7th Grade State Test Question (Hard)

A proportional relationship is represented by the equation 2x = 18y.

If the y = kx, where k is the constant of proportionality, then what is the value of k?

• 9

• 2

• 1/2

• 1/9

Tags

CCSS.7.RP.A.2C

Antonio bought 3 guayabera shirts. Each shirt cost the same amount and was discounted by $3.66. Antonio paid a total of $62.31 before tax. How much did each shirt cost before the discount?

• $19.55

• $20.77

• $24.43

• $28.09

Tags

CCSS.7.EE.B.3

• 2 inches

• 4 inches

Tags

CCSS.6.RP.A.3B

Mateo's bakery specializes in conchas, Mexican sweet bread pastries that look like seashells. The bakery's daily costs are the sum of fixed costs, like rent, and $2.25 for each pastry made.

The fixed costs total $119.75 per day. Mateo's goal is to keep the daily cost of the bakery at or below $500 per day. Which inequality shows the maximum number of pastries, p, that can each day to achieve Mateo's goal?

Piper works at a camera store. He is paid an hourly rate plus 16% commission on everything he sells. One week, he was paid $575 for working 20 hours and selling $1,500 worth of camera equipment. What is his hourly rate?

• $16.75

• $17.00

• $22.40

• $28.75

Tags

CCSS.7.NS.A.3

A pilot is flying an airplane at an elevation of 17,500 feet. She is increasing her elevation at a rate of 2,500 feet per minute. Which number line shows the solution set for the number of minutes the pilot could increase her elevation and be above 25,000 feet?

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B

A playground has a map with raised surface to help blind and visually impaired children navigate the equipment. The map has a scale of 1 centimeter to 2.5 feet. The map includes a rectangular sandbox that measures 2cm in length and 4 cm in width. What is the area of the playground's sandbox?

• 15 square feet

• 20 square feet

• 30 square feet

• 50 square feet

Tags

CCSS.7.G.A.1

Blake plays football. Last year, he averaged 280 passing yards per game during his team's 9-game season. The school record for total passing yards in season is 3,114 yards. if Blake increases his passing yards per game by 25% during this year's 9-game season, how close will he come to breaking the record?

• He will break the record by 29 yards

• He will break the record by 36 yards

• He will be 369 yards short of breaking the record

• He will be 531 yards short of breaking the record

Tags

CCSS.6.RP.A.3C

Tessa puts 50 marbles in a bag. The number of marbles of each color is shown in the table below.

Tessa reaches into the bag and randomly selects one marble. What is the probability that the marble Tessa selects is green?

• 1/50

• 1/20

• 2/5

• 2/3

Tags

CCSS.7.SP.C.7B

A fire department spent $900 to purchase new helmets and gloves. The amount included a 6% sales tax. What was the price of the equipment, to the nearest dollar, before tax?

• $846

• $849

• $854

• $894

Tags

CCSS.6.RP.A.3C