23-24 PSSA Math 7 Item Sampler

An expression is shown below. -0.31 • 4.2 ÷ 2 What is the value of the expression?

• -0.651

• -0.093

• 0.093

• 0.651

Which number line models the expression 1 1/2 – 1/4 ?

• 
• 
• 
• 

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 3/4

• 1 7/11

• 2 1/4

One of the tables shown 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. 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.

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

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?

• $1,284

• $1,539

• $5,534

• $5,789