Grade 8 Matrix Addition & Subtraction Word Problems

A school is organizing a field trip. The cost for 3 students is represented by the matrix A = [[10], [15], [20]]. If 5 more students join, what will be the new cost matrix B after adding the costs for these students?

• [[10], [15], [20], [10], [15], [20], [10], [15], [20]]

• [[5], [10], [15], [20], [25], [30]]

• [[10], [15], [20], [25], [30]]

• [[10], [15], [20], [10], [15]]

In a bakery, the number of cakes sold in two days is represented by the matrix C = [[12, 15], [10, 20]]. If the bakery sells 5 more cakes on the first day and 3 fewer on the second day, what is the new matrix D after the adjustments?

• [[12, 15], [10, 20]]

• [[17, 15], [10, 20]]

• [[12, 12], [15, 20]]

• [[17, 12], [15, 17]]

A gym has two types of memberships: Basic and Premium. The number of each type sold is represented by the matrix E = [[30], [20]]. If they sell 10 more Basic memberships and 5 fewer Premium memberships, what is the new membership matrix F?

• [[35], [25]]

• [[30], [20]]

• [[50], [10]]

• [[40], [15]]

A store sells two types of shirts: T-shirts and Polo shirts. The sales for a week are represented by the matrix G = [[50, 30]]. If they sell 10 more T-shirts and 5 fewer Polo shirts, what is the new sales matrix H?

• [[65, 20]]

• [[55, 30]]

• [[50, 35]]

• [[60, 25]]

A farmer has two fields. The yield from each field is represented by the matrix I = [[200], [150]]. If the yield from the first field increases by 50 and the second decreases by 20, what is the new yield matrix J?

• [[250], [130]]

• [[200], [150]]

• [[250], [150]]

• [[200], [130]]

A car rental service has two types of cars: Sedans and SUVs. The number of each type rented is represented by the matrix K = [[25], [15]]. If they rent out 5 more Sedans and 3 fewer SUVs, what is the new rental matrix L?

• [[25], [18]]

• [[20], [10]]

• [[30], [15]]

• [[30], [12]]

In a library, the number of books checked out in two weeks is represented by the matrix M = [[40, 60]]. If 10 more books are checked out in the first week and 5 fewer in the second week, what is the new matrix N?

• [[50, 55]]

• [[50, 60]]

• [[45, 65]]

• [[55, 50]]

A concert venue has two sections: VIP and General Admission. The ticket sales are represented by the matrix O = [[100], [200]]. If they sell 20 more VIP tickets and 30 fewer General Admission tickets, what is the new ticket sales matrix P?

• [[100], [180]]

• [[110], [190]]

• [[120], [170]]

• [[130], [200]]

A factory produces two products: A and B. The production numbers are represented by the matrix Q = [[500], [300]]. If production of A increases by 100 and production of B decreases by 50, what is the new production matrix R?

• [[700], [250]]

• [[600], [250]]

• [[500], [300]]

• [[600], [300]]

A school is tracking the number of students in two grades. The numbers are represented by the matrix S = [[120], [130]]. If 10 more students enroll in the first grade and 5 leave the second grade, what is the new student matrix T?

• [[130], [130]]

• [[130], [125]]

• [[120], [130]]

• [[125], [125]]