Inequalities and Literal Equations

Single Inequalities

100

Solve the inequality:

-4v+2+5 > -1

v < 2

200

Solve the inequality:

-7(x-6) > 91

x < -7

300

Solve the inequality:

-2(-7p-7) > 84

p > 5

400

Solve the inequality:

3(1+4x)+7(7x+3)>24

x > 0

500

Solve the inequality:

-6(b-1)-3(b-7)>-27

b < 6

Literal Equations (Easy)

100

Solve for x:

x + b = r

x = r - b

200

Solve for a:

ma = n

a = n/m

300

Solve for w:

mw + b = x

w = (x - b)/m

400

Solve for x:

r = xf/t

x = rt/f

500

Solve for w:

v = -m + d/w

w = d/(v+m)

Compound Inequalities

100

Solve the compound inequality:

m-2 < -8 OR 8m > 8

m < -6 OR m > 1

200

Solve the compound inequality:

-3 < p/2 < 0

-6 < p < 0

300

Solve the compound inequality:

7v-5 > 65 OR -3v-2 > -2

v > 10 OR v < 0

400

Solve the compound inequality:

6 + 7m < 6m - 5 OR 3m - 7 < 5 + 6m

m < -11 OR m > -4

500

Solve the compound inequality: 

5(x-1) > -7x-5 OR 3x+5 < x-1

x > 0 OR x < -3

Literal Equations

100

Solve for c:

c/x = d+r

c = x(d+r)

200

Solve for x:

c/x = d-r

x = c/(d-r)

300

Solve for r:

a = (b+r)/(c-d)

r = a(c-d)-b

400

Solve for c:

a = (b+r)/(c+d)

c = ((b+r)/a) - d

500

Solve for q:

z = ((y + q) / (x + w)) - v

q = (z + v)(x + w) - y

Graphing Inequalities

100

Graph x< -3 OR x > 7

<------o                  o------>

<------|---------------|------>

         -3                  7

200

Graph x < -2 OR x > -1

<------o                  o------>

<------|---------------|------>

         -2                 -1

300

Graph x > 3 and x < 7

          o--------------o

<------|---------------|------>

          3                  7

400

Graph -10 < x < 14

          o---------------o

<------|---------------|------>

        -10                 14

500

Graph -4 < x and 2 > x

          o--------------o

<------|---------------|------>

         -4                  2