math Flashcards
addition property of equality
adding the same number to each side of an equation gives an equivalent equation
subtraction property of equality
subtracting the same number from each side of an equation leads to an equivalent equation
how do you remove a fraction from one side of an equation?
multiply that fraction by its reciprocal and then multiply the other side of the equation by that same reciprocal
how many possible answers can there be to an algebra problem involving absolute values?
two, one involving negative x from zero
another involving positive x from zero
define ratio
comparing two quantities using division
define percent
percent is a fraction with a denominator of one hundred
what are three ways of writing ratios?
a to b, a:b, a/b
always read as “the ratio of a to b”
what is a proportion?
an equation indicating that two ratios are equivalent.
proportions are read as “a is to b as c is to d”
can be solved by isolating the variable
what is a trick for solving percent problems?
is/of = %/100
describe the process for solving linear equations
- solve for y
- make a table for the values of x and y
- substitute numbers in for x and solve for y
a. try to pick values that give both positive and negative values for y, thus giving a better impression of what the line looks like
what is the standard form for linear equations?
Ax+By=C, so long as both A and B are not zero
what is the other method for graphing lines?
finding the x and y intercepts
intercepts are where the lines meet the axis