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Chapter 1

Chapter 1. Students will make Connections to Algebra. 1.1 Students will evaluate variable expressions. Vocabulary. Variable: A letter used to represent a range of numbers. 1.1 Students will evaluate variable expressions. Vocabulary. Values: The numbers (constants).

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Chapter 1

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  1. Chapter 1 Students will make Connections to Algebra

  2. 1.1 Students will evaluate variable expressions.Vocabulary • Variable: • A letter used to represent a range of numbers

  3. 1.1 Students will evaluate variable expressions.Vocabulary • Values: • The numbers (constants)

  4. 1.1 Students will evaluate variable expressions.Vocabulary • Variable expression: • Variables, constants, and your operations

  5. 1.1 Students will evaluate variable expressions.Vocabulary • Numerical expression: • Constants and operations (just numbers)

  6. 1.1 Variables in Algebra • Evaluate: • Simplify: • Distribute • Combine Like Terms • PEMDAS

  7. Example 1: Students will Describe the Variable Expression In this algebra class, we use parentheses “(3)(2)” or number and variable “3x” to demonstrate multiplication so that there is no confusion with decimal points or anything else!

  8. Example 2: p. 2Students will evaluate the variable expression. • Evaluate the variable expression when x = 5 5

  9. p. 2 Checkpoint: Evaluate the variable expression when x = 4.

  10. Example 3: p. 2Evaluate rt to find Distance Find the distance d traveled in 30 minutes by a remote control car going an average speed of 10 miles per hour. Use the formula: distance equals rate r multiplied by time t. Solution d = rtWrite formula = ()() Substitute for r and t. = = Simplify Answer The distance traveled by the remote control car was miles. 30 10 60 300 60 5 5

  11. Checkpoint p. 3Complete the following exercise. • Using a variable expression, find the distance traveled in 20 minutes by a remote control car moving at an average speed of 9 miles per hour. d = rtWrite formula = ()() Substitute for r and t. = Simplify Answer The distance traveled by the remote control car was miles. 20 9 60 180 60 3

  12. Example 4: p. 3Find the Perimeter The perimeter P of a triangle is equal to the sum of the lengths of its sides: Solution • Write the formula P = a + b + c • Substitute 6 for a, = + + 11 for b, and 13 for c. • Simplify the formula = Answer The triangle has a perimeter of meters. a = 6m P = a + b + c c = 13 m Find the perimeter of the triangle in meters b = 11m 6 13 11 30 30

  13. Checkpoint p. 3Complete the following exercise. 6. Find the perimeter of a triangle with sides 7 centimeters, 12 centimeters, and 17 centimeters long. P = a + b + c = + + = The triangle has a perimeter of centimeters. 7 17 12 36 36

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