Summer Assignment Honors Chemistry - Ridge PTO

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