Rational number
Integer Operation
Expressions
Word Problems 2
Challenge Round
100

Find the equivalent expression to

  -8 -( -4 ½ )

-8 + 4 1/2

100

5+(−3)=?

2

100

Which expression is equivalent to 

       -7(y - 2)?

-7y+14

100

A submarine is at -200 feet. It rises 150 feet. What is its new depth?

-50feet

100

1 cake needs 2 ¾ cups of flour. How much flour is needed for 5 cakes?

13 3/4 

200

Solve 

-1/3 (6- 4/3)

-1 5/9

200

-7+ (-2)

-9

200

Simplify:

-6(2a + 5b) - (a + 4b)

-13a-34b

200

A hiker climbs 237 feet up and then 237 feet down. What is the net change in elevation?

0

200

Which of the following statements BEST describes a situation in which opposite quantities combine to make zero?


  1. Shawna made 8 cups of soup and divided the soup into 8 containers.

  2. Marco missed 4 questions on a test in which each question was worth 4 points.

  3. Melanie deposited $10 in her savings account and then withdrew $10 from the account.

  4. Peter scored 2 goals in the first period of a hockey game and 2 goals in the second period.

3

300

(3 1/8) (2/5) / 2 1/4

5/9

300

-4-(-6)

2

300

Simplify:

4(x + 3) - 10 + 6x

10x +2

300

The temperature was -5°F in the morning and rose by 12°F. What is the new temperature?

7 degrees

300

 Mr. Owusu started the week with $32.00 in his Venmo account. Here are his transactions for the first few days: 

He sent $6.75 to his friend, Ms. Kapoor, to split the cost of a new movie rental.

He received $10.00 from his neighbor, Mr. Minyard, for helping him wash his car.

He sent $11.55 to his sister, Ms. Laidley, to pay her back for lunch they had together.

He sent $4.70 to his classmate, Ms. Banerjee, for his share of a shared online game purchase.

Determine the total change in Owusu's Venmo balance for the week. Was it an overall increase or decrease?

$59 increase

400

A scuba diver is 4 ⅔ feet below the surface of the water. She then dives another 2 ½ feet down. What is the scuba diver’s location in relation to the surface of the water?

-7 ⅙

400

12-15

-3

400

Simplify:

14x + 10 - 3(x + 2)

11x + 4

400

A bank account has -$45 and a deposit of $60 is made. What is the new balance?

$15

400

 Paula has a bank balance of $ -70. She deposited $ 40, withdrew $25, deposited $ 15 and withdrew $52. What is her balance now?

-$92

500

Is 5/11 a repeating or terminating decimal?

repeating

500

−8+13−5=?

0

500

Simplify 

-4( 5x+6y)-(x+4y)

-21x-28y

500

A diver descends 30 feet, then ascends 18 feet, then descends another 12 feet. What is the final depth?

-24 feet

500

What is the distance in height between a seagull flying at 150 m above the surface of the ocean and a shark swimming 40 m below the surface?

190