Ch. 5 Review

One and Two Step Inequalities

100

s + 2 ≤ 12

s ≤ 10

200

b - 8 < -12

b < -4

300

-3x > 3

x < -1

400

2 + 4v ≤ 10

v ≤ 2

500

-5x + 7 ≤ 22

x ≥ -3

Multi Step Inequalities

100

12b – 3b + 5 ≥ −31

b ≥ -4

200

9 (2 + 3x) < 72

x < 2

300

–52 < 2(-3x – 2)

x < 8

400

-6x − 10 ≤ -x + 10

x ≥ -4

500

−3(x − 10) + 18 ≥ x − 24

x ≤ 18

Compound Inequalities

100

12 < 4x < 48

3 < x < 12

200

c + 16 ≤ 17  or  c – 6 > 10

c ≤ 1 or c > 16

300

11 < m + 14 ≤ 12

-3 < m ≤ -2

400

23 ≤ -2x + 5 < 31

-9 ≥ x > -13

500

-5x + 11 > 19  or  3x - 1 > 11

x < -6  or  x > 4 

Translating Verbal Phrases

100

10 times a number x is at least 50. 

10x ≥ 50

200

The sum of a number n and 12 is less than the product of n and 4. 

n + 12 < 4n

300

all real numbers that are less than - 2 or greater than 14

x < -2 or x > 14

400

8 times the sum of a number and 6 is no less than the number minus 12

8 (n + 5) ≥ n - 9

500

a number multiplied by 6 is at least 24 and at most 66

24 ≤ 6n ≤ 66

Word Problems

100

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that describes how many weeks can Keith withdraw money from his account and solve.

500 - 25x ≤ 200

Keith can withdraw money from his account for no more than 12 weeks. 

200

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. Write an inequality that represents how many miles can Katie travel without exceeding her budget and solve. 

1.75 + 0.65m ≤ 10

Katie can travel no more than 12.69 miles.

300

Each type of fish thrives in a specific range of temperatures. The optimum temperatures for sharks range from 18 degrees Celsius to 22 degrees Celsius. Write an inequality that represents the temperatures where sharks will NOT thrive. 

c < 18 or c > 22

400

A store is offering a $30 mail in rebate on all color printers. Luis is looking at different color printers that range in price from $175 to $260. Write a compound inequality that describes the amount Luis can expect to spend after the rebate. 

175 ≤ p + 30 ≤ 260

500

A cruise ship offers several types of rooms for guests. The exterior rooms cost at least $300 per night and the interior rooms cost at most $175 per night. Write a compound inequality that describes the amount a guest would pay per night on the cruise ship. 

x ≤ 175 or x ≥ 300