What is a reduced or simplified fraction?
Give an example.
A reduced or simplified faction is writing the relationship in the smallest whole number possible as a fraction.
8/16 = 1/2
100
What is a proportion?
A proportion is an equation saying two ratios are equivalent.
100
What is a Percent?
What is the equation to find the percent?
A ratio that is equivalent to part/whole, but compares a number to 100.
part = %
whole = 100
100
What is an example and definition for Additive Inverse?
An Additive Inverse is when two numbers that are opposites, and have a sum of ZERO.
(-9) + ( 9) = 0
100
What is a Rational Number?
Any number that can be written as a fraction with a numerator and denominator that are integers and the denominator is NOT equal to 0
200
What is the definition of Equivalent?
Give an example.
Equivalent means that it looks different but is the same quantity or relationship.
5-2=3
4/5 = 8/10
10 dimes = $1.00
200
What is a Proportional Relationship?
What happens if x doubles?
The relationship (y/x) is always a constant. It is the set of all equivalent ratios y/x.
If x doubles, y doubles. X and Y always change by the same multiplier.
200
What is a Percent Equation?
What is the equation for this?
A Percent Equation is the proportional relationship represented by a constant percent (y=mx).
part = percent * whole
200
Solve this problem.
14 + (-8)
+ + + + + + + + + + + + + +
- - - - - - - -
6
200
What is an integer?
Provide an example.
All the whole number and their opposites.
23 -23
300
What is the Least Common Multiple mean?
Give an example for the numbers (4, 12)
The Least Common Multiple (LCM) is the smallest multiple of the numbers. A LCM is NEVER smaller than the biggest number!
1 * (4, 12)
2 * 8 24
3 * 12 36
LCM is 12
300
What is a Linear Relationship?
Draw an example.
When you plot all (x,y) points in a relationship and the form a straight line.
300
What are taxes?
What is the equation?
Taxes are money owed to the government, which are figured as percent of earnings or sales.
Taxes = percent * (earnings or spendings)
300
What is the reciprocal and opposite of the following numbers:
2 -3/5 -12
What do Fractions, Decimals, and Percents all represent?
The same quantity...in different languages..
400
What is a Ratio?
What are the 3 different ways you could write a ratio for 3 dogs to 5 cats.
The multiplicative relationship or comparison of different quantities. Quantities can be measured or counted.
3d to 5c
3:5
3/5
400
What is a Proportional Line?
Draw an example.
A proportional line:
*Goes through the origin (0,0)
*Is straight (Linear)
*Has a slope y/x that is constant unit rate.
400
What is Percent of Change?
What is the equation?
Percent of Change is the percent something increases or decreases from its original measure.
change = %
Original 100
400
What does subtraction mean?
Solve the problem.
-12 - 6
Subtraction is the same as adding the opposite.
-12 + (-6) = -18
400
Write/draw 2.5 on a number line, as a percent, and as a fraction.
250%
250-100 = 500/200 = 5/2
500
What is a Unit Rate? Give an example
What is a Unit Price? Give an example
A Unit Rate is a rate for ONE UNIT of a given quantity. An example would be 50 mph or 3 pencils/package
A Unit Price is the unit rate or cost of ONE ITEM. The price for one. An example would be $1/movie or $7.25/hour.
500
What is the Constant of Proportionality (unit rate).
What is the constant rate of the following:
x y
2 6
3 9
4 12
5 15
The constant multiplier (y=mx). It is the constant ratio y/x=m or constant unit rate.
M = 3
500
Solve:
What is 270% of 60? 46 is what percent of 107?
270% = part
100% 60
500
What are the rules for multiplying and dividing the following:
Multiply Same Signs
Multiply Different Signs
Divide Same Signs
Divide Different Signs
Solve this:
-12 * 2 -6 * -4 12/(-3)
Multiply Same Signs = Positive
Multiply Different Signs = Negative
Divide Same Signs = Positive
Divide Different Signs = Negative
-12 * 2 = -24 -6 * -4 = 24 12/(-3) = -4
500
What is Percent Error?
What is the equation?
Solve this problem....
Estimate Actual Value
19 24