1. Part One: Vocabulary Review

2. What is a Constant? A constant is a fixed value, a number on its own, whose value does not change. What is the constant in the expressions below? Example: 4x + 2 In this expression 2 is a constant. click to reveal Example: 11m - 7 In this expression -7 is a constant. click to reveal

3. What is a Variable? A variable is any letter or symbol that represents a changeable or unknown value. What is the variable? Example: 4x + 2 In this expression x is a variable. click to reveal

4. What is a Coefficient? A coefficient is the number multiplied by the variable. It is located in front of the variable. What is the coefficient in the expression below? Example: 4x + 2 In this expression 4 is a coefficient. click to reveal

5. Example 1: x + 4 is the same as 1x + 4 - x + 4 is the same as -1x + 4 Example 2: If a variable contains no visible coefficient, the coefficient is 1.

6. Identifying Algebraic Expressions and Equations

7. What does an algebraic expression contain? An expressions consists of 3 items ·numbers ·variables ·operations Click to reveal

8. Each term in an algebraic expression is separated by a plus (+) or minus ( - ) sign. 15w is an algebraic expression with one term. 7m - 12 is an algebraic expression with two terms. -4x + 3y - 20 is an algebraic expression with three terms.

9. Let's take a look and decide if the examples are expressions or not. 5 + n What is the constant?______________ What is the variable?______________ What is the coefficient?______________ Is it an algebraic expression?______________ If yes, how many terms does it have?______________ Write your answers on a white board or in your notebook BEFORE checking your answers on the next slide!

10. Let's take a look and decide if the examples are expressions or not. 5 + n What is the constant?5 What is the variable?n What is the coefficient?1 Is it an algebraic expression?Yes! If yes, how many terms does it have?2

11. 3b - 4c -7 What is/are the constants?______________ What is/are the variables?______________ What is/are the coefficients?______________ Is it an algebraic expression?______________ If yes, how many terms does it have?______________ Write your answers on a white board or in your notebook BEFORE checking your answers on the next slide!

12. 3b - 4c -7 What is/are the constants?-7 What is/are the variables?b and c What is/are the coefficients?3 and 4 Is it an algebraic expression?YES! If yes, how many terms does it have?three

13. p What is the constant?______________ What is the variable?______________ What is the coefficient?______________ Is it an algebraic expression?______________ If yes, how many terms does it have?______________ Let's try a challenge. Write your answers on a white board or in your notebook BEFORE checking your answers on the next slide!

14. p What is the constant?none What is the variable?p What is the coefficient?1 Is it an algebraic expression?YES! If yes, how many terms does it have?one Let's try a challenge.

15. Translating Between Words and Expressions

16. With a partner – or on a white board – brainstorm all of the words you can think of that mean addition

17. With a partner – or on a white board – brainstorm all of the words you can think of that mean subtraction

18. Sort each as either an addition word or subtraction word. Check with a classmate or the teacher if you are unsure. Addition Subtraction plus sum addend greater than minus difference less than how much more how much less take away

19. Sort each as either a multiplication word or division word. Check with a classmate or the teacher if you are unsure! Multiplication Division product factor quotient times of divisor share dividend divide

20. Be aware of the phrase "less than". For example: “3 more than eight times a number” can be written as: either 8n + 3 or 3 + 8n (both are correct) BUT… “three less than eight times a number” Can ONLY be written as 8n - 3 It is NOT the same as 3 – 8n Confused? Think about it this way: Mr. Baxter has $25. Ms. Foley has $6 less than Mr. Baxter. She has $25 - $6 = $19. This is NOT the same as $6 - $25

21. As a rule of thumb, if you see the words "than" or "from" it means you have to reverse the order of the two items on either side of the word. Examples: 8 less than b means b – 8 3 more than x means x + 3 (although 3 + x is okay) x less than 2 means 2 – x click to reveal

22. Three times j Eight divided by j j less than 7 5 more than j 4 less than j TRANSLATE THE WORDS INTO AN ALGEBRAIC EXPRESSION Write your answers on a white board or in your notebook BEFORE checking your answers on the next slide!

23. Three times j3j Eight divided by j8/j j less than 77 – j 5 more than jj + 5 4 less than jj - 4 TRANSLATE THE WORDS INTO AN ALGEBRAIC EXPRESSION

24. Seventy-one plus c Write your answers on a white board or in your notebook BEFORE checking your answers on the next slide! Twenty-four less than d The sum of twenty-three and m Four times the difference of eight and j The product of seven and w, divided by 12 The square of the sum of six and p

25. 71+cSeventy-one plus c Write your answers on a white board or in your notebook BEFORE checking your answers on the next slide! Twenty-four less than dd - 24 The sum of twenty-three and m23 + m Four times the difference of eight and j 4(8-j) The product of seven and w, divided by 12 7w 12 The square of the sum of six and p(6+p) 2

26. Evaluating Expressions

27. Steps for Evaluating an Expression: 1. Write the expression 2.Substitute the values given for the variables (use parentheses!) 3. Simplify the Expression Remember Order of Operations! Write - Substitute - Simplify click to reveal

28. 1.Solve in your journal. 2.Show all steps. (Write. Substitute. Simplify.) 3.Check your work on the next slide! What is the value of 4n + 6 2 when n = 3 ?

29. How you show your work is just as important as the answer What is the value of 4n + 6 2 when n = 3 ? 4n + 6 2 Write! = 4(3) + 6 2 Substitute. = 4(3) + 36Simplify. = 12 + 36 = 48

30. 1.Solve in your journal. 2.Show all steps. (Write. Substitute. Simplify.) 3.Check your work on the next slide! Evaluate (4n + 6) 2 for n = 1

31. (4n + 6) 2 = (4(1) + 6) 2 = (4 + 6) 2 = (10) 2 = 100

32. 4x + 2x 3 1.Solve in your journal. 2.Show all steps. (Write. Substitute. Simplify.) 3.Check your work on the next slide! What is the value of the expression below when x = 2 ?

33. 4x + 2x 3 = 4(2) + 2(2) 3 = 4(2) + 2(8) = 8 + 16 = 24 What is the value of the expression below when x = 2 ?