Solving Multi-Step Equations An alligator hatchling 6 inches long grows about 12 inches per year....

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 = 60 2a - 6 = 4 8 = 3r + 7t/8 + 21 = 14

Two-Step

Grade:Subject:Algebra

Date:

1 5q - 13 = 27

2 4g - 2 = -6

3 18 = 5p + 3

4 9 = 1 + m/7

5 (3/2)a - 8 = 11

·(p - 15)/9 = - 6p = -39

·(k - 12)/5 = 4k = 32

·(n + 1)/ -2 = 15n = - 31

binomial-Proportion


Date:

1 20 = (n - 3)/8

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

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

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

Alex belongs to the Student Music Club and bought a discount card for $19.95. After one year, Alex has spent $63.40. 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 + 19.95

Solve.

11 = C, or Alex bought 11 CDs during the year.

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 $735.95. How much was the monthly fee?

Total Cost = Monthly Fee + Membership Fee

735.95 = 12 F + 15.95

Solve.

F = 60, or Sara paid $60 each month.

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.

Jan joined the dining club at the local cafe for a fee of $29.95. 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

12.55 = 2.50x - 29.95

Solve.

x = 17, or Jan has eaten lunch 17 times at the cafe.

Application


Date:

1 Twelve decreased by twice a number equals - 34. Write and solve an equation.

A 23

B 35

C 92

D 17.5

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?

Simplify Before SolvingJustify each step

6x + 3 - 8x = 136x - 8x + 3 = 13 Commutative(6x - 8x) + 3 = 13 Associativex(6-8) + 3 = 13 Distributive-2x + 3 = 13

- 3 -3 Sub. Prop of Equality-2x = 10/-2 /-2 Div. Prop of Equality

x = -5


2a + 3 - 8a = 8

a = (-5/6)


-8 - 2d + 2 = 4

d = -5


4x - 8 + 2x = 40

x = 8


8x - 21 - 5x = -15

x = 2


4 = 2x + 5 - 6x

x = (1/4)

Write and Solve an equation for the following problem.Find three consecutive even integers whose sum is -42.

Let n = the least even integerThen 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

Consecutive Integers


Date:

1 Find three consecutive integers with a sum of 42

A 12,13,14

B 13,14,15

C 14,15,16

2 Find three consecutive even integers with a sum of -12

A -2, 0, 2

B -4, -2, 0

C -6, -4, -2

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

Simplifying Using the Distributive Property

9 = 6 - (x + 2)

9 = 6 + (-1)x + (-1)29 = 6 + -1x + -2

9 = (6-2) + -1x

9 = 4 - x

5 = -x

-5 = x

Math Is Everywhere!.mp3


4(x + 1) + 2( x - 7) = 50

4x + 4(1) + 2x + 2(-7) = 504x + 4 + 2x + -14 = 50

(4x + 2x) + (4 - 14) = 50

6x - 10 = 50

x = 10


5(p - 2) = -15

p = -1


10y - (4y + 8) = -20

y = -2

Distributive Property


Date:

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

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

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

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

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

Attachments

Math Is Everywhere!.mp3

Solving Multi-Step Equations An alligator hatchling 6 inches long grows about 12 inches per year....

Documents

Transcript of Solving Multi-Step Equations An alligator hatchling 6 inches long grows about 12 inches per year....