Write expressions when solving a real-world or mathematical problems.
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1 Date Using Variables to Represent Numbers - Step-by-Step Lesson Write expressions when solving a real-world or mathematical problems. The variable s represents the number of additional cups of syrup that Lisa buys. The variable t represents the total number of pancakes she eats with the syrup. With 2 additional cups of syrup, how many pancakes will Lisa eat? t = 4s Explanation: The variable t represents the total number of pancakes. The variable s represents the number of cups of syrup Lisa buys. s = 2 t = 4s t = 4 x 2 t = 8 She will eat 8 pancakes.
2 Date Using Variables to Represent Numbers - Guided Lesson Complete the following questions: 1) Scott bought new volleyballs (v) from Thailand. He gave 56 balls to his friend. Write the expression that shows how many balls Scott has now. 2) The equation shows the number of meals that Kerry has prepared in relation to the number of minutes she has spent working in the kitchen. 5T = s The variable s represents the number of minutes she worked. The variable T represents the amount of meals prepared. How many meals will Kerry prepare if she worked for 2 hours? 3) Mark has p cookies. Allen has 15 more cookies than Mark. Choose the expression that shows how many cookies Mark has. a p b. 15 p c. p - 15
3 Date Using Variables to Represent Numbers - Guided Lesson Explanation Explanation#1 In the question Scott bought volleyballs from Thailand. We use the variable v to denote the number of volleyballs. He gave 56 balls to his friend. That would mean that 56 was subtracted from his total. Putting it all together: The answer will be v Explanation#2 The variable s represents the number of minutes. The variable T represents the amount of meals prepared. We have to input 2 hours. We are working with minutes, so we need to convert the hours to minutes. There are 60 minutes in an hour. So, 2 hours would equal 120 minutes (60 x 2). Now we plug the 120 minutes in as: s = 120 5T= s T = 120 / 5 T = 24 Kerry can prepare 24 meals in 2 hours. Explanation#3 In the question Mark has p cookies. Cookies are denoted as p. Allen has 15 more cookies than Mark. The word more indicates addition. Allen s cookies would = p + 15 (choice a)
4 Date Using Variables to Represent Numbers - Independent Practice Worksheet Solve the equations. 1. Smith has p small balloons and 20 big balloons. Write the expression that shows how many balloons Smith has. 2. Johnson has 19 bowls of ice cream. He gives away d ice cream bowls. Write the expression that shows the number of ice cream bowls that are left. 3. Kim bought a purse (b). Then she went to the market and bought 16 more purses. Write the expression that shows how many purses Kim has now. 4. Jones planted s flowers. He planted fewer flowers than Kerry. Kerry planted 50 flowers. Write the expression that shows how many flowers Jones planted. 5. Moore has v small chairs and 22 big chairs. Write the expression that shows how many chairs Moore has. 6. Nancy has 62 more erasers than Barbara. Barbara has f erasers. Write the expression that shows how many erasers Nancy has. 7. David has p leaves. He planted 22 more leaves. Write the expression that shows how many leaves he has now. 8. Arial ate 90 out of e candies. Write the expression that shows how many candies he has left. 9. Kerry has 77 dolls. Perry has e more dolls than Kerry. Write the expression that shows how many dolls Perry has. 10. Clark has p apples. Paul has 11 fewer apples. Write the expression that shows how many apples Paul has.
5 Date Using Variables to Represent Numbers - Matching Worksheet Match the problems to their expressions. 1. Parker has S laptops. Gordon has 4 more than Parker. Write the expression that shows how many laptops Gordon has. a. S Mary has Q small sugar boxes and 22 large sugar boxes. Write the expression that shows how many sugar boxes Mary has. b. M Garcia bought S kilograms of rice. She ate 5 kg of rice. Write the expression that shows how many rice has now. c. Q Ronald got M shirts and bought 10 more shirts. Write the expression that shows how many shirts Ronald has. d. M Sharon ate 10 hamburgers out of M hamburgers. Write the expression that shows how many hamburgers are left. e. S + 4
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