Linear Equations and Inequalities

Writing Equations

100

Three times a number is 15

3x = 15

200

Four times a number minus eight equals twenty eight.

4x - 8 = 28

300

Two added to six times a number is 32

2 + 6x = 32

400

Minus three times a number plus two equals ten.

-3x + 2 = 10

500

A number divided by ten plus six equals one hundred and six.

x/10 + 6 = 106

One Step and Multi-step Equations

100

x - 5 = 14

x = 19

200

x + 8 = 29

x = 21

300

3x + 1 = 10

x = 3

400

3x - 12 = 0

x = 4

500

2/5x + 10 = 30

x = 50

Inequalities

100

x - 3 < 5

(-oo,8)

200

x + 5 > 17

(12,oo)

300

2x + 1/2 > 0

(-1/4,oo)

400

5x - 20 < 5

(-oo,5)

500

1/3x + 9 < 0

(-oo,-27)

Absolute Values

100

|3| =

3 and -3

200

|x| = 0

x = 0

300

|x + 3| = 6

x = 3 or -9

400

|5x - 5| = 10

x = 3 or -1

500

|3x - 1| = 8

x = 3 or -7/3

Absolute Values and Inequalities

100

|x| < 1

(-1,1)

200

|x| > 3

(-oo,-3)U(3,oo)

300

|2x + 1| > 5

(-oo,-3)U(2,oo)

400

|2x+3| > 4

(-oo,-7/2)U(1/2,oo)

500

|3x + 5| > 30

(-oo,-35/3)U(25/3,oo)