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**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

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Two-Step Grade: Subject: Algebra Date:

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1 5q - 13 = 27

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2 4g - 2 = -6

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3 18 = 5p + 3

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4 9 = 1 + m/7

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5 (3/2)a - 8 = 11

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

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binomial-Proportion Grade: Subject: Algebra Date:

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1 20 = (n - 3)/8

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

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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

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**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

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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.

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**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.

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**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.

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**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.

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Application Grade: Subject: Algebra Date:

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

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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?

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**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

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**Simplify Before Solving**

Justify each step 2a a = 8 a = (-5/6)

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**Simplify Before Solving**

Justify each step -8 - 2d + 2 = 4 d = -5

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**Simplify Before Solving**

Justify each step 4x x = 40 x = 8

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**Simplify Before Solving**

Justify each step 8x x = -15 x = 2

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**Simplify Before Solving**

Justify each step 4 = 2x x x = (1/4)

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**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

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Consecutive Integers Grade: Subject: Algebra Date:

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**Find three consecutive integers with a sum of 42**

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

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

-2, 0, 2 B -4, -2, 0 C -6, -4, -2

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

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**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

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**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

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**Simplifying Using the Distributive Property**

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**Simplifying Using the Distributive Property**

10y - (4y + 8) = -20 y = -2

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**Distributive Property**

Grade: Subject: Algebra Date:

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

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

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

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

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

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Attachments Math Is Everywhere!.mp3

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