1. Translating Algebraic and Verbal Expressions

2. Warm Up Answer the following problems 1.(5+2-6) - (1-5+12) + (6-3+11)= 2.2(5-3) 2 + (15÷3x2) - (5+2 x 1-4)= Let a=5 b=7 c=-9 3.2a + (b-c) + a 2 = 4.a+c - (2 x a ÷ 5) + c 2 = 12/18/2015www.numberbender.com2 7 15 51 75

3. WRITING EXPRESSIONS AND EQUATIONS 12/18/2015www.numberbender.com3

4. Algebraic Expression ? represents a number. That number plus ten equal 14. How do we represent the number algebraically? 12/18/2015www.numberbender.com4

5. What You’ll Learn 12/18/2015www.numberbender.com5

6. Build Your Vocabulary numbers variables An algebraic expression contains numbers and variables along with +, -, x, and/or ÷. symbol A variable is a symbol used to represent an unknown number. numbers A numerical expression contains numbers along with +, -, x, and/or ÷. 12/18/2015www.numberbender.com6

7. DIFFERENCE is for SUBTRACTION. SUM is for ADDITION. PRODUCT is for MULTIPLICATION. QUOTIENT is for DIVISION. Build Your Vocabulary 12/18/2015www.numberbender.com7

8. ADDITION plus the sum of increased by more than added to The total ofSUBTRACTION minus the difference of decreased by less than fewer than subtracted from Other Terminologies 12/18/2015www.numberbender.com8

9. DIVISION divided by the quotient of the ratio of perMULTIPLICATION times the product of multiplied by at of Other Terminologies 12/18/2015www.numberbender.com9

10. Examples Write an algebraic expression for each verbal expression. 12/18/2015www.numberbender.com10 the sum of p and 12 the product of k and q

11. Your Turn Write an algebraic expression for each verbal expression. 12/18/2015www.numberbender.com11

12. Examples A python eats 4 pounds of meat each month. Write a numerical expression to represent the amount it eats in 5 months. Write an algebraic expression to represent the amount it eats in d months. 12/18/2015www.numberbender.com12 4 × 54(5) The numerical expression is 4 × 5 or 4(5). 4 × d4d The algebraic expression is 4 × d or 4d.

13. Examples Write a verbal expression for each algebraic expression. 12/18/2015www.numberbender.com13 37 + s 5 (b – 3) the sum of 37 and s. 37 increased by s. 5 times the difference of b and 3. 5 multiplied by the difference of b and 3.

14. Your Turn Write a verbal expression for each algebraic expression. 12/18/2015www.numberbender.com14 x ÷ 7 4 + (2n) x divided by 7 the sum of 4 and the product of 2 and n

15. What is an Equation? An equation is a mathematical sentence that contains an equals sign (=). Words are used to indicate the equals sign. An equation may contain numbers, variables, or algebraic expressions. 12/18/2015www.numberbender.com15 Equality equals is is equivalent to is equal to is the same as is as much as is identical to

16. Examples Write an expression for each sentence 12/18/2015www.numberbender.com16 t ÷ 8 = 20 3g – 7 = 31 The quotient of t and 8 equals 20. Seven less than three times g is 31. t/8 = 20

17. Your Turn Write an expression for each sentence 12/18/2015www.numberbender.com17 8d – 9 = 23 A number x increased by 12 is the same as 27. The product of 8 and d decreased by 9 equals 23. x + 12 = 27

18. Examples Write a sentence for each equation 12/18/2015www.numberbender.com 3z – 12 = 11 18 4 more than j is equal to 21 j + 4 = 21 The product of 3 and z decreased by 12 equals 11

19. Your Turn Write a sentence for each equation 12/18/2015www.numberbender.com 19 10 less than r is equal to 5 r – 10 = 5 The quotient of n and 3 increased by 6 equals 30.