GEOMETRY & TRIGONOMETRY
What is the pythagoreom theorem?
What is a2+b2=c2
* Come on...you should know this by now
Based on the system of equations below, what is the value of the product xy?
4x-y=3y+7
x+8y=4
A. -3/2 B. 1/4
C. 1/2 D. 11/9
What is C. 1/2
* After combining liked terms in the first equation, multiply by 2 which gives 8x-8y=14. Add it to the second equation that will eliminate the y-terms and solve for x. Plug x into one of the equations for y, and multiply x and y for your final answer.
"In 1996, a loggerhead turtle called Adelita swam across 9,000 miles from Mexico to Japan, crossing the entire Pacific on her way. Wallace J. Nichols tracked this epic journey with a satellite tag."
Underlined, "tracked" most nearly means
A. searched for
B. traveled over
C. followed
D. hunted
What is C. followed
* The context makes clear that Nichols followed Adelita's "epic journey with a satellite tag."
"The skin of all the mantas, for example, is embedded with tiny, toothlike "denticles."
Should the underline section be changed?
A. NO CHANGE
B. happen to be
C. were
D. are
What is A. NO CHANGE
* Use the Odd One Out strategy. Since is, is a singular pronoun it means the answer has to be a singular pronoun as well. The other answers are plural pronouns; therefore, no changes should happen.
What is the difference between
Affect and Effect
What is Affect is a verb; Effect is a noun.
or
What is Affect is the cause of; Effect is the result of.
James is 5 ft tall and his shadow is 8ft long. At the same time of day, a tree casts a shadow that is 32ft long. How tall is the tree?
A. 29ft B. 25ft
C. 20ft D. 18ft
What is C. 20ft
* Rewrite as fractions, 5/8 and x/32. Set equal to each other and cross multiply, divide each side to solve for x.
How many solutions does the given system of equations have?
y=4x+3
y=4x+1
A. Zero
B. Exactly one
C. Exactly two
D. Infinitely many
What is A. Zero
* One Sol.=Different x-terms and same/diff. constants
* No Sol.=Same x-terms and diff. constants
* Infinite Sol.=Same x-terms and same constants
"Former astronaut Ellen Ochoa says that although she doesn't have a definite idea of when it might happen, she ______ that humans will someday need to be able to live in other environments than those found on Earth. This conjecture informs her interest in future research missions to the moon."
Which choice completes the text with the most logical and precise word or phrase?
A. demands B. speculates
C. doubts D. establishes
What is B. speculates
* Use the strategy Fill and Compare, fill in the blank with a word you already know and fits best with the text then compare it to the words to pick the one that sounds the same.
* Or fill the blank with the either of the four choices and pick the one that makes the most sense.
"The transportation planner's job, might involve conducting a traffic count to determine the daily number of vehicles traveling on the road to the new factory."
Should the underline section be changed?
A. NO CHANGE
B. planner's job
C. planners job,
D. planners job
What is B. planner's job
* It correctly uses an apostrophe to indicate possession and does not introduce anu unnecessary punctuation.
What is the difference between
Its and It's
What is Its is a possessive noun and It's is a contraction.
*It's is just "it is!" Pay attention to apostrophes in the writing & language part.
In the Triangle ABC, angle A=45, hypotenuse=10. What is the area?
A. 20 B. 25
C. 50 D. 75
What is B. 25
* Since it's a 45-45-90 triangle, it is safe to say a2+b2=c2 can be written as 2x2=102. Solve for x and plug it into the formula, (1/2)bh, to find the area.
How many distinct real solutions does the given equation have?
(x-5)2+1=0
A. Zero
B. Exactly one
C. Exactly two
D. Infinitely many
What is A. Zero
* After expanding the equation, use the discriminant formula.
* b2-4ac > 0 = 2 Real Sol.
* b2-4ac = 0 = 1 Real Sol.
* b2-4ac < 0 = No Real Sol. , 2 Complex Sol.
"She had an eye to see and an ear to hear: he could show her things and tell her things, and taste the bliss of feeling and all he imparted left long reverberations and echoes he could wake at will."
Which descriptive best fit with this paragraph?
A. fitness for labor
B. vivacious youth
C. receptive nature
D. freedom of worry
What is C. receptive nature
* The person describes the girl as open, or receptive, to ideas and experiences, a list of traits they admire in the girl.
"They're controlled wirelessly by a company in Germany, and monitors, in Rjukan and on the mountain via webcam."
Should the underline section be changed?
A. NO CHANGE
B. Germany and, monitored in Rjukan, and
C. Germany and monitored in Rjukan, and,
D. Germany and monitored in Rjukan and
What is D. Germany and monitored in Rjukan and
* Use the Cross Out strategy. Cross out the text in between the commas and try reading it. Pick the one that makes sense.
What is the definition of assesses?
A. to approach B. to access
C. aspects of D. to evaluate
What is D. to evaluate
If sin(z) = -7/25 and tan(z)<0, what is cos(z)?
A. 7/24 B. -24/25
C. -24/7 D. 24/25
What is D. 24/25
* Use SOHCAHTOA. Draw a picture to help! Since tan(z)<0 and sin(z) is a negative, the triangle must be in Quadrant IV, therefore it is positive 24/25.
The expression 0.7x represents the results of decreasing a positive quantity x by what percent?
A. 70% B. 30%
C. 7% D. 3%
What is B. 30%
* By using this formula, 1± % we can get to 0.7 by doing 1-0.3=0.7, therefore it will show a 30% decrease.
"Mother did not spend all her time in paying dull visits to dull ladies, and sitting dully at home waiting for dull ladies to pay visits to her. She was almost always there, ready to play with the children, and read to them, and help them to do their home-lessons. Besides this she used to write stories for them while they were at school, and read them aloud after tea, and she always made-up funny pieces of poetry for their birthdays and for other great occasions."
According to the text, what is true about Mother?
A. She wishes that more ladies would visit her.
B. Birthdays are her favorite special ocassions.
C. She creates stories and poems for her children.
D. Reading to her children is her favorite activity.
What is C. She creates stories and poems for her children.
* Referring back to the text, it is mentioned multiple times she reads, creates, and made-up stories and poems for her children. The only answer with strong evidence for support.
"Although nearly no one knows what this artist looks like, there are many who knows his work."
Should the underline section be changed?
A. NO CHANGE B. like. There
C. like; there D. like there
What is A. NO CHANGE
* TIP: If you see answers with "." and ";" they are most likely wrong as they are pretty much the same thing.
* When reading the text there is a pause between the words which will need a comma.
What is the definition of underscores in SAT term?
A. Cross out B. Emphasize
C. Ignore D. Look over
What is B. Emphasize
Which of the following is equivalent to the trigonometric expression?
sec(x)-sec(x)sin2(x)
A. sin(x) B. cos(x)
C. tan(x) D. sec(x)
What is B. cos(x)
* Factor out the GCF, sec(x)(1-sin2(x)). Know your trigonometry properties to rewrite the equation, (1/cos(x))(cos2(x)) = cos(x)
The equation 9x+5=a(x+b), where a and b are constants, has no real solutions. Which of the following must be true?
I. a=9 II. b=5 III. b≠5/9
A. None B. I only
C. I and II only D. I and III only
What is D. I and III only
* Rewrite as 9x+5=ax+ab. Since the equation has no real solutions the x-terms has to be the same, therefore a=9. Plug in a, 9x+5=9x=9b. The constants have to be different to stay consistent with no real solutions, therefore b≠ 5/9 since it is multiplying with 9.
"Thou, with stroke of mighty pen, Hast told the joy and mirth, and read the hearts and souls of men as cradled from their birth. The language of the flowers, thou hast read them all, and e'en the little brook responded to thy call."
Which choice best states the main purpose of the text?
A. To praise a certain writer for being especially perceptive regarding people and nature.
B. To establish that a certain writer has read extensively about a variety of topics.
C. To call attention to a certain writer's careful and elaborately detailed writing process.
D. To recount fond memories of an afternoon spent in nature with a certain writer.
What is A. To praise a certain writer for being especially perceptive regarding people and nature.
* The first half of the text is very in tune with the "souls of men." The mention of reading all the language of the flowers indicates they must be very knowledgeable with nature; therefore, they are in tune with both people and nature.
"Skills scops were valued as highly in Anglo-Saxon society that they were sometimes granted extra rewards for their talents. There are, generally, several records of royals giving land for deserving scops."
Should the underline section be changed?
A. NO CHANGE
B. scops after the scops proved they were worthy of such a gift.
C. scops when the royals felt they had earned it.
D. scops when the scops proved worthy.
What is A. NO CHANGE
* When in doubt, go for the shortest answer.
* You want to pick the shortest answer to avoid the risk repetition, conciseness, and redundancy.
* The shorter the better.
What is the difference between
Fewer and less
What is fewer is used to refer to number among things that are counted, and less is used to refer to quantity that are measured.
or
What is fewer is used when talking about things or people in the plural sense, and less is used in things that are uncountable.