Multi-Step Variable Both Side - Scenarios

Emma has 3 apples and buys x more. Aria has 5 apples and gives all to Emma. Now, Emma has 2 apples fewer than Samuel who has x + 7 apples. How many apples does Emma buy?

• 7

• 0

• -10

• -12

Avery had 4 apples. She gave 2 apples to each of her friends. James, on the other hand, had 3 apples and he gave 1 apple to each of his friends. After giving away the apples, James had 5 apples left. How many friends does Avery have if both Avery and James have the same number of friends?

• 10

• -5

• -6

• 2

Ava and Emma are selling lemonade. Ava sells 2 cups for every 3 cups Emma sells. If Ava's cups are priced at $3 each and Emma's at $4 each, how much more does Emma make if they both sell 5 cups each?

• $10 more than Ava

• $16 more than Ava

• $5 more than Ava

• $20 more than Ava

Avery is buying pencils and erasers for a school project. The cost of 2 pencils and 3 erasers is the same as the cost of 3 erasers and 5 pencils minus $5. If the cost of each pencil is represented by 2x and the cost of each eraser is represented by 3, solve for x.

• 0

• 1

• -0.5

• -1

Aria and Michael are playing a game where they score points by solving math puzzles. In one round, Aria calculates the value of x in the equation: 5(2x + 3) - 4 = 3(4x - 1) + 2. What is the value of x?

• 10

• 0

• -2

• 6

Kai and Mason are planting trees in a park. Kai plants 3 groups of trees, with each group having (2x - 1) trees, and Mason plants 4 groups, with each group having (3x + 2) trees. How many trees have they planted in total?

• 18x + 6

• 12x + 3

• 6x + 5

• 18x + 5

David has 2 bags with 3x apples and 4 oranges each. After selling 5 oranges, he notices that he has as many apples and oranges as Nora, who has 3 bags with 2x apples and 1 orange less in each. If Nora finds 7 more oranges on her way home, how many apples does each bag of David contain?

• x = 0

• x = 1

• x = -1

• No solution

Elijah bought 4 packs of stickers. Each pack contains 2x - 3 stickers. He also bought 5 individual stickers. On the other hand, Ethan bought 3 packs of stickers, each containing 3x + 1 stickers, and lost 2 stickers. If both of them have the same number of stickers, what is the value of x?

• 10

• -6

• 2

• -8

Arjun is buying pencils and erasers for his class. Pencils come in packs of 4, each pack costing $3, and erasers come in packs of 2, each pack costing $5. If Arjun buys 2 packs of pencils and 3 packs of erasers, what is the total cost? Use the expression: 2(4x - 3) + 3(2x + 5) where x represents the cost of one pack of pencils.

• 6x + 15

• 14x + 12

• 8x + 9

• 14x + 9

Daniel is comparing two mobile plans. Plan A offers 3(2x + 1) minutes of talk time for a monthly fee, while Plan B offers 2(3x - 2) minutes plus an additional 5 minutes. If both plans are to offer the same talk time, and the monthly fee is reduced by 4 minutes in Plan A, how many minutes does 'x' represent?

• x = 1

• There is no solution to the equation.

• x = 0

• x = -1