EQUATIONS MULTI-STEP PROBLEM SOLVING GRAPHIC ORGANIZER. Equations with Variables on Each Side. Equations with Rational Numbers. Multi-Step Equations
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1 MULTI-STEP EQUATIONS PROBLEM SOLVING GRAPHIC ORGANIZER Equations with Variables on Each Side Equations with Rational Numbers Exceeding the CORE Question # 0 Multi-Step Equations
2 The table shows ticket prices for an amusement park for members and non-members. For how many tickets is the cost same for members and non-members? Ticket Prices Members Non- Members Membership Fee $30 None Ticket Price $3 $6 Exceeding the CORE Question # 1
3 The table shows the number of T-shirts student council Name Number of T-shirts sold Pedro 10 Allison 13 Lorna 9 members sold. The total raised was $353. Write and solve an equation to find the price of one T-shirts. Exceeding the CORE Question # 2
4 Get Fit Gym charges a yearly fee of $250 plus $10 for each session with a personal trainer. Tight N Toned Gym charges a one time fee of $50 plus $30 per session for a personal trainer. For how many sessions is the cost of the two plans the same? Exceeding the CORE Question # 3
5 Mr. Grouper has budgeted $2000 for a graduation party for his son. The cost to rent the venue is $150. How much can Mr. Grouper spends per guest on food if each of the 225 guests receives a $3.50 gift? Exceeding the CORE Question # 4
6 Pristine House Cleaners charges $19.85 plus $32 a room. Sparkle House Cleaners charges $61.85 plus $18 a room. Write and solve an equation to find the number of rooms for which the total cost of both house cleaners is the same? Exceeding the CORE Question # 5
7 At the carnival, Marsha bought 10 ride tickets and 3 snacks. Each ride ticket costs $1.50 less than a snack. Marsha spent a total of $ Write and solve an equation to find the cost of each snack? Exceeding the CORE Question # 6
8 Greg is saving to buy a tablet that costs $235. He already has $25. Each week, Greg earns $15 babysitting and $25 as a casher, but he spends $10 on lunches. Write and solve an equation to find in how many weeks Greg will have enough money saved. Exceeding the CORE Question # 7
9 Shirley has two different garden plots She wants to fence in each garden plot with the same number of small rocks. Write and solve an equation to find the value of x so that the gardens plots have the same perimeter. Exceeding the CORE Question # 8
10 The Williams family spent a total of $26.75 at the Snack Shack. They bought 3 sandwiches and 5 beverages. Each beverage costs $2.50 less than a sandwich. Write and solve an equation to find the cost of each sandwich? Exceeding the CORE Question # 9
11 Ms. Campbell is hosting a toy drive for charity. Justin collected 10 more toys than Brianna. Hannah collected twice as many as Justin. If they collected 130 toys altogether, how many toys did Justin collect? Exceeding the CORE Question # 10
12 PROBLEM SOLVING Answer Key Answer 1. The cost is the same for 10 tickets for members and non-members. Sample Work x = 6x 30 = 3x; 10 = x 2. Each T-shirt cost $11. 10n + 13n + 9n = n = 353; n = The cost is the same for10 personal training sessions. 4. Mr. Grouper can spend $4.72 per guest on food. 5. The total cost of both houses cleaners are the same for 3 houses 6. Each snack cost $3. 7. Greg will have enough money seved in 7 weeks. 8. The value of x must be 5 in order for the plots to have the same perimeter s = s 250 = s 200 = 20s; 10 = s 2000 = (x ) 2000 = x = 225x = 225x; 4.72 = x x = x 32x = x 14x = 42 ; x = 3 10(s 1.5) + 3s = 24 10s s = 24 13s 15 = 24 13s = ( )w 10w = w 10w = w = w = 210 w = 7 4(x + 6) = x x x 4x + 24 = 9x = 5x = 5x 5 = x 9. Each sandwich cost $ s + 5(s 2.50) = s + 5s = s = s = s = Justin collected 35 toys. x=toys Brianna collected 10 + x=toys Justin collected 2(10 + x) =toys Hannah collected x x + 2(10 + x) = 130 x x x = 130 4x + 30 = 130 ; 4x = 100; x = x = = 35 Exceeding the CORE Question # 11
13 Name Class Thank you so much for downloading this resource! You can get more resources like this at Exceeding the CORE! You may also want to check out: Exceeding the CORE 0
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