PLAYER a S (ANSWERS)

PLAYER A

SUPER GENIUS

On the number line above, the numbers a and b are the same distance from zero. Level *** What is a + b? Explain how you know.

GENIUS The sum of two integers is 2, and their difference is 6. What are the two integers? Level ** Write an equation to prove your answer.

ADVANCED A research team aboard an underwater research vessel descends 1,500 feet beneath Level ** the surface of the water. They then rise 525 feet and descend again 350 feet. Where is the vessel now located? Write an expression to represent the statement.

BALLER The highest temperature recorded on Earth was 136°F, while Level ** the lowest was −129°F. What is the range of temperatures recorded on Earth?

PROFICIENT Barnes & Noble has 30 copies of Divergent. On Monday, it sells 6 copies and on Level ** Tuesday, it sells 3 copies. On Wednesday, it receives a shipment of 24 copies and also sells 8 copies. How many copies of the book does Barnes & Noble still have left? Write an expression to represent the statement.

NOVICE

Level * NOVICE

Level * ROOKIE

Level * START HERE

Level * PLAYER B

SUPER GENIUS A number line is shown below. The numbers 0 and 1 are marked on the line, as are two other numbers a and b. Level ***

Which of the following numbers is positive? Choose all that apply. Explain your reasoning. 1) a + 1 2) a – 1 3) −a 4) a + b 5) b – a 6) a + b + 1

GENIUS The sum of two integers is −12, and their difference is 2. Level ** What are the two integers? Write an equation to prove your answer.

ADVANCED The boiling point of water is 212°F, while -460°F is the absolute lowest Level ** temperature. Find the difference between the two temperatures.

BALLER The elevation in Death Valley is −282 feet at the Dead Sea is Level ** −1,348 feet. What is the change in elevation between Death Valley and the Dead Sea?

PROFICIENT In Buffalo, New York, the temperature was -12°F in the morning. The temperature Level ** then increased by 7°F in the afternoon and then dropped 10°F at night. What was the nighttime temperature? Write an expression to represent the statement.

NOVICE

Level * NOVICE

Level * ROOKIE

Level * START HERE

Level * PLAYER A’s (ANSWERS)

SUPER GENIUS

a + b is equal to zero. Since a and b are the same distance from zero, they are Level *** opposites and the sum of opposites is always zero.

GENIUS 4 and -2 Level *** 4 + -2 = 2 and 4 – (-2) = 6

ADVANCED -1,500 + 525 – 350 = -1,325 feet. Level ** The vessel is now located 1,325 feet below the surface of the water.

BALLER

Level ** The difference in temperatures is 265°F.

PROFICIENT 30 – 6 – 3 + 24 – 8 = 37 books left Level ** Barnes & Noble now has 37 copies of Divergent left. NOVICE -10 Level *

NOVICE 19 Level *

NOVICE 0 Level *

ROOKIE -3 Level *

START HERE -6 Level * PLAYER B’s (ANSWERS)

SUPER GENIUS

1) a + 1 2) a – 1 3) −a 4) a + b 5) b – a 6) a + Level *** b + 1 negative negative positive negative positive positive

GENIUS -5 and -7 Level *** -5 + -7 = -12 and -5 – (-7) = 2

ADVANCED

Level ** The difference between the two temperatures is 672°F.

BALLER

Level ** The change in elevation between Death Valley and the Dead Sea is 1,066 feet.

PROFICIENT -12 + 7 – 10 = -15 Level ** The nighttime temperature in Buffalo was -15°F. NOVICE -9 Level *

NOVICE -1 Level *

NOVICE -9 Level *

ROOKIE 6 Level *

START HERE 1 Level *