COLLEGE PLACEMENT TEST-MATH WITH
COMPLETE SOLUTIONS 100% 2023/2024
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
common denominator
A denominator that is the same in two or more fractions.
clear the fraction
multiply whole equation by CD
x-coordinate
the first number in an ordered pair
x-coordinate
corresponds to a number on the x-axis
COMPLETE SOLUTIONS 100% 2023/2024
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
common denominator
A denominator that is the same in two or more fractions.
clear the fraction
multiply whole equation by CD
x-coordinate
the first number in an ordered pair
x-coordinate
corresponds to a number on the x-axis
