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Unit 3 WORD PROBLEMS WITH LINEAR SYSTEMS
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TWO IMPORTANT QUESTIONS 1.What are my two variables? 2.How are they related?
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22 FOR 2 UNKNOWN VARIABLES WE NEED 2 EQUATIONS TO SOLVE FOR BOTH! Find a way to relate the variables by Sum or Difference Total Cost Total Quantity Complementary & Supplementary Total Distance Perimeter & Area
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1.The sum of two numbers is 26. Their difference is 4. Find the smaller number. 2.There are 38 students in an English class. There are 8 more boys than girls. How many boys are there? EXAMPLES DON’T FORGET TO DEFINE YOUR VARIABLES!!!
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3.The perimeter of a rectangle is 74. The length is 5 more than the width. What are the measures of the sides? 4.Two angles are complementary. One of them is 4 times the other. Find the measure of the smaller angle. EXAMPLES
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EXAMPLE 5.A collection of nickels and quarters is worth $13.50. There are 78 coins in all. How many of each are there?
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EXAMPLE 6.There were 512 people at the Talent Show. Admission was $1.25 for adults and $0.50 for children. The receipts were $406.75. How many of each attended?
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