SAT Strategies & Practice Problems
what should you circle in the reading section because it emphasizes a point or transition
but, and, semicolon
4x−6−2y=4y+8x+2 2x+3=11 Consider the system of equations above. If (x,y)left parenthesis, x, comma, y, right parenthesis is the solution to the system, then what is the value of x+y, plus, y? WHAT ARE THE STEPS TO SOLVING THIS PROBLEM
find x and simplify the long equation to find y
What do you do when a complex number (i) is on the bottom of the fraction
multiply by reciprocal of fraction
what is the answer if the slopes are perpendicular when comparing them for the value of k
k is any number
when trying to find x in a equation that is in a fraction and involves multiplying and addition or subtraction, what do you do first
add or subtract
A circle in the x, y-plane has its center at the point (−6,1). If the point (7,12) lies on the circle, what is the radius of the circle? Round the answer to the nearest tenth.
17
In golf, someone who completes a course in fewer strokes beats someone who completes it with more strokes. Par means the standard number of strokes it takes to complete a specific course. Amateurs generally require more strokes. Ayumi averages 1.5, point, 5 times par strokes per game, but her brother Daiki averages 1.75 par strokes per game. To make the game more even, Ayumi adds 18 strokes to her total when she plays against Daiki. Assuming both Ayumi and Daiki play average games, which inequality best represents the par, p, in a golf game where Ayumi beats her brother Daiki?
1.5p + 18 > 1.75p
what grammar tools are used to set off nonessential information
commas, dashes, parentheses
If two triangles are similar, then all their corresponding angles must be __________________
congruent
what is always the first step when a question asks for which value of k are there infinetely solutions to compare the slope
put in slope intercept form
what sentences do you look at when asked about the development of a passage
topic sentences of each paragraph
what is the equation for exponential growth
y=a(1+r)x
when a given equation is an exponential function of the form y=ab^x and there is a vertical stretch, then the first point for the function is __________
(0,a)
what is the formula for the area of a circular sector
A= 1/2thetar^2
Vendors at a craft fair pay $45 to rent a table for the day. Benjamin rents a table at the craft fair and sells 8 ounce jars of jam for $7.95 per jar. If it costs Benjamin $2.75 to make each container of jam, which of the following equations best models his profit, p, from one day at the craft fair if he sells n jars of jam? P = xn + ?
P = 5.20n - 45
P=23+10(h−1) People start waiting in line for the release of the newest cell phone at 5 a.m. The equation above gives the number of people, P in line between the hours,h, of 6 a.m and 11 a.m. when the doors open. Assume that 6 a.m. is when time h=1. What does the 23 mean in the equation above?
There are 23 people in line at 6 am
A random sample of international flights in 2013 showed that 79% of the flights arrived within 15 minutes of their scheduled arrival time, with a margin of error of 3% at a 95% confidence level. What is the best conclusion about the on-time rate for all international flights in 2013 is best?
between 76 and 82 arrived within 15 minutes of their flight
FANS WERE VERY EXCITED TO SEE THE FINAL INSTALLMENT OF THE ROYAL BATTLEGROUND TRILOGY. HUNDREDS OF EAGER VIEWERS lined up outside the movie theater days in advance. Which choice most effectively combines the two sentences at the underlined portion?
fans were so excited to see the final installment of the royal battleground trilogy that they
what should you do if the fractions are too complicated for when finding and ordered pair to find a number of solutions
find a common denominator
Urban environments and metropolitan areas are making gradual advances on natural wildlife HABITATS. THESE GRADUAL ADVANCES HAVE NEGATIVE CONSEQUENCES: some animals are perishing from habitat loss. Which choice most effectively combines the sentences at the underlined portion?
habitats, resulting in negative consequences
A linear equation is graphed to the left. Which of the following equations combines with the graphed equation to create a system of equations whose solution set is comprised of the points (−1,−5) and (3,3)? WHAT IS THE FIRST STEP IN SOLVING THIS PROBLEM
plug the points into each equation choice
5x−2y=6 10x−4y=c Which of the following choices of c will result in a system of linear equations with no solutions? WHAT ARE THE STEPS TO SOLVE THIS PROBLEM
put each in slope intercept form and set the y equal to each other
when a question asks how to increase the product by 1 unit, what do you do to the slope
reciprocal
what is the most important thing you can do to help you understand a passage in the reading
revise wording
What is the formula for the length of a circular arc
s=r theta
t−5=1/3 (u+15)−5 t=2/3(u+9) Which of the following accurately describes all solutions to the system of equations shown above? WHAT ARE THE STEPS TO SOLVING THIS PROBLEM
set each equation to t and set to each other and then plug into one of the equations
ay=1/4x 4x−6y=0 For what value of a does the above system of linear equations in the variables x and y have infinitely many solutions? WHAT DO YOU DO TO SOLVE THIS EQUATION
set them equal to each other
Which of the following represents all solutions (x,y) to the system of equations shown below? y=x−2 y=x^2−x−5 WHAT ARE THE STEPS TO COMPLETING THIS PROBLEM
substitute, get 2 x and plug in each to get y
when questions are asking question relating to the graph in passages, what should the answer relate to
the graph and passage
