URI Math Placement Exam (Latest 2023/ 2024 Update) Questions and Verified Answers| 100% Correct| Grade A

URI Math Placement Exam (Latest 2023/ 2024 Update) Questions and Verified Answers| 100% Correct| Grade A

URI Math Placement Exam (Latest 2023/
2024 Update) Questions and Verified
Answers| 100% Correct| Grade A
Q: Exponent properties
Answer:
-negative exponent = one over original number to the original power (except positive power)
-fractional exponent = denominator root of original number
-numerator remains as exponent to original number
-anything to power of 0 = 1
-anything to power of 1 = itself
-multiplying equivalent variables with exponents:
-add exponents
-dividing equivalent variables with exponents:
-subtract exponents
Q: Negative exponent
Answer:
One over original number to the original power (except positive power)
Q: Fractional exponent
Answer:
-take denominator root of original number
-numerator remains as exponent to original number
Powered by https://learnexams.com/search/study?query=

Absolute value
How far away a number is from zero
-whatever the answer is, but positive

Absolute value brackets in equation
-take out brackets
-turn into two equations; one positive answer, one negative
-solve for x for both equations
-two answers

Adding fractions
-find least common denominator
-multiply each numerator by however much it’s denominator was multiplied
-add new numerators, keep denominator
-SIMPLIFY

Subtracting fractions
-find least common denominator
-multiply each numerator by however much it’s denominator was multiplied
-subtract new numerators, keep denominator
-SIMPLIFY

Quadratic formula
x= -b + or – radical (b squared – 4ac) all over 2a

Multiplying fractions
multiply through
(numerator x numerator) over (denominator over denominator)
SIMPLIFY

Dividing fractions
Keep. Change. Flip
-KEEP first fraction
-CHANGE division sign to multiplication sign
-FLIP second fraction
-multiply through
-SIMPLIFY

Fraction to a power
If fraction in parentheses:
-the whole fraction times itself x many times
-multiply through
If no parentheses:
-only the number with the exponent is effected

Factoring
-how and what signs to use
SUM CENTER
-find two numbers that add to middle term and multiply to outside term
-if second sign in original equation is positive, then both signs in parentheses are same as first sign in equation
-if second sign is negative, then both signs in parentheses are different
-final answers are opposite of signs in parentheses

Exponent properties
-negative exponent = one over original number to the original power (except positive power)

-fractional exponent = denominator root of original number
-numerator remains as exponent to original number

-anything to power of 0 = 1
-anything to power of 1 = itself

-multiplying equivalent variables with exponents:
-add exponents

-dividing equivalent variables with exponents:
-subtract exponents

Negative exponent
One over original number to the original power (except positive power)

Fractional exponent
-take denominator root of original number
-numerator remains as exponent to original number

to the power of zero
one

to the power of one
itself

multiplying variables with exponents
add

dividing variables with exponents
subtract

slope
M =
y2 – y1
over
x2 – x1

finding equation of line given two points
-find slope
-using y=mx+b: plug in slope, and x and y from either ordered pair
-solve for b

solve for x in fractions
-get x fraction alone
-clean up other side
-if x is in denominator, flip both sides of equation
-multiply both sides by denominator of x

f(x) = x squared ?
Function “F” takes “X” and turns it into X squared

calculating functions
-replace all functions with output
-clean up and simplify
-if h isn’t there, a = 0

shifting graphs
y = Asin ( Bx + C ) + D

A = vertical stretch
B = horizontal stretch
-bigger number = squish
C = horizontal shift
-positive = shift left
D = vertical shift

Logs
FAE
-first
-answer
-exponent

Log and ln properties (3)
-multiplication inside = addition outside
-division inside = subtraction outside
-exponent inside = move exponent to front as multiplier

5 radical 4
4 to the power of 1/5

angle theta
SOHCAHTOA
simplify

find inverse of function
1) stick y in for f(x)
2) switch y and x
3) solve for y
4) stick f^-1(x) in for y

solve for x with log
-change exponential form into log form
-get x alone

natural log
ln (log naturel)
-lne to the power of x = x

method of completing the square
-put x and half of b into parentheses squared
-square b/2, add or subtract how much to get to original c
-put that number outside parentheses
-keep the sign in the parentheses same as sign in equation