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Course 1

Dive into the world of variables and expressions with this comprehensive lesson guide. This resource covers key concepts including identification and evaluation of algebraic expressions, the difference between variables and constants, and the methods for simplifying expressions. You'll find warm-up problems, various examples, and practical exercises that enhance understanding. Learn to efficiently manipulate mathematical expressions and grasp the foundational skills essential for success in algebra.

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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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