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Course 1

Course 1. 2-1. Variables and Expressions. Warm Up. Problem of the Day. Lesson Presentation. Course 1. 2-1. Variables and Expressions. Course 1. Warm Up Simplify. 1. 4 + 7  3  1 2. 87  15  5 3. 6(9 + 2) + 7 4. 35  7  5. 24. 84. 73. 25. 2-1. Variables and Expressions.

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Course 1

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  1. Course 1 2-1 Variables and Expressions Warm Up Problem of the Day Lesson Presentation Course 1

  2. 2-1 Variables and Expressions Course 1 Warm Up Simplify. 1. 4 + 7  3  1 2. 87  15  5 3. 6(9 + 2) + 7 4. 35  7  5 24 84 73 25

  3. 2-1 Variables and Expressions 4 31 52 Course 1 Problem of the Day How can the digits 1 through 5 be arranged in the boxes to make the greatest product? 

  4. 2-1 Variables and Expressions Course 1 Learn to identify and evaluate expressions.

  5. 2-1 Variables and Expressions Course 1 Vocabulary variable constant algebraic expression

  6. 2-1 Variables and Expressions Course 1 A variable is a letter or symbol that represents a quantity that can change. A constant is a quantity that does not change.

  7. 2-1 Variables and Expressions Algebraic Expressions NOT Algebraic Expressions Course 1 An algebraic expression contains one or more variables and may contain operation symbols. p 7 is an algebraic expression. 150 + y 85 ÷ 5 35 w + z 10 + 3 5 To evaluate an algebraic expression, substitute a number for the variable and then find the value.

  8. 2-1 Variables and Expressions y 5  y 16 80 y = 27; 5  = 27 y = 35; 5  = 35 Course 1 Additional Example 1A: Evaluating Algebraic Expressions Evaluate the expression to find the missing values in the table. Substitute for y in 5  y. y = 16; 5  16 = 80 27 135 135 35 175 175 The missing values are 135 and 175.

  9. 2-1 Variables and Expressions z z  5 + 4 20 8 45 60 Course 1 Additional Example 1B: Evaluating Algebraic Expressions Evaluate the expression to find the missing values in the table. Substitute for z in z  5 + 4. z = 20; 20  5 + 4 = 8 45 13 z = 45; __  5 + 4 = __ 13 16 60 z = 60; __  5 + 4 = __ 16 The missing values are 13 and 16.

  10. 2-1 Variables and Expressions x x  9 18 2 x = 36;  9 = 36 x = 54;  9 = 54 Course 1 Try This: Example 1A Evaluate the expression to find the missing values in the table. Substitute for x inx  9. x = 18; 18  9 = 2 4 36 4 6 54 6 The missing values are 4 and 6.

  11. 2-1 Variables and Expressions z 8 z + 2 7 58 9 11 Course 1 Try This: Example 1B Evaluate the expression to find the missing values in the table. Substitute for z in 8  z + 2. z = 7; 8  7 + 2 = 58 z = 9; 8  __+ 2 = __ 9 74 74 z = 11; 8  __ + 2 = __ 11 90 90 The missing values are 74 and 90.

  12. 2-1 Variables and Expressions Instead of . . . You can write . . . 35 y Writing Math When you are multiplying a number times a variable, the number is written first. Write “3x” not “x3.” Read 3x as “three x.” Course 1 Multiplication and division can be written without using the symbols  and . x 3 x 3 x(3) 3x 35 ÷ y

  13. 2-1 Variables and Expressions n 39 3 52 4 65 5 An expression is n  13, or . n 13 Course 1 Additional Example 2A: Finding an Expression Find an expression for the table. n  13 39  13 = 3 52  13 = 4 65  13 = 5

  14. 2-1 Variables and Expressions p 4 28 6 42 8 56 Course 1 Additional Example 2B: Finding an Expression Find an expression for the table. 7 • p 7 • 4 = 28 7 • 6 = 42 7 • 8 = 56 An expression is 7 • p,or 7p.

  15. 2-1 Variables and Expressions u 21 7 42 14 63 21 An expression is u  3, or . u 3 Course 1 Try This: Example 2A Find an expression for the table. u  3 21  3 = 7 42  3 = 14 63  3 = 21

  16. 2-1 Variables and Expressions n 5 20 8 32 11 44 Course 1 Try This: Example 2B Find an expression for the table. 4 • n 4 • 5 = 20 4 • 8 = 32 4 • 11 = 44 An expression is 4 • n,or 4n.

  17. 2-1 Variables and Expressions 5 x x 2 0 10 1 7 3 7 21 5 5 35 Course 1 Lesson Quiz: Part 1 1. Evaluate each expression to find the missing values in the tables. x – 5 2. Find an expression for the table. 7x

  18. 2-1 Variables and Expressions Course 1 Lesson Quiz: Part 2 3. Evaluate 8x for x = 5. 40 4. Evaluate 4x – 1 for x = 12. 47

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