Lesson 6.2 Solving Equations with Variable on Both Sides Word Problems

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Presentation transcript:

Lesson 6.2 Solving Equations with Variable on Both Sides Word Problems Essential Question: How do you solve equations with variables on both sides?

Solving Equations with Variables on Both Sides To solve an equation with variables on both sides, you’ll continue to use inverse operations to isolate the variable. However, we’ll have to collect variable terms on side and constant terms on the other side.

How do I solve an equation with variables on both sides? Simplify expressions on both sides of the equation. Collect all variable terms on one side of the equation. Collect all constant terms on the other side of the equation. Use inverse operations to isolate the variable.

Concert Tickets Tickets to a concert cost $30 for fan club members and $35 for nonmembers. Fan club membership is $25 per person. Write and solve an equation to find the number of tickets for which a member and a nonmember pay the same amount.

Karate Lessons You pay $50 for a fitness center membership Karate Lessons You pay $50 for a fitness center membership. Karate lessons at the center cost $6 each for members and $10 each for nonmembers. You take three more lessons than your friend who is a nonmember. For what number of lessons will your friend pay the same amount as you?

Music You pay $20 for a youth center membership Music You pay $20 for a youth center membership. Drum lessons at the center cost $8 each for members and $12 each for nonmembers. You take two more lessons than your friend, a nonmember. For what number of lessons will your friend pay the same total amount as you?

Books Books from a book club cost $8 for members and $10 for non-members. Membership is $18. You buy 1 more book than your friend, who is a member. You are not a member. For what number of books will your friend pay the same total amount as you?

Phone Card One phone card charges $0. 018 per minute with a $0 Phone Card One phone card charges $0.018 per minute with a $0.25 weekly fee. Another card charges $0.029 per minute with no weekly fee. You need a card for 4 weeks. What number of minutes will both cards cost the same?

Decorations You are decorating for a school dance Decorations You are decorating for a school dance. Balloons cost $8 per dozen but cost more if bought singly. You have the exact amount of money for either 7 dozen and 5 single balloons or 75 single balloons. What is the cost of a single balloon? How much money do you have?

Money David has $26 and saves $8 each week Money David has $26 and saves $8 each week. Emily has $56 and saves $4 each week. How many weeks will it take for David and Emily to have the same amount of money?

How do you solve equations with variables on both sides?

Ticket Out the Door Cheryl has saved $120 towards a vacation. She earns $10 an hour working as a cashier. Mike has $200 saved towards his vacation and earns $8 an hour as a waiter. How many hours will they have to work so they have the same amount of money saved?