Solving Word Problems with Systems of Equations

This video tutorial covers solving word problems using systems of equations. It provides tips on defining variables, writing equations, and choosing methods like substitution or elimination. Two examples are discussed: one involving costs at a movie concession stand and another about calculating the dimensions of a TV using its perimeter. The video emphasizes the importance of checking solutions for reasonableness and labeling answers appropriately.

What is the first step in solving word problems involving systems of equations?

• Define the variables

• Write the equations

• Choose a method

• Check your answers

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CCSS.8.EE.C.8C

Which method can be used to solve systems of equations?

• Factoring

• Graphing

• Completing the square

• Substitution

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the example problem, what do the variables P and D represent?

• P: People, D: Days

• P: Popcorn, D: Drinks

• P: Price, D: Discount

• P: Pounds, D: Dollars

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CCSS.6.EE.C.9

What is the equation for the cost of three large popcorns and two large drinks?

• 3P + D = 14

• P + 2D = 14

• 2P + 3D = 26

• 3P + 2D = 26

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CCSS.HSA.CED.A.3

What is the cost of one large drink in the example problem?

• $2

• $3

• $5

• $4

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CCSS.7.EE.B.4A

What is the cost of one large popcorn in the example problem?

• $7

• $6

• $5

• $8

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CCSS.7.EE.B.4A

In the geometry word problem, what is the perimeter of the TV?

• 80 inches

• 92 inches

• 84 inches

• 88 inches

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CCSS.4.MD.A.2

How is the length of the TV related to its width?

• Length is four less than three times the width

• Length is four more than three times the width

• Length is three times the width

• Length is twice the width

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CCSS.6.EE.C.9

What is the width of the TV in the geometry word problem?

• 16 inches

• 14 inches

• 12 inches

• 10 inches

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CCSS.8.EE.A.2

What is the length of the TV in the geometry word problem?

• 32 inches

• 34 inches

• 28 inches

• 30 inches

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CCSS.8.EE.A.2