0005_hsm11a1_te_03tr.indd
CHAPTER 3 HOMEWORK PACKET
Teacher: Ms. Harmon
Subject: Algebra 1
This packet must be completed and returned before or on the day of the Chapter 1 Test. ALL WORK MUST BE SHOWN WHEN POSSIBLE. ANSWERS WITH NO WORK WILL NOT BE ACCEPTED. If extra space is needed please staple papers to this packet and turn everything in at the same time.
NAME: ________________________________________
Grade: ____________ /60
Homework: Section 1 (10 points)
Write an inequality that represents each verbal expression.
1. a is greater than 4. 2. c is less than or equal to –2.
Determine whether each number is a solution of the given inequality.
3. 2x + 4 < 20
a. 2
b. 10
Graph each inequality.
4. m < 1 5. n ≥ 5
Write an inequality for each graph.
6. 7.
Define a variable and write an inequality to model each situation.
8. No more than 10 people may use the treadmills at any time in the gym.
9. To train for a marathon, a runner decides that she must run at least 12 miles
each day.
Homework: Section 2 (12 points)
Solve each inequality. Graph and check your solutions. (2 points each)
1. y – 3 < 0 2. 4 ≥ c + 2
3. [pic] 4. –g – 2 + 2g > 4
5. 6. 7 ≥ c + 14
Homework: Section 3 (12 points)
Solve each inequality. Graph and check your solution. (2 points each)
1. 2.
3. 4.
5. 14 ≥ 7c 6.
Homework: Section 4 (10 points)
Solve each inequality. Check your solutions.
1. 3m + 12 < 24 2. 4w – 3 ≥ 33
3. –2 + 2p ≤ –14 4. 12 > 60 – 6t
5. 4(k + 2) – 3k ≤ 12 6. 3(2c – 2) – 2c > 0
Solve each inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers, write all real numbers.
** HINT: ALL REALS NEEDS 0 and 0; NO SOLUTION different #s on each side**
7. 8w – 5 > 2(4w – 3)
8. –3r + 15 ≥ 4(r – 2)
Set up the inequality then solve it.
9. A family earns at most $2500 a month. The family’s monthly expenses are $2000. Write and solve an inequality to find the possible amounts of money the family could save each month.
Homework: Section 6 (16 points)
Write a compound inequality that represents each phrase.
1. All real numbers that are less than –3 or greater than or equal to 5.
2. A certain recipe calls for a cake to bake between 25 minutes and 30 minutes, inclusive.
Solve each compound inequality. Graph your solutions. (2pts each)
3. 5 < k – 2 < 11 4. 5 – m < 4 or 7m > 35
5. 6b – 1 ≤ 213 and 2b + 1 ≥ 11
Write a compound inequality that each graph could represent.
6. 7.
Write each interval as an inequality. Then graph the solutions. (2pts each)
8. (–2, 3] 9. [–2, 2]
10. (– ∞, –1] or (1, ∞)
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