Algebraic Reasoning

The total weight of a computer hard drive, a monitor, and a keyboard is 362 ounces.  The hard drive weighs 318 ounces and the monitor weighs 33 ounces.  Which equation represents the situation where k is the weight of the keyboard?

• 362 = 318 + 33 - k
• 362 = 318 + 33 + k
• 362 = 318 + k
• 362 = 318 - k

Larry wants to make a playlist with 1,520 songs. He has already downloaded 13 albums with 25 songs in each. How many more songs does Larry need?

• 1,558

• 1,195

• 325

• 1,845

A bakery makes 90 cakes every day. The bakery makes 135 more cookies per day than cakes. Which equation can be used to find the total number of cakes and cookies the bakery makes in one day?

• x=90+135

• x= 90+90+135

• x=90+90-135

• x=90-135

Daniel got a loan for car that cost $34,891. This first year he paid $1,282, and in the second year he paid $2,815. Which equation can be used to find the cost Daniel has left to pay?

• x = 34,891- 1,282 -2,815

• x = 34,891 + 1,282 + 2,815

• x = 1,282 + 2,815

• x = 1,282 - 2,815

Issac has 48 carnival tickets. Emilia has three times as many as Issac. Emilia then earned 9 more carnival tickets. Which equation can be used to find, t , the number of carnival tickets Emilia has now?

• 48 x 3 - 9 = t

• 48 x 3 + 9 = t

• 3 + 48 x 9 = t

• 3 + 48 + 9 = t

A train crew loaded pounds of coal on a freight cart. Each crew member loaded the same amount of loads.

Each load of coal weighed 38 pounds There are 49 crew members Then the coal is transported to a train yard to be separated equally into 7 trucks.

How many pounds of coal will be put into each truck?

• 1,862

• 872

• 266

• 109