use the formula m=y2-y1/x2-x1 to find the slope of a line that passes through (4,-5)and(-3,-9)

-5-(-9)

______

4-(-3)

=4/7

300

true or false

0 is a natural number

false

300

-3x-2>-8 or 5x>0

-3x-2>-8 or 5x>0

    +2  +2

-3x>-6 or 5x>0

__   __     __  __

-3    -3      5    5

x<2 or x>0 

all real numbers

300

solve for t

R=G+K/t

(t)R=G+K/t(t)

Rt=G+K

__   ___

R       R

t=G+K/R

300

|4-2x|+5<3

no solution

300

find an equation of the line through (2,3);parellel to x+4y=-4

y=-1/4x+7/2

400

true or false 

3.141592654 is a rational number

false

400

12x-2<4 and 3x+3>9

12x-2<4 and 3x+3>9

    +2 +2           -3 -3

12x<6 and 3x>6

__   __      __  __

12   12       3    3

x<1/2 and x>6     

no solution

400

solve for y

3x-2y=8

3x-2y=8

-3x    -3x

-2y=-3x+8

__    __  __

-2    -2   -2

y=3/2-4

400

-2|5x+3|-8>4

no solution

400

find an equation of a line and graph

3x-4y=8

y=3/4x-2

500

12(n+12)=3(48+4n)

12(n+12)=3(48+4n)

12n+144=144+12n

-12n               -12n

144=144

all real numbers

500

-9<x+5/-3<-6

-9<x+5/-3<-6

multiply each term by -3

27>x+5>18

-5      -5   -5

22>x>13

500

The allowable blood loss L is the amount of blood a patient can lose before a transfusion is necessary. this can be estimated by L=E(Hi-Hf)/Hi 

Where E is the estimated blood volume, in milliliters, Hi is the initial hemoglobin level, in grams per deciliter, and Hf  is the lowest acceptable final hemoglobin level, in grams per deciliter.

What is the allowable blood loss for a patient with an estimated blood volume of 3200 mL, an initial hemoglobin of 13 g/dL, and a final hemoglobin of 7 g/dL?

L=3200(13-7)/13

L=3200(6)/13

L=19200/13

L=1476.923

The allowable blood loss is 1476.923 mL. 

500

|2+4x|+8>1

always true

500

use the intercept method to graph

3y+2x=6

(3,0) and (0,2)

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