Math Terms Flashcards
Identity
The identity symbol ≡ shows that two expressions are always equivalent.
Linear expression
A linear expression is one where the highest power is 1. For example, 2x + 5 and a + 2b are linear expressions, but 2x^2 + 5 is not a linear expression.
What is a hectare?
A hectare is a measure of area, 10000m2 and 0.01km2
How do you identify if two portions are in direct proportion?
plotting them as a graph gives a straight line through the origin (0,0)
when one quantity is zero, the other quantity is also zero
what are trends?
Line graphs can help you to identify trends in the data. The trend is the general direction of the change, ignoring the individual ups and downs.
What are compound measures?
Compound measures combine measures of two different quantities. Speed is a measure of distance travelled and time taken. It can be measured in metres per second (m/s), kilometer per hour (km/h), or miles per hour (mph)
Linear relationships
For a linear relationship the points on a graph form a straight line. When the points are not in a straight line the relationship is non-linear.
If there is a question asking if a chart is misleading, make sure to look out for
No title; no labels or key; percentages add up to
more than 100; sectors are not in proportion.
What is experimental probability
You can estimate the probability og an event using the results of an experiment. This is called finding the experimental probability. experimental probability = frequency of the event / total frequency
What is the relative frequency
For a set of data, the relative frequency of a value = frequency of value / total frequency. You can calculate the expected frequency of a value in a larger set of data.
what is a proportion
A proportion of a whole can be written as a fraction, a decimal or a percentage.
how to work out percentage increase?
work out the difference. between the two numbers being compared.
divide the increase by the original number and multiply the answer by 100.
in summary: percentage increase = increase ÷ original number × 100.
how do you find the original value of something that has been increased by a percentage?
formula : originalValue = newValue / (1 + percentageIncrease/100)
What is the formula for compound interest?
n is the amount of years
amount = initial amount * ( 100 + Interest rate / 100)^n
Alternate angles
When a line crosses two parallel lines it creates a ‘z’ shape. In side the Z shape are alternate angles. Alternate angles are equal.