Chapter 1:Unit 3. Math skills Required in this Course

Required Math Skills

1. Algebra: Algebra is used to solve equations by un-doing whatever is being done to an unknown variable. For example, if an equation has “x+2” then you would subtract “2” to solve for “x”.  Everything that is done to one side must be done to the other side of the equation as well.
2. Logarithm: logarithms are a way of counting of power of a base number.  If  then Y=b^x .  If no base is specified, it’s assumed to be 10.  A natural log (ln) uses the base of “e” (2.313).
3. Graphical Interpretation: A graph represents the relationship between two variables, either direct, inverse or exponential. A point on the line of the graph indicates the value of one variable with respect to the value of another variable.
4. Percentage Problem: Percents are a special kind of decimal. Most calculations involving percentages involve using the percent in its decimal form. This is achieved by dividing the percentage amount by 100. You may need to find the percent value of a number, find the percent rate of one number compared to another number, and find the original amount given the percent value and the percent rate.
5. Calculator tips: Ask your instructor on how to operate your calculator

Questions:

Q#1

1. Where can you find chemicals?

1. In laboratory
2. In grocery or hardware store
3. All around you and inside you
4. All of the above

Q#2

Which statement best defines chemistry?

1. The science that makes shampoo and drugs
2. The science that studies air and water pollution
3. The science that deals with reactions happening in laboratory
4. The science that connects properties of particles that compose matter with how things work in nature
5. All of the above

Q#3

According to the scientific method, what is a law?

1. A fact that cannot be changed
2. A model that gives insight to a natural process
3. An initial guess with explanatory power
4. A short statement that summarizes a large number of observations

Q#4

The graph below shows the value of one variable( along Y axis) as a function of its another variable(along X axis). What is the estimated value of Y when the value of X is= 3.2E-03?

The graph below shows the value of one variable( along Y axis) as a function of its another variable(along X axis). What is the estimated value of Y when the value of X is= 3.2E-03?

1. -8
2. -10
3. -12
4. None of the above

Q#5

What percent of 64 is 4?

a. 6.25

b. 2.56

c. 0.04

d. none of the above

Q#6

Solve the term AB/D= 36Y

for the term A.

a. A= 36YD/B

b. A= YD/36Y

c. A= 36YBD

d. none of the above

Q#7

18 is 40% of what?

a. 36

b. 2.125

c. 18

d. none  of the above

Q#8

1. The price of a pen can be determined by the equation: P = $2n, where P is the price and n is the number of pens. What is the constant of proportionality (unit rate)?

a. n

b. 1/2

c. 2

d. none of the above

Q.9

Find the constant of proportionality (k) for each linear relationship y=kx

11x= 77y

a. k=1/7

b. k= 7

c. k=11

d. all of the above

Q#10

You can bake 4 chocolate cakes every hour in your oven. Represent this relationship using an equation, table, and graph.