03/22 Drill

The price of a laptop is decreased by 10% to $360. What is its original price?

• $320

• $380

• $400

• $450

Answer explanation

Let 𝑥 be the original price.

If the price of a laptop is decreased by 10% to $360,

then:

1) 90% of 𝑥 = 360

2) 0.90𝑥 = 360

3) 𝑥 = 360 ÷ 0.90 = 400

55 students took an exam and 11 of them failed. What percent of the students failed the exam?

• 20%

• 40%

• 60%

• 80%

What is the median of these numbers? 4, 9, 13, 8, 15, 18, 5

• 8

• 9

• 13

• 15

Answer explanation

Write the numbers in order: 4, 5, 8, 9, 13, 15, 18

The median is the number in the middle, which is 9.

5 less than twice a positive integer is 83. What is the integer?

• 39

• 41

• 42

• 44

Answer explanation

1) Let 𝑥 be the integer. 2𝑥–5 = 83

2) Add 5 both sides: 2𝑥 = 88

3) Divide both sides by 2: 𝑥 = 44

Simplify the following: 4 + 2 x 6

• 48

• 26

• 16

• 18

Answer explanation

Following the order of PEMDAS, multiplication comes first.

1) Multiply 2 x 6 = 12.

2) Add 4 + 12 = 16.

A theater sold tickets for three movies. The table shows the number of tickets sold for each movie.

What was the total number of tickets the theater sold for these three movies?

• 476

• 366

• 376

• 473

Answer explanation

Add all the tickets the 3 theaters have sold to have your answer.

143 + 158 + 175 = 476.

George started a coin collection. His dad gave him 75 coins. Each month he will add 20 coins to the collection.

Which equation can be used to find y, the total number of coins in George’s collection after x months?

• y = 75x + 20

• y = 20x + 75

• y = 75x - 20

• y = 20x - 75

Answer explanation

X represents the number of months that have passed, and so we multiply by 20 because each month, George receives 20 coins.

We add 75 because George began his collection with 75 coins.

y = 20x + 75

What is the volume of this rectangular pyramid in cubic feet?

• 96ft³

• 18ft³

• 64ft³

• 192ft³

Answer explanation

To find the volume of a rectangular/square pyramid, you must multiply the l x w x h, then divide by 3.

6 x 8 x 4 = 192

192 / 3 = 64

Which equation is true when c = 3?

• 2c + 8 = 31

• 5(7 − c) = 32

• 9 - 6c = 0

• 4(c + 2) = 20

Answer explanation

Replace c with 3 and solve the equation until you receive a correct answer.

4(c + 2) = 20

4(3 + 2) = 20

4(5) = 20

4 x 5 = 20 This is correct!

Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters in envelopes.

Which equation best represents y, the total number of letters Natasha puts in envelopes in x hours if she continues at this rate?

• x = y + 42

• y = x + 42

• x = 42y

• y = 42x

Answer explanation

x represents the number of hours Natasha has spent putting letters in envelopes. She goes at a rate of 42 envelopes per hour, so that is why we multiply 42 by x.

y will represent the total amount of letters Natasha has enveloped, so the complete equation is y = 42x.