2023 PSSA Grade 7 Mathematics Item and Scoring Sampler

An expression is shown below. What is the value of the expression?

• -0.651

• -0.093

• 0.093

• 0.651

Tags

CCSS.7.NS.A.3

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

• 11/18

• 1 u 3/4

• 1 u 7/11

• 2 u 1/4

Tags

CCSS.7.RP.A.1

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?

• 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.

Tags

CCSS.7.RP.A.2C

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

Tags

CCSS.HSF-BF.A.1A

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

Tags

CCSS.7.RP.A.3

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.

Tags

CCSS.HSA-SSE.A.1A

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?

• 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.

Tags

CCSS.6.EE.A.3

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

• c = n/12 + 70

Tags

CCSS.HSF-BF.A.1A

Segments from 12 different lines form the rectangular prism shown.

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

• Line AB intersects line CG.

• Line CD intersects line EF.

• Line AD and line FG are not parallel, and they do not intersect.

• Line CD and line FG are not parallel, and they do not intersect.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

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

• 12π

• 72π

• 324π

• 1,296π

Tags

CCSS.7.G.B.4