Word Problems 1
Inequalities/Solutions
Word Problems 2
Solve Inequalities
Graph Inequalities
100

Attendance at the Math World Museum more than tripled from Monday to Saturday. On Monday there were 186 people. At least how many people attended the Math World Museum on Saturday?

x represents the number of people on Saturday

What is more than 558 people OR p > 558?


100

x is at most 58

What is x ≤ 58

100
The height of a person should not be less than 5 ft to get a police job.
What is h ≥ 5
100
x+20>45
x>25
100

Graph g ≥ 12

It should be a closed circle ad shaded to the right

200

George spent $678 to make wreaths for this holiday season. At least how many wreaths must he sell at $15 each in order to make a profit?


w represents the number of wreaths.

What is at least 46 wreaths OR w ≥ 46?


200
Is 4 a solution?

(2/3)n+4<5n^2

Yes, (20/3 is less than 80)

200
The price of a ball should not be more than $2
What is p ≤ 2
200

f/3<27

f<81

200

Graph

6≤j

Rewrite the problem j ≥ 6

It should be a closed circle and shaded to the right

300

Adriana counted 8 fewer birds on Tuesday than on Thursday. She counted at most 32 birds on Thursday. At most, how many birds did she count on Tuesday?


b represents the number of birds on Tuesday

What is at most 24 birds OR b ≤ 24?

There were at most 24 birds on Tuesday.


300

Is 1/2 a solution to the following inequality?

3n - 1 > 8 + 4n

1/2>10

No, 1/2 is not a solution.

300

The class must raise at least $50 to go on a field trip. They have collected $10. Write an inequality to the amount of money, m, the class needs to raise.

m+10≥50

What is m ≥ 40

The class needs to raise at least $40.

300
3x - 7 < 5
x<4
300

Graph 

19<8+n

n>11

It should be an open circle and shaded to the right

400

You save $6 per week toward a new skateboard. You already have $28 saved and want to have at least $100. What inequality would help you find the number of weeks to save? How many weeks?


x represents the number of weeks

What is 6w+28≥100.

 x≥12. 

You need to save for at least 12 weeks.


400

Is 8 a solution to this inequality?

5n≥100.6-17

40≥83.6

400

The elevator has a weight limit 1,200 pounds. Write an inequality to represent this amount

w represents the weight

What is w ≤ 1,200


400

5/4x+18>63

x>36

400

Graph:

2(q - 6) < 24

q<18

It should be an open circle and shaded to the left

500

The camera you want costs at most $300. If you have $75 saved already and plan to save $10 per month. Which inequality would you use to find the number of months you'd need to save? How many months.


m represents the number of months

m less than or equal to 22.5. 

You need at most 23 months to buy the camera.


500

Is 5 a solution to the following inequality?

 2/5x^2−3>−2

7>-2

Yes, 5 is a solution. 

500

A taxi charges a flat rate of $1.35, plus an additional $0.65 per mile. If Erica has at most $15 to spend on the cab ride, how far could she travel? Write and solve an inequality to determine the number of m miles.  

1.35+0.65m ≤ 15

m≤21 

Erica can go at most 21 miles

500
2x+12<4+24
x<8
500

Graph:

25 + 50d> 675

d>13

open circle and shaded to the right