Properties
Which Property states that multiplying by 0 always equals 0?
Property of Zero
True or False: Real Numbers can either be rational or irrational.
True
Solve the Equation: y + 11 = 29
y=18
Solve the equation: -2(4g - 3) = 30
g=-3
A factory makes 150 gallons of ice cream in 3 hours. How many gallons of ice cream can it make in 5 hours?
x=250
Which property states that the order of values does not matter? Example: a+b=b+a
Commutative Property
Name all the categories the number "32" falls into.
rational, integers, whole numbers, counting numbers
Solve the equation: 8x=96
x=12
Solve the equation: 6 + 5(m +1) = 26
m=3
On a blueprint, 2 inches represents 15 feet. If a bedroom is 18 feet long in reality, how many inches long should it be on the blueprint?
x=2.4 or 2 2/5
Which property states that a number stays the same?
Example: a+0=a
Identity Property
What is the most specific category the number "0.32950203763024845093" falls into?
Irrational
Solve the equation: 4w + 8 = 16
w=2
24 = 13n - 4n + 9
n=5/3
If 4 tickets to a movie theater cost $48, how much will 7 tickets cost at the same rate?
$84
Which property states that you use the opposite to "cancel" a value? Example: a+(-a)=0
Inverse Property
What is the most specific category the number "0" falls into?
Whole Numbers
Solve the equation: 5 = z/-4 - 3
z=-32
-15 = -6(3 + x) + 4(x - 6)
x= -27/2
A recipe that serves 6 people requires 3 cups of flour. If you want to scale the recipe up to serve 14 people, how many cups of flour do you need?
7 cups
Which property states that if a=b, then b=a?
Symmetric Property
Are natural numbers always/sometimes/never rational numbers?
Always
Solve the equation: d-8/-2=12
d=-16
3y - 2 3/4(1/2y - 4) = -2
y=-8
A smartphone battery charges from 10% to 25% (a gain of 15%) in 12 minutes. At this exact same rate, how many total minutes will it take to charge a completely dead phone up to 100%?
x=80