Start Thinking! For use before Activity 3.1. Warm Up For use before Activity 3.1. Evaluate the expression
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1 Activit Start Thinking! For use before Activit Have ou ever read a newspaper article? A good article should answer the five Ws: Who? What? When? Where? Wh? How is a newspaper article similar to a word problem ou would solve in math class? Activit Warm Up For use before Activit Evaluate the epression
2 Lesson Start Thinking! For use before Lesson How would ou plan a trip in a car? You want to travel to Washington, D.C. What information might ou need to make our plans? What math is involved? Lesson Warm Up For use before Lesson Write and evaluate an epression for the problem. 1. You bu scarves for $15 each. How much do ou spend?. It takes ou 15 minutes to bike 5 miles. How long does it take ou to bike 1 mile?. Four friends split a lunch bill for $4. How much does each person spend? 4. You have traveled 70 miles of a 00-mile trip. How much farther do ou have to travel? 86
3 Name Date Practice A Identif the terms, coefficients, and constants in the epression c + e. 5m + 9. p + 7 Evaluate the epression when c = 4, d = 6, and e = d 5. c + d d e 8. 4 c e c 11. 0d 1. Evaluate the epression when m = 5 and n = m n m d 6m n 16. Describe and correct the error in evaluating the epression when m = 10. m 6 = 10 6 = 4 = Twent-five students go to lunch. Pizza costs $ and sandwiches cost $. Twelve students bu pizza. What is the total amount of mone spent on sandwiches? 18. Each student in our class must do 14 homework problems. There are students in the class. How man problems will our teacher have to grade? 19. A summer job pas $5 per hour. a. You work for 1 hours. How much do ou make? b. After working 4 hours, do ou have enough mone to bu an MP plaer that costs $100? 0. You can read 5 pages per hour. a. You read for an hour and a half. How man pages have ou read? b. You must read 10 pages for homework. Can ou complete the assignment in two hours? Eplain our reasoning. 87
4 Name Date Practice B Write each epression using eponents. 1. m m m m. f g g g. 7.4 Evaluate the epression when c = 6, d = 8, and e = c d d Cop and complete the table. d + c e 6. e c d e Evaluate the epression when m = 9 and n = mn 4 1. n 4m 1. m On a field trip, our class stops to get ice cream cones. Each cone costs $. There are 68 students in our class. How much will the ice cream cones cost? 15. You earn mone b washing windows at $14 per house or washing cars at $5 per car. How man cars would ou have to wash to make the same amount for washing windows at 10 houses? 16. Your basketball team made 10 three-pointers, 8 two-point field goals, and 1 one-point foul shots. Your opponents made 8 three-pointers, 1 two-point field goals, and 11 one-point foul shots. Who won? B how man points did the win? 17. There are 46 legs in a zoo ehibit. Ever animal has either two or four legs. a. List two possible choices for the number of each tpe of animal in the ehibit. b. The number of two-legged animals is more than the number of four-legged animals. How man of each are in the ehibit? c. The number of legs in the ehibit increases b 4. What might account for this increase? 88
5 Name Date Enrichment and Etension Evaluating Algebraic Epressions Evaluate the epression when = 4, =, and z = z z +. ( ) 4. ( z ) 5. ( z ) + 4 z 7 6. ( ) 7. Using the epression 4 7, what is the smallest whole number value for that gives a result that is more than 150? 8. Using the epression 10 +, what is the smallest whole number value for that gives a result that is more than 400? Which value of makes the epressions equal? 9., , 7 6 You roll two number cubes. The first number cube determines the value of and the second number cube determines the value of in the 60 epression. 11. What is the largest value of the epression? First Number Cube 1. What is the smallest value of the epression? 1. Use the epression to complete the table. 14. If ou rolled the number cubes 100 times, which epression value do ou think ou would get most often? Eplain. Second Number Cube 89
6 Name Date Puzzle Time Wh Were King Edward's Soldiers Too Tired To Fight? Write the letter of each answer in the bo containing the eercise number. Write each epression using eponents. 1. a a a a c c d d m m m n n Evaluate the epression when a = 4, b =, and c = a 6. c a b 9. 5a a b c 1. c ab 10. c a 5 Evaluate the epression when a = 1, b = 5, and c =. a 1. a c b c a c 0. bc ab. 6 c a 1 6a c.4 Answers Y G. S. 14 S. E. 4 a T. H. 0 D. N. 58 H. 9.8m n L. 88 T. 10 S. 4 E. 4 1 cd I S. E. 1. A. 9 P.. E. 9.6 K. 7.5 L. 0.7 H. 16. The epression 1a + 7s is the cost, in dollars, for a adults and s students to enter the local marching band competition. Find the total cost for 4 adults and 0 students
Name Date. and y = 5.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
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