Inequalities and Literal Equations Test Review

Graph the Inequality

100

Graph the inequality: 15 > x

(Graph open circle on 15 shaded left)

200

Graph the inequality: 2 < x

(Graph open circle on 2 shaded right)

300

Graph the inequality: 5 is greater than or equal to x

(Graph closed circle on 5 shaded left)

400

Graph the inequality: -x/3 > 5

x < -15

500

Graph the inequality:   -5x - 3 > 2

x < 1

Solve and Graph the Inequality

100

Solve and graph: x + 8 > 11

x > 3 (Graph open circle on 3 shaded right)

200

Solve and graph: -4 + x < 7

x < 11 (Graph open circle on 11 shaded left)

300

Solve and graph: 6 - 4x < 10

x > 1 

400

Solve and Graph: 3 - x/3 > -4

x < 21 

500

Solve and graph: 7(1 + 8m) > 175

m > 3 

Absolut Value

100

Solve for x:

|x| = 5

x = 5 or x = -5

200

Solve for x:   | x - 5 | = 10

x = 15  or  x = -5

300

|2x + 4| = -36

No Solution

400

Solve for x:    |2x + 5| - 6 = 9

x = 5 or x = -10 

500

Solve for x:    4| 3x - 7| + 10 = 26

x = 11/3. or x = 1

Literal Equations

100

Solve for a: a + b = c

a = c - b

200

Solve for t:  d = rt

t = d/r

300

Solve for n: pV = nRT

n = pV/RT

400

Solve for k:     A = 2ck

k = A/2c

500

Solve for x: 7x - y = 14

x = (14+y)/7= 2 + y/7

Compound Inequalities (Algebra I only)

100

Solve and graph: -1 < 9 + n < 17

-10 < n < 8

200

Solve and graph:

       x+ 8 > 9 and 9 + x/7 < 1

x >or equal to 1 and x > -56

300

-50 < 7k + 6 < -8

-8<k<-2

400

Solve and graph: 11 < 8r - 5 >6r - 1 

Hint: Separate to make 2 problems

r > 2 or  r > 2

500

Solve and graph: 6 + 7m < 6m - 5 or 3m - 7 < 5 +6m

m < -11 or m > -4