Solving Inequalities

Solving Inequalities

Word Problems

Word Problems

100

4x + 2 > 18

x > 4

100

10 - 3x < 28

x > 6

100

Five less than three times a number is greater than 13. Write the given inequality.

3x-5>13

100

Elisa won 40 lollipops playing basketball at the school fair.

She gave two to every student in her math class. She has at least 7 lollipops left.

Write a statement for lollipops where x is the number of students in class.

40-7x>=7

200

7 - 3x < 10

x > -1

200

18 > 7x + 2x + 9

x > 1

200

Amanda rented a bike from Shawna's Bikes. They charged her $2 per hour, plus a $10 fee. Amanda paid less than $27. Write an inequality to represent the situation.

2x+10<27

200

More than 450 students went on a field trip. Ten buses were filled and 5 more students traveled in a car.

Write a statement to find the expected number of students on a bus.

10x+5>450

300

2(x + 4) + x < 32

x < 8

300

8x -15 < -16 + 8x

No Solution

300

An online music club has a one-time registration fee of $13.95 and charges $.49 to buy each song. Emma has at most $50.00 to join the club and buy songs.

Write an inequality to represent this situation.

13.95+.49x<=50

300

A student had $45 when she went to the mall. She spent $9 on a pair of earrings. Then she wants to buy some CDs that cost $12 each.

Write an inequality to for how many CDs she can buy.

9+12x<=45

400

-3x - 4(x - 11) > 65

x < -3

400

6 -4(6x + 7) > 122

x < -6

400

Jaquan begins his kindergarten year being able to spell 10 words. He is going to learn to spell 2 new words every day. Write an inequality that can be used to determine how many days, d, it takes Jaquan to be able to spell at least 75 words.

10+2x>=75

400

Bill spent less than $26 on a magazine and five composition books. The magazine cost $4.

Write a cost statement with ** n **composition books.

5n+4<26

500

-5 + 2(x - 2) - 5x < -3x + 21

All Real Numbers

500

4(6 + 3x) + 13 > 127 - 3x

x > 6

500

Kate has $45 to spend at the fair. She spends $20 on admission and $15 on snacks. She wants to play a game that costs $.65 per game. Write an inequality to find the maximum number of times, x, Kate can play the game.

20+15+0.65x<=45

500

People must be at least sixteen years old in order to get their driverâ€™s license.

Write an inequality to represent this situation.

x>=16