CHAPTER 3 REVIEW
SECTIONS 1-5
QUESTIONS FROM 3-1
• Is each number a solution of the inequality?
3x – 7 > -1
a)
2
b)
0
c)
5
QUESTIONS FROM 3-1
• Write an inequality for each graph.
QUESTIONS FROM 3-1
• Define a variable and write an inequality to model
each situation.
A bus can seat at most 48 students.
In many states, you must be at least 16 years old to
obtain a driver’s license.
QUESTIONS FROM 3-2
• Solve and graph the solution.
x–3<5
y + 5 < -7
QUESTIONS FROM 3-3
• Solve and graph the solution.
x
< -1
2
2
 n2
3
QUESTIONS FROM 3-3
• Solve and graph the solution.
-5z > 25
QUESTIONS FROM 3-4
• Solve each inequality.
4d + 7 < 23
5 – 3n > -4
QUESTIONS FROM 3-4
• Solve each inequality.
2(j-4) > -6
2k – 3 < 5k + 9
3(2 + r) > 15 – 2r
QUESTIONS FROM 3-5
• Solve and graph each solution.
-4 < r – 5 < -1
4v + 3 < -5 or -2v + 7 < 1
QUESTIONS FROM 3-5
• Write a compound inequality that represents each
situation.
All real numbers that are at least 2 and at most 9.
All real numbers that are at most -3 or at least 5.
WORD PROBLEM PRACTICE
• Your brother has $2000 saved for a vacation. His
airplane ticket is $637. Write and solve an inequality
to find how much he can spend for everything else.
WORD PROBLEM PRACTICE
• The science club charges $4.50 per car at their car
wash. Write and solve an inequality to find how
many cars they have to wash to earn at least $300.
WORD PROBLEM PRACTICE
• The perimeter of an isosceles triangle is at most 27
cm. One side is 8 cm long. Find the possible lengths
of the two congruent sides.
QUESTIONS FROM 3-6
1.
|p – 4 | = 21
*STEPS to solve an absolute value equation:
•Isolate the Absolute Value
•Rewrite the absolute value
equation as two separate
equations, one positive and the
other negative
2.
2 |x| = 18
•Solve each equation separately
•After solving, substitute your
answers back into original equation
to verify that you solutions are valid
3.
|2p + 5| = 11
QUESTIONS FROM 3-6
*STEPS to solve an absolute value INEQUALITY:
|x| ≥ 4
•Isolate the Absolute Value
•Rewrite the absolute value equation as
two separate equations, one positive
and the other negative
•FLIP THE SIGN FOR THE NEGATIVE CASE!
•Solve each equation separately
•After solving, substitute your answers
back into original equation to verify that
you solutions are valid
|2p + 5| >11