Solving Systems with Addition Word Problems. Essential Questions How can we find the solution to a system of equations by using addition? How can we use.

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Presentation transcript:

Solving Systems with Addition Word Problems

Essential Questions How can we find the solution to a system of equations by using addition? How can we use the process of solving systems with addition to solve real world problems?

Steps to Solving System Using Addition (Word Problems) 1. Define the variables (use variables that make sense for the problem. 2. Write a system of equations translating the word problem into mathematical sentences 3. Determine which variable to eliminate and make sure they are opposites. 4. Add systems to find solution to one of the variables. 5. Substitute and find the other solution 6. State your solution as a sentence (words!)

Example #1 At a concession stand two pretzels and two sodas cost $3.50. Two pretzels and four sodas cost $6.00. Find the cost of each item.

Example #2 In a school bookstore, four pencils and an eraser cost $0.65. Two pencils and an eraser cost $0.45. Find the cost of each item.

Example #3 Altogether 292 tickets were sold for the high school musical. An adult ticket was sold for $3. A student ticket was sold for $1. Ticket sales were $470. How many of each type were sold?