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2022: NY Grade 7 - Math

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Last updated 4 months ago
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From the New York State Education Department. New York State Testing Program Grade 7 Mathematics Test. Internet. Available from https://www.nysedregents.org/ei/math/2022/english/2022-released-items-math-g7.pdf; accessed 17, June, 2024.

From the New York State Education Department. New York State Testing Program Grade 7 Mathematics Test. Internet. Available from https://www.nysedregents.org/ei/math/2022/english/2022-released-items-math-g7.pdf; accessed 17, June, 2024.

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1.

Based on a weather report, the probability that it will rain tomorrow is 0.13. Which word describes the likelihood that it will rain tomorrow?

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2.

Two stores each advertise a discount on the same type of watch. At both stores, the original price of the watch was $35.00. Store A discounts the price of the watch by 20%. Store B discounts the price of the watch by 15%. How much less is the discounted price of the watch at Store A than the discounted price of the watch at Store B?

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3.

A spinner has five equal-sized sections colored blue, red, orange, yellow, and green. The arrow on the spinner was spun 50 times during an experiment.

The results are shown in the table. Based on the results, what is the experimental probability that on any one spin, the arrow will land on the red section?

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5.

The data set shown below represents the distribution of daily high temperatures in a city for 8 days.

79, 73, 72, 70, 72, 66, 81, 75

What is the median daily high temperature, in degrees Fahrenheit, in the city?

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7.

The cost for 10 ounces of organic blueberries is $2.70. Which equation can be used to determine x, the cost, in dollars, for 30 ounces of organic blueberries?

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8.

Which expression has the same value as the expression shown below? − \frac{3}{8}-\frac{7}{8}

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9.

A chef made 150 cups of chili and sold 60% of it. A serving size of the chili is 1\frac{2}{3} cup. How many servings of chili were sold?

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10.

At sunset, a thermometer had a reading of 4°F. During the night, the temperature decreased by 15°F. After the decrease, what is the total number of degrees that the temperature must change for the thermometer to read 0°F?

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11.

A gardener uses a total of 61.5 gallons of gasoline in one month. Of the total amount of gasoline, \frac{3}{5} gallons were used in his lawn mowers. How many gallons of gasoline did the gardener use in his lawn mowers in the one month?

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12.

A machine in a factory makes 2\frac{1}{4} pounds of nails in 1\frac{1}{2} hours. At what rate, in pounds per hour, does the machine make nails?

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13.

The table shows a proportional relationship between x and y. What is the constant of proportionality for the relationship between x and y?

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14.

Mr. Jensen purchased an airline ticket on a web site. The original price of the airline ticket was $473.00. He used a coupon code to receive a 20% discount. A sales tax of 12% was applied after the discount. What was the total purchase price of the airline ticket after the discount, including sales tax?

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15.

What is the value of 12.5-\frac{31}{2}+1\frac{1}{4}?

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16.

On a map, two cities are 2.8 inches apart. The map has a scale of 1 inch to 25 miles. How far apart, in inches, would the same two cities be on a map that has a scale of 1 inch to 40 miles?

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17.

Katelyn wants to buy a $75.00 skateboard. She has $25.00 saved so far. She mows lawns to make extra money and earns $20.00 for each lawn she mows. Which inequality can be used to determine the number of lawns, x, she needs to mow to have enough money to buy the skateboard?

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19.

What is the value of the expression below? -36 ÷ 9 + 3(-7) + 2

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20.

A cook uses a 1\frac{3}{4} teaspoons of salt to make 3\frac{1}{2} pounds of pasta. What is the unit rate, in teaspoons per pound, at which the cook uses salt to make pasta?

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21.

The expression 48y-16 represents the perimeter, in feet, of a square. Which expression represents the length, in feet, of each side of the square?

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22.

The equation y=4.3x can be used to determine the total cost, y, in dollars, of x pounds of apples. What does the number 4.3 represent in the equation?

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23.

Which expression is equivalent to the expression shown below? 2 + 3(2x + 5)

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29.

A student incorrectly simplifies an expression. The expression and the student's work at shown below.

5-\frac{40}{5}

Step A: 5+(\frac{-40}{-5})

Step B: 5+8

Step C: 13

In which step did the student first make an error? Be sure to include the correct value of the expression in simplest form in your answer.

Explain your answer.

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4.

Which expression is equivalent to -3(2x-8)+4x?

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6.

The menu at an ice cream store is shown.

How many different choices of one size, one flavor, and one topping can be made from the menu?

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18.

A coach compared the heights of the players on two different teams. The data set is shown in the table.

Based on these data, which statement is true?