Algebraic Properties
What algebraic property is represented by the equation below?
a + (-a) = 0
The Additive Inverse
18 + (-18) = ?
0
-5(1/3)
-1 and 2/3
The constant of proportionality is synonymous with what kind a rate?
A unit rate.
What is 0.75 as a percentage?
75%
What algebraic property is represented in the equation below?
a(b + c) = ab + ac
Distributive Property
A spelunker was exploring a cave and descended 125 feet into a cave. Then he ascended 175 feet, where is the spelunker now?
50 feet above sea level
What is 2/9 as a decimal?
0.2 Repeating
What is the formula for constant of proportionality?
K= y/x
What is the radius of a circle with an area of approximately 452.39 square units?
12
What algebraic property is represented below?
(a + b) + c = a + (b + c)
Associative Property
The highest point in Asia is Mount Everest at 8850 meters. The shore of the Dead Sea, the lowest point in Asia, is about 410 meters below sea level. What is the difference between these elevations?
9260 meters
What is the difference of negative three and negative one-fifth?
Negative two and four-fifths
What is the percent representation of the following fraction, 22/25?
88%
What does the term bimodal mean?
Two modes
What algebraic property is represented in the equation below?
az = za
Commutative Property
The temperature is -2 degrees Celsius. If the temperature decreases by 15 degrees Celsius, what is the new temperature?
-17 degrees Celsius
What is negative three fifths divided by negative six?
one-tenth
Tiffany is painting her house. She paints 1 sq ft of the wall in 10 minutes. How many square feet will Tiffany paint in 5 hours?
30 square feet
A polygon with two pairs of parallel and congruent lines has a perimeter of 200 yards. The length is 60 + x and the width is x.
What is the value of x?
20
What algebraic property is represented in the equation below?
a + 0 = a
Additive Identity
The elevation of the city of New Orleans is 11 feet below sea level. During a drive from New Orleans to Biloxi, Mississippi a car increased its elevation 30 feet. What is the new elevation of the car?
19 feet above sea level
Graham’s monthly bank statement showed the following deposits and withdrawals:
−$5.20, $32.75, −$22.04, −$6.50, $27.11
If Graham’s balance in the account was $27.93 at the beginning of the month, what was the account balance at the end of the month?
$54.05
Eduardo is walking at a pace of 0.75 kilometres per every 3/10 of an hour. Calculate Eduardo’s speed in meters per hour.
2.5 km
What is the sum of all numbers 1-1000?
Sum = {1,2,3...1000}
500,500