Warm Up Solve, show steps, check. 1. 5 + x = 20 2. n - 13 = 84 3. 18 = y – 4 4. 21 = n + 3

1. Division Equations 2-8 Course 1 Warm Up Solve, show steps, check. 1.5 + x= 20 2.n - 13= 84 3. 18 = y – 4 4. 21 = n + 3 x= 15 n = 97 y = 22 n = 18 Course 1

2. 1. Solve the equation. Check your answer. 9a= 72

3. 2. Solve the equation. Check your answer. 27 = 3x

4. 3. The area of a rectangle is 56 square inches. Its length is 8 inches. What is its width?

5. 4. The area of a rectangle is 48 square inches. Its width is 8 inches. What is its length?

6. Division

7. 1 x x x= 3 = 3 = 3 6 6 6 Multiplication is the inverse of division. To solve an equation that contains multiplication, use multiplication to “undo” the division. Caution ! Is the same as

8. x = 5 7 5. Solve the equation. Check your answer.

9. p 13 = 6 6. Solve the equation. Check your answer.

10. x = 9 2 7. Solve the equation. Check your answer.

11. 1 = 72 4 8. Solve the equation. Check your answer. x

12. 9. At Elk Meadows Park an aspen tree is one-third the height of a pine tree. height of pine height of aspen = 3 The aspen tree is 14 feet tall. How tall is the pine tree?

13. 10. Jamie weighs one-half as much as her father. father’s weight Jamie’s weight = 2 Jamie weighs 95 pounds. How many pounds does her father weigh?

14. Translations

15. In word problems, you may need to translate words to math. Put together or combine Add Find how much more or less Subtract Put together groups of equal parts Multiply Separate into equal groups Divide

16. + Operation Numerical Expression Words Algebraic Expression Words 37 + 28 • 28 added to 37 • 37 plus 28 • the sum of 37 and 28 • 28 more than 37 There are several different ways to write math expressions with words. x+ 28 • 28 added to x • x plus 28 • the sum of x and 28 • 28 more thanx

17.  Operation Numerical Expression 90 — 12 • 12 subtracted from 90 • 90 minus 12 • the difference of 90 and 12 • 12 less than 90 • take away 12 from 90 Words Algebraic Expression k— 12 • 12 subtracted from k • 12minusk • the difference of k and 12 • take away 12 from k Words

18.  Operation Numerical Expression 8  48 or 8  48 or (8)(48) or 8(48)or(8)48 • 8 times 48 • 48 multiplied by 8 • the product of 8 and 48 Words Algebraic Expression 8 wor(8)(w)or8w • 8 timesw • w multiplied by 8 • the product of 8 and w • 8 groups of of w Words

19. 327 3 n 3  Operation 327 3 or Numerical Expression • 327 divided by 3 • the quotientof 327 and 3 Words n  3 or Algebraic Expression Words • ndivided by 3 • thequotient of n and 3

20. D. 12 c animations Write two phrases for each expression. B. 17 – 14 A. 16 __ b • 14 subtracted from 17 • 16 divided by b • 17 minus 14 • the quotient of 16 and b C. (75)(32) • 75 times 32 • 12 divided byc • the product of 75 and 32 • the quotient of 12 and c

21. animations Write each phrase as a numerical or algebraic expression. 1. 987 minus 12 987  12

22. animations Write each phrase as a numerical or algebraic expression. 2. x times 45 45 • x or 45x

23. animations Write each phrase as a numerical or algebraic expression. 3. 42 less than 79 79  42

24. y y 22 or 22 animations Write each phrase as a numerical or algebraic expression. 4. y divided by 22

25. animations 5.Let x represent the number of minutes Kristen works out in one week. Write an expression for the number of minutes she works out in 4 weeks. 4x

26. animations Write each phrase as a numerical or algebraic expression. 6.7 less than x x 7

27. animations Write each phrase as a numerical or algebraic expression. 7.The product of 12 and w 12w

28. animations Write a phrase for each expression. 8.17 + x x more than 17 or x added to 17

29. animations Write a phrase for each expression. 9.n  12 n divided by 12 or the quotient of n and 12