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PSSA Grade 7 Math

Last updated 12 months ago
19 questions
Required
1

An expression is shown below.


What is the value of the expression?

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Which number line models the expression 1\frac{1}{2}-\frac{1}{4}?

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Gerry is packing dishes into boxes to be shipped. It takes Gerry 2\frac{3}{4} hours to pack 4\frac{1}{2} boxes. At this rate, how many boxes of dishes can Gerry pack in 1 hour?

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One of the tables shown below represents a proportional relationship between x and y.


Based on the table that represents a proportional relationship between x and y, which statement about the relationship is true?

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A restaurant buys the eggs it uses from a farmer.
  • The cost to buy 50 dozen eggs from the farmer is $109.50.
  • The restaurant buys 8 dozen eggs each day from the farmer.
  • The restaurant buys the eggs 7 days each week.

Which equation can be used to determine the total amount (y), in dollars, the restaurant spends on the eggs it buys from the farmer for x weeks?

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1

The set of ordered pairs below represents the relationship between the number of steps (x) Mr. Davino takes and the distance (y), in miles, he walks.

{(528, 0.25), (1584, 0.75), (2640, 1.25), (3696, 1.75)}

Based on the ordered pairs, which distance is closest to the distance Mr. Davino walks by taking 8,900 steps?

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Michael enrolls customers for a food delivery service. For each customer he enrolls, he earns $20 plus 15% of the value of the customer's first order. The expression below represents Michael's earnings, in dollars, based on the value of a customer's first order (x).

20 + 0.15x

How would the expression change if Michael earned 10% of the value of each customer's first order instead of 15% of the value?

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A rectangular prism has a length of x units, a width of y units, and a height of 3 units. The expression shown below represents the surface area, in square units, of the prism.

2(xy + 3x + 3y)

Which statement describes how to create an equivalent expression to represent the surface area, in square units, of the prism?

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Ms. Carter makes shirts. She charges $12 per shirt. She also charges $70 per order regardless of the number of shirts ordered. Which equation could be used to calculate the total cost (c), in dollars, of an order of n shirts?

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The equation shown below can be used to determine the total income (m), in dollars, a salesperson makes in a month based on the total sales amount (s), in dollars, the salesperson generates that month.

m = 4,250 + 0.06s

Last month, the salesperson generated a total of $21,400 in sales. What was the salesperson's total income last month?

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Segments from 12 different lines from the rectangular prism shown below.


Which statement about the lines that form the rectangular prism is true?

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Two parallel lines are intersected by a third line as shown below.


Angle PSQ measures 92\degree. Which of the remaining angles formed by the three lines must also measure 92\degree?

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A circle has a circumference of 36\pi inches. What is the area, in square inches, of the circle?

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A sample of 8 pitchers of skim milk and 8 pitchers of whole milk are in a refrigerator. The table below lists the amount of calcium, in milligrams, in each pitcher of milk.


Based on the information shown in the table, which statement about the distribution of calcium in skim milk and the distribution of calcium in whole milk is true?

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1

A crate contains green, red, and yellow apples. Information about the number of apples of each color in the crate is listed below.
  • green: 24
  • red: 15
  • yellow: ?
One apple is randomly selected from the crate. The probability of the apple being red is \frac{1}{3}. How many yellow apples are in the crate?

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Dorian and Sarah are the only two students running for class president. There are 311 votes in the election. Every vote is for either Dorian or Sarah. Which outcome is certain to happen?

Gavin, Sara, and Frank are each typing a book report.
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1

Gavin can type \frac{1}{2} page of his book report in 5\frac{3}{4} minutes.

What is Gavin's typing rate, in pages per minute?

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The graph shown below can be used to determine the number of pages of her book report that Sara has typed based on the amount of time, in minutes, she has been tying.


One point on the graph has an x-coordinate of 1.

What does this point represent in terms of Sara's typing rate?

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2

Frank's book report will be 3 pages long. He has 40% of his book report typed. He can type at a rate of \frac{1}{8} page per minute.

How much more time, in minutes, does Frank need to finish typing his book report? Show or explain all your work.