7.4 skm & pp 1 7.4 application problems. 7.4 skm & pp 2 word problem basics identify your...
Post on 28-Dec-2015
222 Views
Preview:
TRANSCRIPT
7.4 S KM & 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 S KM & 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 $1910.00. How many of each ticket did they buy?
7.4 S KM & 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 S KM & 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 S KM & PP 7
• Write a COMPLETE SYSTEM
Tickets?
$ Tickets $•Tickets
Lower 90 L 90L
Upper 70 U 70U
25 1910
7.4 S KM & 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 S KM & 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 S KM & 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 $1910.00. How many of each ticket did they buy?
The students bought 8 Lower
Level tickets and 17 Upper Level
tickets
7.4 S KM & 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 S KM & 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 S KM & 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 S KM & PP 18
• Write a COMPLETE SYSTEM
Grain?
% Pounds %•Pounds
Alfalfa 0.08 A 0.08A
Upper 0.12 R 0.12R
0.09 25 0.09(25)
7.4 S KM & PP 19
Write a COMPLETE
SYSTEM
)25(09.0R12.0A08.0
25RA
R25A
25.2R12.0)R25(08.0 25.2R12.0R08.02
25.2R04.02
7.4 S KM & PP 20
Solve for R
)25(09.0R12.0A08.0
25RA
25.2R04.02
25.0R04.0 25.0R04.0
04.025.0
R
25.6R
7.4 S KM & PP 22
Clearly Answerthe 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 18.75
pounds of alfalfa a day.
7.4 S KM & 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 S KM & 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 S KM & 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 S KM & 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 S KM & 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 S KM & 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 S KM & 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 ?
2032505
24
.Q.N.
QN
7.4 S KM & PP 31
How about this one?
20282822
120
.E.C.
EC
A postal clerk sold some 22 cent and some 28 cent stamps. Altogether he sold 120 stamps for a total cost of $28.20. How many of each type stamp were sold? LET C = # of 22 cent stamps E = # 28 cent stamps
7.4 S KM & PP 32
How about this one?
20282822
120
.E.C.
EC
A postal clerk sold some 22 cent and some 28 cent stamps. Altogether he sold 120 stamps for a total cost of $28.20. How many of each type stamp were sold? LET C = # of 22 cent stamps E = # 28 cent stamps
7.4 S KM & PP 37
Angles not Angels!
Two angles are complementary. The larger angle is 9o more than eight times the measure of the smaller angle. Find the measures of the two angles.
LS
9)(8
90
SL
SL
7.4 S KM & PP 41
Angles not Angels!
9o and 81o
9)(8
90
SL
SL
8( S) 9 S 90 9( S) 9 90
9( S) 81 81
S9
S 9
7.4 S KM & 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 ?
2032505
24
.Q.N.
QN
top related