Lesson Quizzes
Preview
3-1
3-2
3-3
3-4
3-5
3-6
3-7
Graphing and Writing Inequalities
Solving Inequalities by Adding or Subtracting
Solving Inequalities by Multiplying or Dividing
Solving Two-Step and Multi-Step Inequalities
Solving Inequalities with Variables on Both Sides
Solving Compound Inequalities
Solving Absolute-Value Inequalities
3-1 Graphing and Writing Inequalities
Lesson Quiz: Part I
1. Describe the solutions of 7 < x + 4.
all real numbers greater than 3
2. Graph h ≥ –4.75
–5
–4.75
–4.5
Write the inequality shown by each graph.
3.
4.
x≥3
x < –5.5
3-1 Graphing and Writing Inequalities
Lesson Quiz: Part II
5. A cell phone plan offers free minutes for no more
than 250 minutes per month. Define a variable
and write an inequality for the possible number of
free minutes. Graph the solution.
Let m = number of minutes.
0 ≤ m ≤ 250
0
250
3-2 Solving Inequalities by Adding or Subtracting
Lesson Quiz: Part I
Solve each inequality and graph the solutions.
1. 13 < x + 7
x>6
2. –6 + h ≥ 15
h ≥ 21
3. 6.7 + y ≤ –2.1
y ≤ –8.8
3-2 Solving Inequalities by Adding or Subtracting
Lesson Quiz: Part II
4. A certain restaurant has room for 120
customers. On one night, there are 72
customers dining. Write and solve an
inequality to show how many more people
can eat at the restaurant.
x + 72 ≤ 120; x ≤ 48, where x is a natural
number
3-3 Solving Inequalities by Multiplying or Dividing
Lesson Quiz
Solve each inequality and graph the solutions.
1. 8x < –24 x < –3
2. –5x ≥ 30
x ≤ –6
3.
4.
x≥6
x > 20
5. A soccer coach plans to order more shirts for
her team. Each shirt costs $9.85. She has $77
left in her uniform budget. What are the
possible numbers of shirts she can buy?
0, 1, 2, 3, 4, 5, 6, or 7 shirts
3-4 Solving Two-Step and Multi-Step Inequalities
Lesson Quiz: Part I
Solve each inequality and graph the solutions.
1. 13 – 2x ≥ 21 x ≤ –4
2. –11 + 2 < 3p
p > –3
3. 23 < –2(3 – t)
t>7
4.
3-4 Solving Two-Step and Multi-Step Inequalities
Lesson Quiz: Part II
5. A video store has two movie rental plans. Plan
A includes a $25 membership fee plus $1.25 for
each movie rental. Plan B costs $40 for
unlimited movie rentals. For what number of
movie rentals is plan B less than plan A?
more than 12 movies
3-5 Solving Inequalities with Variables on Both Sides
Lesson Quiz: Part I
Solve each inequality and graph the solutions.
1. t < 5t + 24 t > –6
2. 5x – 9 ≤ 4.1x – 81 x ≤ –80
3. 4b + 4(1 – b) > b – 9
b < 13
3-5 Solving Inequalities with Variables on Both Sides
Lesson Quiz: Part II
4. Rick bought a photo printer and supplies for
$186.90, which will allow him to print photos
for $0.29 each. A photo store charges $0.55
to print each photo. How many photos must
Rick print before his total cost is less than
getting prints made at the photo store?
Rick must print more than 718 photos.
3-5 Solving Inequalities with Variables on Both Sides
Lesson Quiz: Part III
Solve each inequality.
5. 2y – 2 ≥ 2(y + 7)
ø
6. 2(–6r – 5) < –3(4r + 2)
all real numbers
3-6 Solving Compound Inequalities
Lesson Quiz: Part I
1. The target heart rate during exercise for a 15
year-old is between 154 and 174 beats per
minute inclusive. Write a compound inequality to
show the heart rates that are within the target
range. Graph the solutions.
154 ≤ h ≤ 174
3-6 Solving Compound Inequalities
Lesson Quiz: Part II
Solve each compound inequality and graph
the solutions.
2. 2 ≤ 2w + 4 ≤ 12
–1 ≤ w ≤ 4
3. 3 + r > −2 OR 3 + r < −7
r > –5 OR r < –10
3-6 Solving Compound Inequalities
Lesson Quiz: Part III
Write the compound inequality shown by
each graph.
4.
x < −7 OR x ≥ 0
5.
−2 ≤ a < 4
3-7 Solving Absolute-Value Inequalities
Lesson Quiz: Part I
Solve each inequality and graph the solutions.
1. 3|x| > 15
–10
–5
x < –5 or x > 5
0
2. |x + 3| + 1 < 3
–6
–5
–4
5
10
–5 < x < –1
–3
–2
–1
0
3. A number, n, is no more than 7 units away
from 5. Write and solve an inequality to show
the range of possible values for n.
|n– 5| ≤ 7; –2 ≤ n ≤ 12
3-7 Solving Absolute-Value Inequalities
Lesson Quiz: Part II
Solve each inequality.
4. |3x| + 1 < 1 ø
5. |x + 2| – 3 ≥ – 6
all real numbers