Systems Of Equations

Systems of Linear Equations and Inequalities Test

Tuesday November 20

Students will be able to … Solve a system of two equations using linear combinations Solve a system of two linear equations using substitution. Show understanding that a solution to a system of equations is a point in the coordinate plane. Apply understanding of systems to word problems. Graph a system of linear inequalities.

Pizza Bell offers the following lunch options. #1

One slice of pizza and four breadsticks for $5.09

#2

Two slices of pizza and 2 breadsticks for $5.98

What should they charge for their new kid’s meal of one slice of pizza and one breadstick? Dash is offering new options in cell phone service. You can choose the option of $9.95 a month plus 9 cents a minute or $39.95 a month and 1 cent a minute. For what number of minutes is the cost the same? Which plan is better for you?

Mr. Helsaple likes to make his own blend of coffee. He combines two coffees. The imported coffee beans cost $8.40 a pound. He pays $4.80 a pound for his domestic coffee beans. If he makes a 10 pound blend that costs $6.42 a pound, how many pounds of imported beans did he purchase?

Where do the lines 4 x " 3y = 11 and 2x + 6y = "5 intersect?

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Find the area of the region bounded by the system.

%6x + 5y " 30 ' &x # 0 '2x $ y # 2 (

Pico de Gallo At the Pico de Gallo Restaurante the dinner specials include the following combinations of tacos and enchiladas. #1 meal 2 tacos & 3 enchiladas for $8.00 #2 meal 3 tacos & 1 enchilada for $5.70 They want to create a child’s meal of 1 taco and 1 enchilada. Based on the information abovem, what should they charge for the meal?

Going to a Concert The 8th grade class is taking a field trip to a concert. Your bus averages 40 mph in the heavy traffic driving to the concert and 60 mph returning home. The total travel time is 2.5 hours. How far away is the concert? How long did it take to get to the concert?