Properties
Conversions
Rewriting Equations
Word Problems
Types of Numbers
100
Which property is being displayed: a+b=b+a
Commutative Property of Addition
100
1 mile is equivalent to how many feet?
5,280 feet
100
Solve for a: ax+b=c
ax+b=c ax=c-b a=(c-b)/x
100
What should be your let statements for two consecutive integers? Consec. even integers? Consec. odd integers?
n, n+1 n, n+2 n, n+2
100
Is the set {1,3,5,7} closed under addition?
No! Counter Example: 7+1=8
200
Which property is being displayed: a+(b+c)=(a+b)+c
Associative Property of Addition
200
An elephant weights 3 tons. How much does this elephant weigh in pounds?
6,000 pounds
200
Write in function form: 2x+y=-10
y=-2x-10
200
Sally and Katie are two years apart, but Sally is younger than Katie. Their sum age is 46. What should your let statements be?
Let k= Katie's age let k-2= Sally's age
200
Describe the number 46. Is it a counting number, a whole number, an integer, rational, and/or irrational?
46 is a counting number, a whole number, an integer, and a rational number
300
Which property can be used to solve the following equation: 4a=8
Division property of equality OR Multiplication property of equality.
300
46 gallons is how many pints?
368 pints
300
Express in terms of b: A=1/2 bh
(2A)/h=b
300
Johnny is 5 inches taller than Rachel. What should your let statements be?
Let r= rachels height Let r+5= johnny's height
300
.323232323232 is rational or irrational?
Rational
400
Which property is being shown: 6a=923 (1/6)6a=923(1/6)
Multiplication Property of Equality
400
A parking lot is 100 yards long. What is the length of 3/4 of the parking lot, in feet? Hint (1 yard=3 feet)
225 feet
400
Solve for b1 in terms of A, h, and b2: A=1/2 (b1+b2 )h
(2A/h)-b2
400
The width of a rectangle is 6 less than 5 times the length. The perimeter of the rectangle is 68 meters. Find the length rounded to the nearest tenths place.
6.7 meters
400
True or False: Irrational numbers are real numbers
True!
500
Which property is being shown: -n=6 n=-6
Multiplicative Property of -1
500
Last year, Nick rode his bicycle a total of 8000 miles. To the nearest yard, Nick rode an average of how many yards per day? (hint: How many days does 1 year have?)
38, 575 yards per day
500
Solve for r: V=1/3 (pi)(r^2) h
r=√(3v/(pi)h)
500
Find three consecutive even integers. The second number is three times the third and the first is 2 less than 4 times the third. The sum of the 3 numbers is 54. Find each number
Let statements: 4a-2=1st, 3a=2nd, a=third. Answer: a=7, 3a=21, 4a-2=26. Ck: 7+21+26=54
500
True or False: The product of two irrational numbers is always irrational
False: Counter Example √5x√5
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