1-6 Variables and Equations

Objective: Identify and solve open sentences.

5-Minute CheckSimplify each expression.1. 4q + q

5-Minute CheckSimplify each expression.1. 4q + q 5q

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 3

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 3 10m + 3

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 16

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 16 25a + 16

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 164. 9(r + 7) + 12r

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 164. 9(r + 7) + 12r 21r + 63

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 164. 9(r + 7) + 12r5. 6(x + y) + 4(2x + 3y)

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 164. 9(r + 7) + 12r5. 6(x + y) + 4(2x + 3y) 14x + 18y

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 164. 9(r + 7) + 12r5. 6(x + y) + 4(2x + 3y)6. A two-day pass for Colonial Williamsburg costs $24

and admission to the Governor’s Palace is an additional $5.a. Write two expressions for the cost of taking a family of three to Williamsburg if each person goes to the palace also.

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 164. 9(r + 7) + 12r5. 6(x + y) + 4(2x + 3y)6. A two-day pass for Colonial Williamsburg costs $24

and admission to the Governor’s Palace is an additional $5.a. Write two expressions for the cost of taking a family of three to Williamsburg if each person goes to the palace also. 3(24 + 5); 3(24) + 3(5)

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 164. 9(r + 7) + 12r5. 6(x + y) + 4(2x + 3y)6. A two-day pass for Colonial Williamsburg costs $24

and admission to the Governor’s Palace is an additional $5.a. Write two expressions for the cost of taking a family of three to Williamsburg if each person goes to the palace also.b. Find the total cost.

5-Minute CheckSimplify each expression.1. 4q + q2. 4m + 6m + 33. 24a + a + 164. 9(r + 7) + 12r5. 6(x + y) + 4(2x + 3y)6. A two-day pass for Colonial Williamsburg costs $24

and admission to the Governor’s Palace is an additional $5.a. Write two expressions for the cost of taking a family of three to Williamsburg if each person goes to the palace also.b. Find the total cost. $87

Variables and EquationsExample:Samuel Morse invented the language of dots and dashes that carries messages on telegraph machines. The wireless radiotelegraph was invented in 1901. Since then, Morse Code has been used to allow ships to communicate with each other and with service agencies on land. The U.S. Coast Guard converted its communications to more modern teletype machines and ceased listening for Morse Code messages in 1995. If the Coast Guard began listening when the technology became available, for how many years did they listen for Morse Code messages?This equation can be solved mentally.

Variables and EquationsExample:Samuel Morse invented the language of dots and dashes that carries messages on telegraph machines. The wireless radiotelegraph was invented in 1901. Since then, Morse Code has been used to allow ships to communicate with each other and with service agencies on land. The U.S. Coast Guard converted its communications to more modern teletype machines and ceased listening for Morse Code messages in 1995. If the Coast Guard began listening when the technology became available, for how many years did they listen for Morse Code messages?This equation can be solved mentally.1901 + y = 1995

Variables and EquationsExample:Samuel Morse invented the language of dots and dashes that carries messages on telegraph machines. The wireless radiotelegraph was invented in 1901. Since then, Morse Code has been used to allow ships to communicate with each other and with service agencies on land. The U.S. Coast Guard converted its communications to more modern teletype machines and ceased listening for Morse Code messages in 1995. If the Coast Guard began listening when the technology became available, for how many years did they listen for Morse Code messages?This equation can be solved mentally.1901 + y = 19951901 + 94 = 1995 Replace y with 94 to make a true statement.

Variables and EquationsExample:Samuel Morse invented the language of dots and dashes that carries messages on telegraph machines. The wireless radiotelegraph was invented in 1901. Since then, Morse Code has been used to allow ships to communicate with each other and with service agencies on land. The U.S. Coast Guard converted its communications to more modern teletype machines and ceased listening for Morse Code messages in 1995. If the Coast Guard began listening when the technology became available, for how many years did they listen for Morse Code messages?This equation can be solved mentally.1901 + y = 19951901 + 94 = 1995 Replace y with 94 to make a true statement.

y = 94 The solution is 94.

Variables and EquationsExample:Samuel Morse invented the language of dots and dashes that carries messages on telegraph machines. The wireless radiotelegraph was invented in 1901. Since then, Morse Code has been used to allow ships to communicate with each other and with service agencies on land. The U.S. Coast Guard converted its communications to more modern teletype machines and ceased listening for Morse Code messages in 1995. If the Coast Guard began listening when the technology became available, for how many years did they listen for Morse Code messages?This equation can be solved mentally.1901 + y = 19951901 + 94 = 1995 Replace y with 94 to make a true statement.

y = 94 The solution is 94.The US Coast Guard listened for Morse Code messages for 94 years.

The first class that graduated from this building which we know as Animas High School, graduated in 1976. If the current year is 2005, how many years have students been graduating from this building?

The first class that graduated from this building which we know as Animas High School, graduated in 1976. If the current year is 2005, how many years have students been graduating from this building?

This can be set up in two different ways. What are they?

The first class that graduated from this building which we know as Animas High School, graduated in 1976. If the current year is 2005, how many years have students been graduating from this building?

This can be set up in two different ways. What are they?1. 1976 + x = 2005

The first class that graduated from this building which we know as Animas High School, graduated in 1976. If the current year is 2005, how many years have students been graduating from this building?

This can be set up in two different ways. What are they?1. 1976 + x = 20052. 2005 – 1976 = x

What is an equation?

Write an equation that is always true.

Write an equation that is always false.

Write an equation where the number on your card is the answer to the

equation.Example: If your number is 93, your

equation might be 47 + y = 140,

y = 93.