PSSA Released 7th Gr 2023

Find the value of the expression without a calculator: -0.31 • 4.2 ÷ 2

• -0.651

• -0.093

• 0.093

• 0.651

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One of the tables 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?

• The relationship in table Q is proportional because it can be described by the equation y = 2x

• The relationship in table R is proportional because it can be described by the equation y = 3x

• The relationship in table Q is proportional because it can be described by the equation y = x - 1

• The relationship in table R is proportional because it can be described by the equation y = x - 2

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?

• y = 109.50x
• y = 122.64x

• y = 109.50x + 56

• y = 122.64x + 56

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?

• 2.4 miles

• 2.8 miles

• 3.0 miles

• 4.2 miles

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?

• The 20 would decrease by 5

• The 0.15 would change to 0.10

• The entire expression would be multiplied by 2/3

• The entire expression would be multiplied by 0.10

A rectangular prism has a length of x units, a width of y units, and a height of 3 units. This expression 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 area, in square units, of the prism?

• Combine 3x and 3y because they are like terms

• Apply the distributive property and multiply only the xy term by 2

• Combine the three terms in the parentheses because they are all like terms

• Apply the distributive property and multiply each of the three terms in the parentheses by 2

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?

• c = n + 82

• c = 12n + 70

• c = 840n

The equation shown 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?

• $1,284

• $1,539

• $5,534

• $5,789