Summer Assignment Honors Chemistry - Ridge PTO

Honors Chemistry Summer Assignment
Mrs. Mitchell and Mr. Smith
The goal of the following exercises is to enable you to preview the math
content of the Honors chemistry course in order to better focus your
efforts during the school year on the challenging concepts of chemistry.
Completing this assignment and understanding the concepts will help you
to master the basics of chemistry and identify potentially difficult
mathematical manipulations that you will encounter during the course of
the school year. Honors Chemistry is a fast paced course that requires you
to quickly master concepts and to be able to apply mathematics to
chemical questions..
Please familiarize yourself with the syllabus so you can see all that you will
learn and accomplish in Honors Chemistry.
Exponents Review
1. Express numbers in non-exponential form.
a. 10 4 = 10 X 10 X 10 X 10 = 10,000
The exponent tells you how many zeros.
b. 10 -3 = 1/10 3 = 1/1000 = 0.001
A negative exponent means that it is the inverse or reciprocal of the
number.
2. Working with Exponents.
a. When you multiply, the exponents are added.
When you are dividing, the exponent in the denominator is subtracted from
the exponent of the numerator.
10 a X 10 b = 10 a+b
10 a /10 b = 10 a-b
b. When numbers are either added or subtracted, the exponents
must be of the same order of magnitude.
c. When you raise an exponent to a power, the exponents are
multiplied.
(10 a ) b = 10 ab
3. Expressing a number in scientific notation.
When expressing a number in standard scientific notation, the coefficient
of the number must be one or greater but less than 10.
652 X 10 3 = 6.52 X 10 5
Order of Operations
Combine operations inside the parenthesis first.
Do logs and then powers.
Do multiplications and divisions next.
Additions and subtractions are performed last.

Algebra Review
a. It is important to be able to simplify algebraic terms when fractions
are involved.
b. Whenever there is a fraction in the denominator, it can be
simplified by inverting it.
c. Often terms may be simplified by canceling the numerator and
denominator by a common factor. Units can be manipulated just like
algebraic terms.
d. When it is necessary to solve for “x” you need to rearrange a
given equation so that you end up with “x” on one side of the equation. If
“x” is in the denominator, you must first cross multiply in order to move
“x” to the numerator.
Answer the following questions showing all work.
1. Convert the following into Standard Scientific Notation:
a. 348 ______________________
b. 96386 ____________________
c. 0.00053 ___________________
d. 0.54 ______________________
e. 1.00007 ___________________
2. Expand the following numbers.
a. 3.22 X 10 5 _________________
b. 5.12 X 10 -3 _________________
c. 0.21 X 10 4 __________________
d. 3.11 X 10 -2 __________________
e. 6.22 X 10 1 __________________
3. Perform the following manipulations.
a. (4.6 X 10 5 ) divided by (4.1 X 10 7 )
b. (3.5 X 10 -3 ) multiplied by (7.3 X 10 7 )
c. (9.1 X 10 2 ) + (4.2 X 10 3 )
d. (5.2 X 10 -2 ) + (2.4 X 10 2 )
e. (4.2 X 10 3 ) - (3.6 X 10 2 )
4. Solve for x in the following problems.
a. (x – 10)/ 75 = 8
b. (9 – a)/x = 81
c. (4 - a)/x 2 = 62
d. (x – 10) = 2/ x 2
e. a + 52 = 72 – x 2

Conversion Problems and Dimensional Analysis
We will be using dimensional analysis (also called factor label and unit
conversions) to solve chemistry problems. This method makes use of
ratios called conversion factors. Conversion factors are ratios of two
quantities that are equal to one another.
To solve a problem using dimensional analysis, the given measurement
must be multiplied by a conversion factor that allows the units given to
cancel so that the desired unit remains.
Let us convert 72 inches to feet.
72 inches X 1 foot/12 inches = (72/12) feet = 6 feet
Perform the following conversions using dimensional analysis. You may
have to look up the conversion factors. Show your work.
1. 7 yards to feet
2. 5.3 centimeters to meters
3. 87 m 3 to cm 3
4. 743 feet to miles
5. How many gallons of gasoline can be purchased for $18.00 if the cost of
gasoline is $3.53 per gallon?
6. A student experiences a growth spurt and measures 5 feet and 10
inches. Express his height in meters.
Become familiar with the metric units of Kilo, Hecto, Deka, Deci, Centi, and
Milli and how they can be converted from one to another. Dimensional
analysis can be used for these conversions.
The following problems will enable you to fine tune your math skills and
experience the level of difficulty that you will encounter during the school
year in Honors Chemistry. Please show all work and circle your answer.
1. If speed is equal to distance divided by time, and time is equal to
distance divided by speed, what is distance equivalent to?

2. What speed is required to travel 90 miles in 3 hours?
3.On a planet far away a zik is equal to gifs times snarks. When this
relationship is solved for gifs what would you obtain?
4. Fill in the blank: 30 is to 5 as 300 is to ________.
5. Express the speed of light 300000000 m/sec in standard scientific
notation.
6. Multiplying a number by 1000 simply moves the decimal two places to
the _______ while dividing by 100 simply moves the decimal _______
places to the _________.
6. How much money is required to purchase 5 packs of gum @ 35
cents/pack? Assume 7% sales tax.
7.If a dollar is worth 0.03 bars of pressed latinum, how many dollars will
you get in exchange for 3000 bars?
8. What is each of the following fractions equivalent to in decimals?
a. 1/3 ______________
b. ¼ _______________
c. 2/3 _______________
d. ¾ _______________
e. 4/5 _______________
9. What is the answer for ½ divided by ¼ ?

10. Assume that there are 28 students in your class and that 8 receive a
grade of “A” for the first marking period. What percentage of students
received this grade?
11. Kenny is two years older than John. The sum of their ages is 74. What
are their ages?
12. If (x + 6)/Y = Z, What does x equal?
13. Construct a graph of distance vs. time for 3 hours to represent a car
traveling at a speed of 60 mph.
14. Construct a graph of speed vs. time for three hours to represent a car
traveling at a speed of 60 mph.
15. How would you solve for x in the following term?
7/(4 + x) = 29 + b/c