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McGraw Hill My Math Grade 5 Chapter 1 Lesson 9 Answer Key Problem-Solving Investigation: Use the Four-Step Plan

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 1 Lesson 9 Problem-Solving Investigation: Use the Four-Step Plan  will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 1 Lesson 9 Problem-Solving Investigation: Use the Four-Step Plan

1. Understand

What facts do you know?

2. Plan To solve this problem, I can work backwards.

3. Solve The smallest size is ___ centimeter. Victor spent 2 × ___ or ____. Subtract to find the remaining amount spent: $61 – ___ = ____ The largest size is 0.011 centimeter. Each package costs $7. Victor bought $21 ÷ $7, or ___ packages of the largest grain sandpaper.

4. Check Does your answer make sense? Explain.

What facts do you know? ________________ ________________

What do you need to find? ________________

2. Plan ________________ ________________

4. Check Is your answer reasonable ? Explain. ________________

Apply the Strategy

Solve each problem using the four-step plan.

Question 3. Mathematical PRACTICE Keep Trying You divide a number by 3, add 6, and then subtract 7. The result ¡s 4. What is the number? Answer: Let the number be ‘n’ Now divide the number(n) by 3. n/3 + 6 – 7 = 4 Now solve the equation. n/3 – 1 = 4 n – 3/3 = 4 n – 3 = 12 n = 12 + 3 n = 15 Now substitute n value in the equation. 15 – 3 = 12 12 = 12 LHS = RHS

Question 4. Mr Toshio lent out 11 rulers at the beginning of class, collected 4 rulers in the middle of class, and gave out 7 at the end of class. He had 18 at the end of the day. How many rulers did he start with? Answer: The number of rulers Mr Toshio lent out at the beginning of the class is 11 The number of rulers Mr Toshio collected in the middle of class = 4 The number of rulers he gave out at the end of the class = 7 The number of rulers he had at the end of the day was 18 The number of rulers he had at the beginning = X X = (11 – 4) + 18 + 7 X = 7 + 18 + 7 X = 32 Therefore, he started with 32 rulers.

Review the Strategies

Use any strategy to solve each problem.

• Use the four-step plan.
• Make a table.
• Act it out.

Question 6. Mathematical PRACTICE Make a Plan Ming-Li spent $15 at the movies. She then earned $30 babysitting. She spent $12 at the bookstore. She now has $18 left. How much money did Ming-Li have to begin with? Answer: The amount she spent on movies = $15 The amount she earned on babysitting = $30 The amount she spent at the bookstore = $12 The amount she has left = $18 The amount she has to begin with = X X – 15 + 30 – 12 = 18 X – 15 + 18 = 18 After solving the equation, we get 18 gets cancelled. X – 15 = 0 X = 15 Therefore, the money she begin with $15.

Question 7. Mr. Jenkins bought payers for some landscaping projects. He used 120 for a small patio, 86 for the border of a flower bed, and 70 for a wall. He has 24 payers left. How many payers did Mr. Jenkins buy? Answer: The number of payers he used for the small patio = 120 The number of payers he used for the flower bed = 86 The number of payers he used for the wall = 70 The number of payers left = 24 The number of payers he buys = X X = 120 + 86 + 70 + 24 X = 300 Therefore, he bought 300 payers.

Question 9. You multiply a number by 3, subtract 6 and then add 2. The result is 20. What is the number? Answer: Let the number be n 3n – 6 + 2 = 20 Solve the equation. 3n – 4 = 20 3n = 20 + 4 3n = 24 n = 24/3 n = 8

McGraw Hill My Math Grade 5 Chapter 1 Lesson 9 My Homework Answer Key

Problem Solving

Question 2. The volleyball team sold 16 items on the first day of a bake sale, 28 items on the second day, and 12 items on the last day. There were 4 items left that had not been purchased. How many total items were for sale at the bake sale? Answer: The number of items sold by the Volleyball team on the first day = 16 The number of items sold by the Volleyball team on the second day = 28 The number of items sold by the Volleyball team on the third day = 12 The number of items left that are not purchased = 4 The number of total items = x x = add all the items to get the total x = 16 + 28 + 12 + 4 x = 60 Therefore, the total items are 60.

Question 4. The distance between Cincinnati, Ohio, and Charlotte, North Carolina, is about 336 miles. The distance between Cincinnati and Chicago, Illinois, is about 247 miles. If Perry drove from Charlotte to Chicago by way of Cincinnati, find the distance he drove. Answer: Cincinnati, Ohio, and Charlotte, North Carolina all are considered as x1 Cincinnati and Chicago, Illinois are considered as x2 The distance between the cities(x1) = 336 The distance between the cities(x2) = 247 The distance we need to find out for Charlotte to Chicago by way of Cincinnati = D D = 336 – 247 D = 89 Therefore, the distance he dove is 89 miles.

Question 5. Mathematical PRACTICE Plan Your Solution Adison earned $25 mowing her neighbor’s lawn. Then she loaned her friend $18, and got $50 from her grandmother for her birthday. She now has $86. How much money did Adison have to begin with? Answer: Let x be the beginning amount of money The amount earned by Addison by mowing her neighbour’s lawn = $25 The amount she loaned from her friend = $18 The amount she got a birthday gift from her grandmother = $50 the amount she has present = $86 the expression to solve this question is x + 25 – 18 + 50 = 86 x + 75 – 18 = 86 x + 57 = 86 x = 86 – 57 x = 29 Therefore, the beginning amount of money is $29

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