Inequalities
Independent vs. Dependent
Graphing Inequalities
Solving 1 Step Equations
Solving 2 Step Equations
100

the cost, c, is less than $100

c < 100

100

tickets sold, t

money made, m

Which is dependent and which is independent?

money made, m, is the dependent variable

tickets sold, t, is the independent variable

100

How would you graph the inequality x > 1?

put an open circle at 1 and draw a ray to the right

100

y = x - 6

if x = 15

what is y =  ?

y = 9

100

y = 6 x + 1

if x = 2

what is y =  ?

y = 13

200

the length of the driveway, L, is longer than 7 feet

L > 7

200

the number of hours worked, h

the amount of money earned, m

Which is dependent and which is independent?

money earned, m, is the dependent variable

hours worked, h, is the independent variable

200

How would you graph the inequality x ≥ 11 ?

put a closed circle at 11 and draw a ray to the right

200

y = X × 4

if X = 6

what is y =  ?

y = 24

200

y = 2 x + 5

if x = 6

what is y =  ?

y = 17

300

the fewest number of minutes, m, the student should study is 35 minutes

m ≥ 35

300

the amount of money spent, s

the amount of money remaining, r

Which is dependent and which is independent?

amount of money remaining, r, is the dependent variable

amount of money spent, s, is the independent variable

300

How would you graph the inequality x ≤ 4?

put a closed circle at 4 and draw a ray to the left

300

y = x ÷ 3

if x = 21

what is y =  ?

y = 7

300

y = 11 x + 7

if x = 6

what is y =  ?

y = 73

400

the distance, d, is at least 10 miles

d ≥ 10

400

the distance traveled, d

the speed of the car driving, s

Which is dependent and which is independent?

distance traveled, d, is the dependent variable

speed of the car driving, s, is the independent variable

400

How would you graph the inequality 7 < x ?


put an open circle at 7 and draw a ray to the right

400

d = 60 x t

if t = 5

what is d =  ?

d = 300

400

a = 5 b - 1

if b = 3

what is a =  ?

a = 14

500

up to 8 people, p, went to the party

p ≤ 8

500

the number of calories burned, c

the number of miles ran, m

Which is dependent and which is independent?

calories burned, c, is the dependent variable

miles ran, m, is the independent variable

500

How would you graph the inequality 3 ≥ x ?

put a closed circle at 3 and dray a ray to the left
500

y = x ÷ 15

if x = 135

what is y =  ?

y = 9

500

y = 1/2 x - 3

if x = 20

what is y = ?

y = 7