Solving Equations
Absolute Value Equations
Proportional Reasoning
Linear Inequalities
Absolute Value Inequalities
100

-15 - a =7

a = -22

100

|n-3| = 1

n=4, n=2

100

8/x = 2/5

x=20

100

Solve, graph, and put in interval notation

-8n < -72

n > 9

(9, inf)

100

Solve, graph, and put in set-builder notation

|m+1|>11

m>10 or m<-12

{m| m>10 U m<-12}

200

-72 = 8x

x = -9

200

|m/3|=1

m=3, m=-3

200

11/(n-8) = 8/(n+7)

n=-47

200

Solve, graph, and put in interval notation

40 >= 2n


20 >= n

(-inf, 20)

200

Solve, graph, and put in set-builder notation.

|10p-5|<95

p<10 and p>-9

{p| -9<p<10}

300

4 = 6x -2x

x = 1

300

|3+3b|=12

b=3, b=-5

300

A quality control inspector has found that 3.2% of the garments produced at Standard Garments contain a defect.  If Standard Garments produces 4117 garments in one day, how many of those garments are expected to have a defect?

x=132.74

132 Garments

300

6 < x+3 <10

Solve, graph, and put in interval notation

3<x and x<7

3<x<7

(3, 7)

300

Solve, graph, and put in set-builder notation.

-6 + |3n+3| < 21

n<8 and n>-10

{n| -10<n<8}

400

2(-11p+9) = -10(11-p)

p=4

400

2|-2x+9|=10

x=2, x=7

400

A basketball rim 10 feet high casts a shadow 15 feet long.  At the same time, a nearby building casts a shadow that is 54 feet long.  How tall is the building?

x = 36 feet

400

Solve, graph, and put in interval notation.

0 < n/3 <4

0<n and n<12

0<n<12

(0, 12)

400

Solve, graph, and put into set-builder notation.

2|x+10| < -6

No Solution

500

-2(-12v-3)+21 = 3(9+8v)

 Infinite Solutions

500

Solve, graph, and put in interval notation.

r-8<-9 or r+6>1

Infinite Solutions

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