Presentation on theme: "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."— Presentation transcript:
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 = 602a - 6 = 48 = 3r + 7t/8 + 21 = 14
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.
Simplify Before Solving J ustify each step 2a + 3 - 8a = 8 a = (-5/6)
Simplify Before Solving J ustify each step -8 - 2d + 2 = 4 d = -5
Simplify Before Solving J ustify each step 4x - 8 + 2x = 40 x = 8
Simplify Before Solving J ustify each step 8x - 21 - 5x = -15 x = 2
Simplify Before Solving J ustify each step 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 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