Multi-step Problems with All Operations

Keesha has a bank account. She spent $70 from her account for groceries. She earned $100 babysitting and deposited it into her account. After these transactions, her account balance was $126.

Which number sentence could be used to find a, the amount of money Keesha had in her account before these transactions?

• a - 70 + 100 = 126

• 126 + a = 100 + 70

• (100 - 70) - a = 126

• 126 - 70 + 100 = a

Twenty of Erin's friends each agreed to donate $5 to her fundraiser. Her parents agreed to donate $50.

Which equation can be used to determine d, the total amount of money Erin raised for her fundraiser?

• 20 × 5 + 50 = d

• 20 + 5 + 50 = d

• 20 ÷ 5 + 50 = d

• 20 × 5 = d + 50

At Lincoln Elementary School, the fifth-grade students have a total of 325 pets. 220 of the pets are dogs. 30 of the pets are rodents. The rest of the pets are cats.

Which equation could be used to determine c, the number of pets that are cats?

• 325 + (220 + 30) = c

• 325 – (220 + 30) = c

• c + 325 = 220 + 30

• c - 325 = 220 - 30

Irma received $45 for her birthday. She purchased movie tickets and drinks for herself and for her friend. Each movie ticket cost $7. Each drink cost $4. Irma wrote an equation to represent m, the amount of money she had left after the movie outing.

m = 45 – [(2 × 7) + (2 × 4)]

How much money did Irma have left after the movie outing?

• $39

• $51

• $23

• not here

Three friends rode their bikes last week. Christine rode her bike 27 kilometers. Philip rode his bike 12 kilometers less than Christine. Nathan rode his bike 3 times as far as Philip.

Which equation represents n, the distance in kilometers Nathan rode his bike?

• (27 + 12) ÷ 3 = n

• (27 − 12) × 3 = n

• (27 − 12) ÷ 3 = n

• (27 + 12) × 3 = n

Mr. Lorenzo gave his 2 sons $50 to buy a cooler. The total cost for the cooler is $44. Mr. Lorenzo told his sons that they could each have an equal share of the change they receive. The equation shown can be used to determine s, the amount of money each son should receive in dollars.

s = (50 − 44) ÷ 2

What amount of money is represented by s?

• $28

• $6

• $19

• $3

Dr. Smith provides checkups for employees of a company. She charges a $500 fee plus $10 for every employee who receives a checkup.

Which equation can be used to find c, the amount Dr. Smith charges to provide checkups for 30 employees?

• c = 10(30) − 500

• c = 500 + 30 + 10

• c = 10(30) + 500

• c = 500(30) + 10

Mr. Fernández packed 31 red apples and 41 green apples into a box for a customer. He packed 8 boxes like this. Mr. Fernández used this equation to find x, the number of apples he packed into all the boxes.

x = (31 + 41)8

How many apples did Mr. Fernández pack into the boxes?

• 576

• 568

• 80

• 10,168

At a party a magician charges $35 plus an additional $2 for every child at the party.

Which equation can be used to determine m, the number of dollars the magician charges for a party that has 16 children?

• 35(2) + 16 = m

• 35(2) − 16 = m

• 35 − 16(2) = m

• Not here

Leah made 25 bracelets on Friday and 7 bracelets on Saturday. On Sunday, she sold all of the bracelets to 4 stores. She sold the same number of bracelets to each store.

Which equation can be used to find b, the number of bracelets Leah sold to each store?

• (25 − 7) ÷ 4 = b

• (25 + 7)4 = b

• (25 − 7)4 = b

• (25 + 7) ÷ 4 = b