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3-1 Problem-Solving Strategy:

Eliminate Possibilities

Objective: Solve problems by

eliminating possibilities.

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5)

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5) 9

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5)

2. n = (4)(-5)

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5)

2. n = (4)(-5) -20

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5)

2. n = (4)(-5)3. -8 -2 = m

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5)

2. n = (4)(-5)3. -8 -2 = m 4

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5)

2. n = (4)(-5)3. -8 -2 = m

Simplify each expression.

4. 8t – 3t + 2t

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5)

2. n = (4)(-5)3. -8 -2 = m

Simplify each expression.

4. 8t – 3t + 2t 7t 

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5)

2. n = (4)(-5)3. -8 -2 = m

Simplify each expression.

4. 8t – 3t + 2t

5. – 9k –  (-9k)

8/13/2019 Pre Algebra Lesson 3 1

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5-Minute Check

Solve each equation.

1. x = 4 –  (-5)

2. n = (4)(-5)3. -8 -2 = m

Simplify each expression.

4. 8t – 3t + 2t

5. – 9k –  (-9k) 0

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3-1 Problem-Solving Strategy:

Eliminate Possibilities

Example

Gene is going to his friend Jan’s family reunion. He wants to learn

the names of Jan’s aunt, uncle, cousin, sister, and grandfather. Use

the following clues to help Jan match the names to the correctrelative.

Sue played racquetball Tuesday

Marla is an only child.

Jan’s sister does not like racquet sports. 

John’s son is Jan’s father. Tom and Marla are married.

Explore You must match each relative with his or her name by

examining the given clues

8/13/2019 Pre Algebra Lesson 3 1

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3-1 Problem-Solving Strategy:

Eliminate Possibilities

Example

Gene is going to his friend Jan’s family reunion. He wants to learn

the names of Jan’s aunt, uncle, cousin, sister, and grandfather. Use

the following clues to help Jan match the names to the correctrelative.

Sue played racquetball Tuesday

Marla is an only child.

Jan’s sister does not like racquet sports. 

John’s son is Jan’s father. Tom and Marla are married.

Plan Make a chart to organize the clues.

8/13/2019 Pre Algebra Lesson 3 1

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3-1 Problem-Solving Strategy:

Eliminate Possibilities

Example

Gene is going to his friend Jan’s family reunion. He wants to learn

the names of Jan’s aunt, uncle, cousin, sister, and grandfather. Use

the following clues to help Jan match the names to the correctrelative.

Sue played racquetball Tuesday

Marla is an only child.

Jan’s sister does not like racquet sports. 

John’s son is Jan’s 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.

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3-1 Problem-Solving Strategy:

Eliminate Possibilities

Example

Gene is going to his friend Jan’s family reunion. He wants to learn

the names of Jan’s aunt, uncle, cousin, sister, and grandfather. Use

the following clues to help Jan match the names to the correctrelative.

Sue played racquetball Tuesday

Marla is an only child.

Jan’s sister does not like racquet sports. 

John’s son is Jan’s 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.

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3-1 Problem-Solving Strategy:

Eliminate Possibilities

Sue Tom Marla Sara John

Sister

AuntGrandfather

Cousin

uncle

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3-1 Problem-Solving Strategy:

Eliminate Possibilities

Sue Tom Marla Sara John

Sister X X X O X

Aunt X X O X XGrandfather X X X X O

Cousin O X X X X

uncle X O X X X

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3-1 Problem-Solving Strategy:

Eliminate Possibilities

Integration

Choose the correct number from the following list:

54, 2, 1, 24, 126, 27, 73, 108

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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.

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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 

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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.