Presentation on theme: "Solving Multi-Step Equations"— Presentation transcript:
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
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 = 115p = $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 = 125p = $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 Card63.40 = 3.95CSolve.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 FSolve.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 Number26 = 7R + 12Solve.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= 2.50xSolve.x = 17, or Jan has eaten lunch 17 times at the cafe.
20 1Twelve decreased by twice a number equals Write and solve an equation.A23B35C92D17.5
21 2The 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 step6x x = 136x - 8x + 3 = 13 Commutative(6x - 8x) + 3 = 13 Associativex(6-8) + 3 = 13 Distributive-2x + 3 = 13Sub. Prop of Equality-2x = 10/-2 /-2 Div. Prop of Equalityx = -5
23 Simplify Before Solving Justify each step2a a = 8a = (-5/6)
24 Simplify Before Solving Justify each step-8 - 2d + 2 = 4d = -5
25 Simplify Before Solving Justify each step4x x = 40x = 8
26 Simplify Before Solving Justify each step8x x = -15x = 2
27 Simplify Before Solving Justify each step4 = 2x xx = (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 integerThen n + 2 = the next greater even integer and n + 4 = the greatest of the three even integers.n + (n + 2) + (n + 4) = - 42n = -16-16, -14, -12