Verified/ latest 2024/2025
terms - ✔️✔️12, -3, x(variable), 15y, 11xy, -4x^2, -a,
either a single number or variable, or numbers and variables multiplied together.
Terms are separated by + or − signs
Coefficients - ✔️✔️# associated with each of those terms is called coefficient(12, -3, 1,15, 11, -4, -1,
3
expression - ✔️✔️adding 1 or more terms together
linear equation - ✔️✔️equation has =sign. ex of linear eq: 4x+3=11
a linear equation is one that is dependent only on constants and a variable raised to the first power.
For example, y=6x+2y=6x+2 is linear because it has no squares, cubes, square roots, sines, etc. Linear
equations can always be manipulated to take this form:
ax+b=0
rule - ✔️✔️if you do something to one side of the equation, you must do it to the other
how to solve a linear equation-4 steps - ✔️✔️1.) get rid of parentheses&combine like terms
2.) get all terms w/ the variable on one side& all other terms to other side - ✔️✔️3.) isolate variable
by dividing
4.) check answer - ✔️✔️
percents - ✔️✔️per=dividing, cents=100, like in a dollar
, 41% over 100 =.41 - ✔️✔️take decimal place, move it two places to the right
solving percent equations - ✔️✔️"of"=multiply
"is"= equals - ✔️✔️"out of"=division
96% of what #is 72? - ✔️✔️"what" or "what #" = x(the unknown)
.96 times x =72
.96x over .96 =72 over .96, x= 72 divided by .96
x=75
7 is 4% of what #? - ✔️✔️7 = .04 times x
ratios - ✔️✔️A comparison of two quantities by division
proportions - ✔️✔️An equation stating that two ratios are equal.
unit ratio - ✔️✔️A unit rate where the denominator is one unit
cross products - ✔️✔️The product of the numerator of one ratio and the denominator of the other
ratio, can equal to each other and if they do, then it is proportional
unit conversions - ✔️✔️distance=yards, feet, meters, centimeters, millimeters, miles, kilometers
linear equations - ✔️✔️an equation between two variables that gives a straight line when plotted
on a graph
variable. 1st power. no second or higher power on any #s