1. Solving Multi-Step Equations
An alligator hatchling 6 inches long grows about 12 inches per year. The expression 12a + 6 represents the length in inches of an alligator that is "a" years old.
·What does the number 6 represent in the expression 12a + 6?
·What does the 12a represent in the expression 12a + 6?
·What does this expression assume about the growth of an alligator over its lifetime?
·How old is the alligator if it is 11 feet 6 inches long?
7m - 17 = a - 6 = = 3r t/ = 14

3. Two-Step
Grade:
Subject:
Algebra
Date:

4. 1
5q - 13 = 27

5. 2
4g - 2 = -6

6. 3
18 = 5p + 3

7. 4
9 = 1 + m/7

8. 5
(3/2)a - 8 = 11

9. ·(p - 15)/9 = p = -39
·(k - 12)/5 = k = 32
·(n + 1)/ -2 = n = - 31

10. binomial-Proportion
Grade:
Subject:
Algebra
Date:

11. 1
20 = (n - 3)/8

12. 2
(b + 4)/ -2 = - 17

13. Allen is buying a pair of water skis that are on sale for 2/3 of the original price. After he uses a $25 gift certificate, the total cost before taxes is $115. What was the original price of the skis? Write an equation for the problem and solve.
(2/3)p - 25 = 115
p = $210

14. Susan had a $10 coupon for the purchase of any item
Susan had a $10 coupon for the purchase of any item. She bought a coat that was on sale for ½ its original price. After using the coupon, Susan paid $125 for the coat before taxes. What was the original price of the coat? Write and solve and equation.
(½)p - 10 = 125
p = $270

15. Alex belongs to the Student Music Club and bought a discount card for $ After one year, Alex has spent $ Each CD cost $3.95. Write and solve an equation to find how many CDs Alex bought during the year.
Total Cost = Cost of CDs + Cost of Discount Card
63.40 = 3.95C
Solve.
11 = C, or Alex bought 11 CDs during the year.

16. Sara paid $15. 95 to become a member at a gym
Sara paid $15.95 to become a member at a gym. She then paid a monthly membership fee. Her total cost for 12 months was $ How much was the monthly fee?
Total Cost = Monthly Fee + Membership Fee
= 12 F
Solve.
F = 60, or Sara paid $60 each month.

17. Lynda has 12 records in her collection
Lynda has 12 records in her collection. She adds the same number of new records to her collection each month. After 7 months Lynda has 26 records. How many records does Lynda add each month?
Total Number = Number Added each month + Original Number
26 = 7R + 12
Solve.
R = 2, or Lynda adds 2 new records each month.

18. Jan joined the dining club at the local cafe for a fee of $29. 95
Jan joined the dining club at the local cafe for a fee of $ Being a member entitles her to save $2.50 every time she buys lunch. Jan calculates that she has saved a total of $12.55 so far by joining the club. Writes and solve an equation to find how many times Jan has eaten lunch at the cafe.
Total Savings = Savings each time - Original Fee
= 2.50x
Solve.
x = 17, or Jan has eaten lunch 17 times at the cafe.

19. Application
Grade:
Subject:
Algebra
Date:

20. 1
Twelve decreased by twice a number equals Write and solve an equation. A 23 B 35 C 92 D
17.5

21. 2
The English alphabet contains 2 more than twice as many letters as the Hawaiian alphabet. How many letters are there in the Hawaiian alphabet?

22. Simplify Before Solving
Justify each step
6x x = 13
6x - 8x + 3 = 13 Commutative
(6x - 8x) + 3 = 13 Associative
x(6-8) + 3 = 13 Distributive
-2x + 3 = 13
Sub. Prop of Equality
-2x = 10
/-2 /-2 Div. Prop of Equality
x = -5

23. Simplify Before Solving
Justify each step
2a a = 8
a = (-5/6)

24. Simplify Before Solving
Justify each step
-8 - 2d + 2 = 4
d = -5

25. Simplify Before Solving
Justify each step
4x x = 40
x = 8

26. Simplify Before Solving
Justify each step
8x x = -15
x = 2

27. Simplify Before Solving
Justify each step
4 = 2x x
x = (1/4)

28. Write and Solve an equation for the following problem.
Find three consecutive even integers whose sum is -42.
Let n = the least even integer
Then n + 2 = the next greater even integer and n + 4 = the greatest of the three even integers.
n + (n + 2) + (n + 4) = - 42
n = -16
-16, -14, -12

29. Consecutive Integers
Grade:
Subject:
Algebra
Date:

30. Find three consecutive integers with a sum of 421
Find three consecutive integers with a sum of 42 A
12,13,14 B
13,14,15 C
14,15,16

31. Find three consecutive even integers with a sum of -12
-2, 0, 2 B
-4, -2, 0 C
-6, -4, -2

32. 3
What is the greatest integer for the following:
Find three consecutive odd integers whose sum is 57.

33. Simplifying Using the Distributive Property
Math Is Everywhere!.mp3
Simplifying Using the Distributive Property
9 = 6 - (x + 2)
9 = 6 + (-1)x + (-1)2
9 = x + -2
9 = (6-2) + -1x
9 = 4 - x
5 = -x
-5 = x

34. Simplifying Using the Distributive Property
4(x + 1) + 2( x - 7) = 50
4x + 4(1) + 2x + 2(-7) = 50
4x x = 50
(4x + 2x) + (4 - 14) = 50
6x - 10 = 50
x = 10

35. Simplifying Using the Distributive Property

36. Simplifying Using the Distributive Property
10y - (4y + 8) = -20
y = -2

37. Distributive Property
Grade:
Subject:
Algebra
Date:

38. 1
5(2y - 7) + 8(y + 6) = 31

39. 2
4x - 3(6 + x) - 1 = 2

40. 3
17 - (4 - 6z) + 4 = 42

41. 4
42r - 2(13 - 5r) + 7 = 85

42. 5
3(x - 2) - 5(2x + 1) = 3

43. Attachments
Math Is Everywhere!.mp3