31 ProblemSolving Strategy: Eliminate Possibilities

1
3-1 Problem-Solving Strategy Eliminate
Possibilities

• Objective Solve problems by eliminating
  possibilities.

2
5-Minute Check

• Solve each equation.
• x 4 (-5)

3
5-Minute Check

• Solve each equation.
• x 4 (-5) 9

4
5-Minute Check

• Solve each equation.
• x 4 (-5)
• n (4)(-5)

5
5-Minute Check

• Solve each equation.
• x 4 (-5)
• n (4)(-5) -20

6
5-Minute Check

• Solve each equation.
• x 4 (-5)
• n (4)(-5)
• -8 -2 m

7
5-Minute Check

• Solve each equation.
• x 4 (-5)
• n (4)(-5)
• -8 -2 m 4

8
5-Minute Check

• Solve each equation.
• x 4 (-5)
• n (4)(-5)
• -8 -2 m
• Simplify each expression.
• 4. 8t 3t 2t

9
5-Minute Check

• Solve each equation.
• x 4 (-5)
• n (4)(-5)
• -8 -2 m
• Simplify each expression.
• 4. 8t 3t 2t 7t

10
5-Minute Check

• Solve each equation.
• x 4 (-5)
• n (4)(-5)
• -8 -2 m
• Simplify each expression.
• 4. 8t 3t 2t
• 5. 9k (-9k)

11
5-Minute Check

• Solve each equation.
• x 4 (-5)
• n (4)(-5)
• -8 -2 m
• Simplify each expression.
• 4. 8t 3t 2t
• 5. 9k (-9k) 0

12
3-1 Problem-Solving Strategy Eliminate
Possibilities

• Example
• Gene is going to his friend Jans family reunion.
  He wants to learn the names of Jans aunt, uncle,
  cousin, sister, and grandfather. Use the
  following clues to help Jan match the names to
  the correct relative.
• Sue played racquetball Tuesday
• Marla is an only child.
• Jans sister does not like racquet sports.
• Johns son is Jans father.
• Tom and Marla are married.
• Explore

You must match each relative with his or her name
by examining the given clues
13
3-1 Problem-Solving Strategy Eliminate
Possibilities

• Example
• Gene is going to his friend Jans family reunion.
  He wants to learn the names of Jans aunt, uncle,
  cousin, sister, and grandfather. Use the
  following clues to help Jan match the names to
  the correct relative.
• Sue played racquetball Tuesday
• Marla is an only child.
• Jans sister does not like racquet sports.
• Johns son is Jans father.
• Tom and Marla are married.
• Plan

Make a chart to organize the clues.
14
3-1 Problem-Solving Strategy Eliminate
Possibilities

• Example
• Gene is going to his friend Jans family reunion.
  He wants to learn the names of Jans aunt, uncle,
  cousin, sister, and grandfather. Use the
  following clues to help Jan match the names to
  the correct relative.
• Sue played racquetball Tuesday
• Marla is an only child.
• Jans sister does not like racquet sports.
• Johns son is Jans father.
• Tom and Marla are married.
• Solve

Set up a chart with the names as the first row
and the relative labels as th first column.
15
3-1 Problem-Solving Strategy Eliminate
Possibilities

• Example
• Gene is going to his friend Jans family reunion.
  He wants to learn the names of Jans aunt, uncle,
  cousin, sister, and grandfather. Use the
  following clues to help Jan match the names to
  the correct relative.
• Sue played racquetball Tuesday
• Marla is an only child.
• Jans sister does not like racquet sports.
• Johns son is Jans father.
• Tom and Marla are married.
• Solve

Place an X in a box if you know from the clues
that a certain person cannot be a certain
relative. Place a circle when you know a name and
a relative.
16
3-1 Problem-Solving Strategy Eliminate
Possibilities
17
3-1 Problem-Solving Strategy Eliminate
Possibilities
18
3-1 Problem-Solving Strategy Eliminate
Possibilities
Integration Choose the correct number from the
following list 54, 2, 1, 24, 126, 27, 73, 108
19
3-1 Problem-Solving Strategy Eliminate
Possibilities
Integration Choose the correct number from the
following list 54, 2, 1, 24, 126, 27, 73, 108
The number is not a prime number.
20
3-1 Problem-Solving Strategy Eliminate
Possibilities
Integration Choose the correct number from the
following list 54, 2, 1, 24, 126, 27, 73, 108
The number is not a prime number. The number is
not divisible by 9.
21
3-1 Problem-Solving Strategy Eliminate
Possibilities
Integration Choose the correct number from the
following list 54, 2, 1, 24, 126, 27, 73, 108
The number is not a prime number. The number is
not divisible by 9. The number is greater than
10.
22
3-1 Problem-Solving Strategy Eliminate
Possibilities
Integration Choose the correct number from the
following list 54, 2, 1, 24, 126, 27, 73, 108
The number is not a prime number. The number is
not divisible by 9. The number is greater than
10. The number is
23
3-1 Problem-Solving Strategy Eliminate
Possibilities
Integration Choose the correct number from the
following list 54, 2, 1, 24, 126, 27, 73, 108
The number is not a prime number. The number is
not divisible by 9. The number is greater than
10. The number is 24.