Unit 1 Quiz

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

• 3

• 5

• -3

• -1

What value of x makes this equation true? 2x + 9 - 4x = x - 12

• 7

• -21

• -1

• 3

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

• 3/5

• • - 5/3

• • - 3/5

• 5/3

A college has two classrooms of students. Classroom A had 70 students, and Classroom B had 30 students. Classroom A sent groups of 4 students to Classroom B until both classrooms had the same number of students. How many groups did Classroom A send to Classroom B?

• 5

• 8

• 10

• 4

Jessica baked 72 cookies and sold x cookies. Max baked 36 cookies and sold half as many cookies as Jessica did. How many cookies did Jessica sell if they each had the same number of cookies left over?

• 18

• 36

• 24

• 72

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

• 17x = 30 + 7x

• 17x = 15 + 22x

• 17x = 7 + 30x

• 17x = 22 + 15x

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?

• $25

• $12.50

• $15

• $7.50

Rectangle ABCD is shown with the dimensions given in units. The length of AB is greater than the length of AD. Which inequality represents this situation?

• 9x - 16 < 1.5x + 42

• 9x - 16 > 1.5x + 42

• 10.5x < 26

• 10.5x > 26

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?

• 45,000x + 2,500x = 54,000x + 1,500x

• 45,000x + 2,500 = 54,000x + 1,500

• 45,000 + 2,500x = 54,000 + 1,500x

• 45,000 + 2,500x = 54,000x + 1,500

A tank starts off containing 1,060 gallons of water, and 35 gallons of water leaks from the tank every hour. At the same time, an empty pool is filled with water at a rate of 480 gallons per hour. Which inequality represents all possible values for x, the number of hours that have passed when the tank contains less water than the pool?

• 1,060 + 35x > 480x

• 1,060 - 35x > 480x

• 1,060 - 35x < 480x

• 1,060 + 35x < 480x