Quiz about 7th Grade State Test Question (Hard)

Question 1

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?

Accepted Answer

1/9

Answer

9

Answer

2

Answer

1/2

Question 2

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?

Accepted Answer

$24.43

Answer

$19.55

Answer

$20.77

Answer

$28.09

Question 3

A map showing the Cattaragus Territory in New York uses a scale of 1 inch to 8 miles. Dale's house and Seneca Nation Beach are $$1\frac{1}{2}$$ inches apart on the map. How far apart would his house and Seneca Nation Beach be on the map if the scale was 1 inch to 6 miles

Accepted Answer

2 inches

Answer

$$1\frac{1}{8}$$ inches

Answer

$$1\frac{3}{4}$$ inches

Answer

4 inches

Question 4

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?

Accepted Answer

$$119.75\ +\ 2.25p\ \le500;\ p\le169$$

Answer

$$2.25\ +119.75p\le500;\ p\ \le416$$

Answer

$$\left(119.75+2.25\right)p\le500;\ p\le409$$

Answer

$$2.25p\ -\ 119.75\ \le500;\ p\le275$$

Question 5

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?

Accepted Answer

$16.75

Answer

$17.00

Answer

$22.40

Answer

$28.75

Question 6

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?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 7

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?

Accepted Answer

50 square feet

Answer

15 square feet

Answer

20 square feet

Answer

30 square feet

Question 8

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?

Accepted Answer

He will break the record by 36 yards

Answer

He will break the record by 29 yards

Answer

He will be 369 yards short of breaking the record

Answer

He will be 531 yards short of breaking the record

Question 9

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?

Accepted Answer

2/5

Answer

1/50

Answer

1/20

Answer

2/3

Question 10

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?

Accepted Answer

$849

Answer

$846

Answer

$854

Answer

$894

Question 11

During an experiment Natalie will spin the arrows on the fair spinners below.

Which answer represents the sample space for this experiment?

Accepted Answer

(A, A) (A,B) (A, C)

(B, A) (B, B) (B, C)

(C. A) (C, B) (C, C)

Answer

(A, B) (A, C)

(B, A) (B, C)

(C, A) (C, B)

Answer

(A, B) (B, C) (C, A)

(C, A) (A, B) (B, C)

(B, C) (C, A) (A, B)

Answer

(A, A)

(B, B)

(C, C)

Question 12

The graph below shows the proportional relationship between the area of a triangle, T, and the area of a rectangle, R, with identical base length and height.

Which equation represents the relationship between T and R?

Accepted Answer

$$T=\frac{1}{2}R$$

Answer

$$T=2R$$

Answer

$$R=\frac{1}{2}T$$

Answer

$$R=\frac{2}{T}$$

Question 13

What is the result when $$\frac{1}{8}x-2\frac{5}{7}$$ is subtracted from $$3\frac{1}{4}x+7\frac{1}{14}$$ ?

Accepted Answer

$$3\frac{1}{8}x+9\frac{11}{14}$$

Answer

$$3\frac{1}{8}x+4\frac{5}{14}$$

Answer

$$-3\frac{1}{8}x-4\frac{5}{14}$$

Answer

$$-3\frac{1}{8}x-9\frac{11}{14}$$

Question 14

Winston needs at least 80 signatures from students in his school before he can run for class president. He has 23 signatures already. He and two of his friends plan to get the remaining signatures during lunch.

If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?

Accepted Answer

$$3x+23\ge80$$

Answer

$$3x+80\ge23$$

Answer

$$3x+80\le23$$

Answer

$$3x+23\le80$$

Question 15

Every five years in March, the population of a certain town is recorded. In 1995, the town had population of 4,500 people. From 1995 to 2000, the population increased by 15%. From 2000 to 2005, the population decreased by 4%. What was the town's population in 2005?

Accepted Answer

4,968

Answer

4,527

Answer

4,995

Answer

5,382

Question 16

Ms. Gartland brought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Which equation could be used to find x?

Accepted Answer

$$12.25x+3.99=77.49$$

Answer

$$3.99\left(x+12.25\right)=77.49$$

Answer

$$3.99x+12.25=77.49$$

Answer

$$12.25\left(x+3.99\right)=77.49$$

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