7.4 SKM & PP 1 7.4 Application Problems. 7.4 SKM & PP 2 Word Problem Basics IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM.

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Presentation transcript:

7.4 SKM & PP Application Problems

7.4 SKM & PP 2 Word Problem Basics IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense?

7.4 SKM & PP 3 Tickets? Tickets for the Sacramento Kings cost $90.00 for seats in the Lower Level and $70.00 for seats in the Upper Level. 25 students decide to attend a game. They spent $ How many of each ticket did they buy?

7.4 SKM & PP 4 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 5 IDENTIFY your VARIABLES Tickets? L = Number of tickets purchased in the Lower Level U = Number of tickets purchased in the Upper Level

7.4 SKM & PP 6 Write a COMPLETE SYSTEM Tickets?

7.4 SKM & PP 7 Write a COMPLETE SYSTEM Tickets? $Tickets$Tickets Lower90L90L Upper70U70U

7.4 SKM & PP 8 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 9 Tickets

7.4 SKM & PP 10 Tickets?

7.4 SKM & PP 11 Tickets?

7.4 SKM & PP 12 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 13 Tickets? Tickets for the Sacramento Kings cost $90.00 for seats in the Lower Level and $70.00 for seats in the Upper Level. 25 students decide to attend a game. They spent $ How many of each ticket did they buy? The students bought 8 Lower Level tickets and 17 Upper Level tickets

7.4 SKM & PP 14 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 15 Grain Mixture Mrs. Peterson’s horse Red Rider needs 25 pounds of food, with an average of 9% protein, a day. Alfalfa contains 8% protein, while rolled oats contain 12% protein. How many pounds a day of alfalfa and rolled oats should she use?

7.4 SKM & PP 16 IDENTIFY your VARIABLES Grain Mixture A = Number of pounds of alfalfa fed each day. R = Number of pounds of rolled oats fed each day.

7.4 SKM & PP 17 Write a COMPLETE SYSTEM

7.4 SKM & PP 18 Write a COMPLETE SYSTEM Grain? %Pounds%Pounds Alfalfa0.08A0.08A Upper0.12R0.12R (25)

7.4 SKM & PP 19 Write a COMPLETE SYSTEM

7.4 SKM & PP 20 Solve for R

7.4 SKM & PP 21 Solve for A

7.4 SKM & PP 22 Clearly Answer the Question in Words. Mrs. Peterson’s horse Red Rider needs 25 pounds of food, with an average of 9% protein, a day. Alfalfa contains 8% protein, while rolled oats contain 12% protein. How many pounds a day of alfalfa and rolled oats should she use? She should feed 6.25 pounds of rolled oats and pounds of alfalfa a day.

7.4 SKM & PP 23 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 24 Check!

7.4 SKM & PP 25 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 26 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 27 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 28 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 29 IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics

7.4 SKM & PP 30 Try this one again? A piggy bank contains twenty- four nickels and quarters. The coins have a total value of $3.20. Determine the number of nickels and the number of quarters in the bank ?

7.4 SKM & PP 31 How about this one? A postal clerk sold some 22 cent and some 28 cent stamps. Altogether he sold 120 stamps for a total cost of $ How many of each type stamp were sold? LET C = # of 22 cent stamps E = # 28 cent stamps

7.4 SKM & PP 32 How about this one? A postal clerk sold some 22 cent and some 28 cent stamps. Altogether he sold 120 stamps for a total cost of $ How many of each type stamp were sold? LET C = # of 22 cent stamps E = # 28 cent stamps

7.4 SKM & PP 33 Pairs of Angles!

7.4 SKM & PP 34 Pairs of Angles!

7.4 SKM & PP 35 C Complements

7.4 SKM & PP 36 S Supplements

7.4 SKM & PP 37 Angles not Angels! Two angles are complementary. The larger angle is 9 o more than eight times the measure of the smaller angle. Find the measures of the two angles.

7.4 SKM & PP 38 Angles not Angels!

7.4 SKM & PP 39 Angles not Angels!

7.4 SKM & PP 40 Angles not Angels!

7.4 SKM & PP 41 Angles not Angels! 9 o and 81 o

7.4 SKM & PP 42 Try this one! A piggy bank contains twenty-four nickels and quarters. The coins have a total value of $3.20. Determine the number of nickels and the number of quarters in the bank ?

7.4 SKM & PP 43 That’s All Folks!