Compare Solution Methods for Multi-Step Equations Practice
Questions 1-
You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.
Questions 2- The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.
Questions 3- To solve the equation 23(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.
Questions 4-There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.
Questions 5- Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 212 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.
6 answers
Questions 2- To solve this equation, you can use the division method. Divide $960 by 60 to find the cost per player for the town. Then add $5 to the cost per player to find the total cost per player.
Questions 3- To solve this equation, you can use the reciprocal method. The reciprocal of the fraction is 23. Multiply both sides of the equation by 23 to solve for x.
Questions 4- To solve this equation, you can use the substitution method. Let x be the cost of the silver tickets and x + 8 be the cost of the gold tickets. Set up two equations and solve for x.
Questions 5- To solve this equation, you can use the multiplication method. Multiply 2 cups of sugar by 4 to find the amount of sugar in the original recipe. Then subtract the amount of sugar from 212 cups of flour and sugar combined to find the amount of flour in the original recipe.
1. 3.5
2. 11
3. 3/2
4. 3 and 11
5. 8