Math 108x unit 1

Sum of, means:

+

Difference of, means:

-

Is (as,was,were,are), means:

=

Variable

A factor that can change

proposition

A statement that is either true or false

Fallacy

An argument based on an error in reasoning

logical reasoning

Analyzing and evaluating arguments to draw a valid conclusion

True or false? Assumption is true and conclusion is false.

F

After sales tax, the final price of a sweater is 5% more than the price on the price tag. If the final price was $15.25, find the price on the price tag

Final price= price tag x (1 + .05) $15.25= price tag x 1.05 15.25/1.05 Price tag= $14.52

After sales tax, the final price of a sweater is 5% more than the price on the price tag, the price tag on the sweater is $35, what is the final price of the sweater?

Final price= price tag x (1 + .05) Final price= $35 x 1.05 $35 x 1.05 = $36.75 is the final price

Percentile

It measures the % of values that are the same as or less than the specified value

Unit conversions: Large unit - Smaller unit mean you need to?

Multiply

Translate- "the mortgage on my new home is 10% more than the mortgage on my old home" to math symbols

New mortgage= old mortgage x (1+0.10)

Conclusions are only guaranteed to be true, if?

Our assumptions are true

Translate- "the sum of my power bill and my phone bill is eight percent of my income" to math symbols

Power bill + phone bill= 8/100 x income

Solve- the sales tax is 6% of the original price. We know the sales tax is $0.90. Find the original price

Sales Tax= 6/100 x original price .90= .06 x original price Isolate "original price", so divide both sides by .06 .90/.06 x original price $15 = original price

We need to purchase a new printer with an original price of $64.99. The sales price is 30% less than the original price of $64.99. Find the sales price and the dollar amount saved.

Sales price= (1-.30) x original Sales price= .70 x 64.99 Sales price= $45.49 Amount saved- $19.50

Solve- the sales tax is 6% of the original price. The original price is $10.00. Find the sales tax.

Sales tax= 6/100 x original price Sales tax= .06 x $10 Sales tax= $0.60

standard deviation

Summary of how much values vary from the mean of a set of data.

True or false? Assumption is false and conclusion is false.

T

True or false? Assumption is false and conclusion is true.

T

True or false? Assumption is true and conclusion is true

T

Translate- "the sales tax is 6% of the original price" to math symbols

The sales tax= 6/100 x the original price

Identify the 5 steps of the Quantitative Reasoning Process in order

Understand the problem Identify key variable & make key assumptions Apply quantitative tools Make an informed decision Evaluate your reasoning

conditional statement

a statement that can be written in if-then form

assumption

a thing that is accepted as true or as certain to happen, without proof.

Unit conversions: Small unit - Larger unit means you need to?

divide

quotient of, means

divide

Percent of, means:

divide by 100

Product of, means:

x