NEW 2024 8.8c equations with variables on both sides

What is the value of x in the equation represented by the tiles?

• 3

• 5

• -3

• -1

Two student groups went to an amusement park on the same day.

-Group 1 bought 9 tickets and received a $120 discount.

-Group 2 bought 3 tickets and received a $30 discount.

-Both groups spent the same total amount of money on tickets.

-The price of each ticket was the same.

What was the cost of each ticket?

Mathematical Equivalence

ON

Two customers spent the same total amount of money at a restaurant.

-The first customer bought 8 hot wings and left a $4 tip.

-The second customer bought 10 hot wings and left a $2.80 tip.

-Both customers paid the same amount per hot wing.

How much does one hot wing cost at this restaurant in dollars and cents

Mathematical Equivalence

ON

A college has two classrooms of students.

-Classroom A had 70 students.

-Classroom B had 30 students.

-Classroom A sent groups of 4 students to Classroom B until both classrooms had the same number of students.

The equations shown represents the situation.

70 - 4x = 30 + 4x

How many groups did Classroom A send to Classroom B?

Mathematical Equivalence

ON

Aquarium 1 contains 4.6 gallons of water. Louise will begin filling Aquarium 1 at a rate of 1.2 gallons per minute.

Aquarium 2 contains 54.6 gallons of water. Isaac will begin draining Aquarium 2 at a rate of 0.8 gallons per minute.

After how many minutes will both aquariums contain the same amount of water?

Mathematical Equivalence

ON

What value of x makes the equation true?

12x - 15 = 6 - 3x

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did.

How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

• 18

• 5

• 15

• 8

2x + 3 = x - 4

Mathematical Equivalence

ON

Based on the model, what is the value of x?

What value of x makes this equation true?

2x + 9 - 4x = x - 12

Mathematical Equivalence

ON