College Placement Test-Math
Questions and Answers
terms - ANSWER-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 - ANSWER-# associated with each of those terms is called coefficient(12, -
3, 1,15, 11, -4, -1, 3
expression - ANSWER-adding 1 or more terms together
linear equation - ANSWER-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 - ANSWER-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 - ANSWER-1.) get rid of parentheses&combine
like terms
2.) get all terms w/ the variable on one side& all other terms to other side - ANSWER-3.)
isolate variable by dividing
4.) check answer - ANSWER-
rule: multiplying 2 powers together - ANSWER-(a^m)^n = a^m times n
rule: - ANSWER-a^m / a^n = a^m-n
for exponents division is subtraction
polynomials - ANSWER-monomial=1 term
binomial = 2 terms
trinomial= 3 terms
polynomial=4 and above(but also includes everything)
, degree - ANSWER-sum of powers on variables
like terms - ANSWER-Terms that contain the same variables raised to the same power.
when multiplying polynomials, remember to - ANSWER-distribute and use FOIL method
FOIL - ANSWER-first, outer, inner, last terms
rule - ANSWER-a^m/ a^n = a^m-n
rule: - ANSWER-a^-n = 1/a^n
ex: 3^-5 = 1/3^5
rule - ANSWER-1/a-n = a^n
rewrite using pos. exponents - ANSWER-5x^2z^-3/ y-4 = 5x^2y^42z^3
scientific notation - ANSWER-A mathematical method of writing numbers using powers
of ten.
basic factoring - ANSWER-factoring is backwards multiplication
GCF (Greatest Common Factor) - ANSWER-the greatest common factor between terms
factoring x^2 + bx + c &how to start w/trinomial and end up w multiplication of 2
binomials - ANSWER-use FOIL method
percents - ANSWER-per=dividing, cents=100, like in a dollar
41% over 100 =.41 - ANSWER-take decimal place, move it two places to the right
solving percent equations - ANSWER-"of"=multiply
"is"= equals - ANSWER-"out of"=division
96% of what #is 72? - ANSWER-"what" or "what #" = x(the unknown)
.96 times x =72
.96x over .96 =72 over .96, x= 72 divided by .96
x=75
Questions and Answers
terms - ANSWER-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 - ANSWER-# associated with each of those terms is called coefficient(12, -
3, 1,15, 11, -4, -1, 3
expression - ANSWER-adding 1 or more terms together
linear equation - ANSWER-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 - ANSWER-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 - ANSWER-1.) get rid of parentheses&combine
like terms
2.) get all terms w/ the variable on one side& all other terms to other side - ANSWER-3.)
isolate variable by dividing
4.) check answer - ANSWER-
rule: multiplying 2 powers together - ANSWER-(a^m)^n = a^m times n
rule: - ANSWER-a^m / a^n = a^m-n
for exponents division is subtraction
polynomials - ANSWER-monomial=1 term
binomial = 2 terms
trinomial= 3 terms
polynomial=4 and above(but also includes everything)
, degree - ANSWER-sum of powers on variables
like terms - ANSWER-Terms that contain the same variables raised to the same power.
when multiplying polynomials, remember to - ANSWER-distribute and use FOIL method
FOIL - ANSWER-first, outer, inner, last terms
rule - ANSWER-a^m/ a^n = a^m-n
rule: - ANSWER-a^-n = 1/a^n
ex: 3^-5 = 1/3^5
rule - ANSWER-1/a-n = a^n
rewrite using pos. exponents - ANSWER-5x^2z^-3/ y-4 = 5x^2y^42z^3
scientific notation - ANSWER-A mathematical method of writing numbers using powers
of ten.
basic factoring - ANSWER-factoring is backwards multiplication
GCF (Greatest Common Factor) - ANSWER-the greatest common factor between terms
factoring x^2 + bx + c &how to start w/trinomial and end up w multiplication of 2
binomials - ANSWER-use FOIL method
percents - ANSWER-per=dividing, cents=100, like in a dollar
41% over 100 =.41 - ANSWER-take decimal place, move it two places to the right
solving percent equations - ANSWER-"of"=multiply
"is"= equals - ANSWER-"out of"=division
96% of what #is 72? - ANSWER-"what" or "what #" = x(the unknown)
.96 times x =72
.96x over .96 =72 over .96, x= 72 divided by .96
x=75
