Vocabulary
Define Integers.
What is a whole number from a set of negative, non-negative, positive, and 0 numbers?
Start at -3 and move 4 units to the right.
What is -3+4=1?
Solve -6+(-14).
What is -20?
The additive inverse of -1/3
What is 1/3?
Pierre has a bank account with some money in it. They withdraw $15, and after the withdrawal, their balance is –$8. Solve for how much money Pierre had in their account before the withdrawal.
What is $7?
Define the Constant of Proportionality
What is the fixed, unchanging unit rate or ratio that connects two numbers in a proportional relationship? 𝑘 = 𝑦/𝑥
Start at 5 and move 8 units to the left.
What is 5-8=-3?
Solve 3-(-12).
What is 15?
Rewrite -7-(-8) using the additive inverse.
What is -7+8?
Jenny got a $100 bonus for the holidays. She decides to save 1/4 of the money, then takes her sister to dinner. The bill was $56.73. How much money does she have left?
What is $18.27?
Define Rational Numbers.
What is any number that can be expressed as a fraction composed of two integers, and the denominator is not 0?
or
What are all integers, terminating decimals, and repeating decimals?
Start at -6 and move 2 units to the left.
What is -6+(-2)=-8?
Solve -4x2.5.
What is -10?
The multiplicative inverse of -3/4
What is -4/3?
The current temperature at the North Pole is -10℃. As the sun sets, the temperature will fall 8℃ per hour. Show the problem as an equation, and what the temperature will be after 4 hours.
What is y=(-8)x-10 and -42℃?
Define Additive Inverse.
What is a number that, when added to a given number, results in a sum of zero?
a+(-a)=0
Start at 2 and move 9 units to the left.
What is 2-9=-7?
Solve -18x(1/6).
What is -3?
Rewrite 8÷4 using the multiplicative inverse.
What is 8 x 1/4?
A large tank is currently filled with 1050 gallons of water. It is draining at a rate of 42 gallons per minute. After 12 1/2 minutes, how much water will be left in the tank?
What is 525 gallons?
Define Multiplicative Inverse.
What is a number that, when multiplied by the original number, results in the multiplicative identity, which is 1?
(a/1) x (1/a)=1
Start at –4 and subtract –7.
What is -4-(-7)=3?
Solve -5(9-15 1/2). *Hint 15 1/2 is a mixed number
What is (65/2), 32 1/2, or 32.5?
Rewrite and solve -2/3[4-(-20)]using the inverse properties. *Hint: the [brackets] work the same as parentheses
What is -16?
A submarine descends 42 meters in 6 minutes. Solve for how long it will take for the submarine to descend to 300m and show your answer as a mixed number.
What is 42 6/7 minutes?