SATs
Numbers & Operations
Algebra and Functions
Geometry
Data Analysis, Stats, Probability
100

What is smart numbers?

The best number(s) to use when doing the plugin method. 

100

Line  is graphed in the xy-plane below.

If line  is translated up 5 units and right 7 units, then what is the slope of the new line?


A) 

B) 

C)

D)

What is answer choice B.


The slope of a line can be determined by finding the difference in the y-coordinates divided by the difference in the x-coordinates for any two points on the line. Using the points indicated, the slope is  Translating the line moves all the points on the line the same distance in the same direction, and the image will be a parallel line. Therefore, the slope of the image is

Choice A is not the correct answer. This value may result from a combination of errors. The student may misunderstand how the negative sign affects the fraction and apply the transformation as

Choice C is not the correct answer. This value may result from finding the slope of the line and then subtracting 5 from the numerator and 7 from the denominator.

Choice D is not the correct answer. This answer may result from adding  to the slope of the line.

100

(r4)3 / r6

What is r6 .

100
How many degrees are in a straight line?
180degrees
100

Angle less than 90 degrees. 

What is an acute angle.

200

What is the back-solving method?

Backsolve is an SAT math strategy. You start with C and solve once you find the correct answer you stop. Answer choices do not have variables and its usually ascending or descending.

200

What is 40% of 80?

What is 32.


(40/100) x 80 =32

200

if 2^2x=16, then x=

22*2 = 24 = 16.

 

200
If a square has a side of length .75, what is the perimeter of the square?
.75(4)=3
200

A line that meets another line at a 90 degree angle. 

What are perpendicular lines.

300

What is plug-in?

Plug-in is a math strategy that is use to find the correct answer. There are usually variables in the answer choices.

300

If  where  and  what is  in terms of


A)

B)

C)

D)

What is answer choice A



Multiplying both sides of the equation by the denominators of the rational expressions in the equation gives  The student should then divide both sides by 2 to isolate the  variable, yielding the equation

Choice B is not the correct answer. This equation may result if a student does not divide both terms by 2 when isolating  in the equation

Choice C is not the correct answer. This equation may result from the student not distributing the 4 when multiplying 4 and

Choice D is not the correct answer. This equation may result from solving  for  yielding  A student who does not understand the meaning of the variables may then switch them to match the answer choice.

300
the total cost in dollars, C, of repairing w watches is given by the function C(w)=2.5(w+1). How much more does it cost to repair 9 watches than to repair 3 watches?
substitute 9 for the w to get 25 and then substitute in 3 w to get 10 then subtract them 25-10=15
300
A triangle has a perimeter of 23. If the triangle had sides with lengths x-3, 2x-4 and x+2. What is the length of its longest side?
x-3+2x-4+x+2=4x-5 4x-5=23 +5 +5 4x=28 __ __ 4 4 x=7 2x7-4=10
300

What is the average (arithmetic mean), mean and mode of a student's grades on five tests if she earned a 95, 100, 93,93, 88 and 76?

What is 76 = mean, 93 = mode, and 93 = median. 


95+100+93+93+88+76= 545 /6 =90.83 - mean

76, 88, 93, 93, 95, 100 = 93 - mode

76, 88, 93, 93, 95, 100 = 93 - median

400

What is the difference between plug-in and backsolve?

What is picking a number to put into the equation when you have variables. You also have to plug-in every answer choice while in backsolve you start with c and then determine whether you go up or down. You also choose a number to plug in to the variable. Once you find the correct answer you stop for backsolve. Backsolve - answer choices are either ascending or descending.

400

It takes 15 gallons of paint to fully cover 90 walls. At this rate, how many gallons of paint are needed to fully cover 6 walls?

What is 1.


15:90 - 50/90 = x/6 x=1


400
What is the slope of a line parallel to y=-3x+1
-3
400

What is the circumference of a circle that has an area of 36pie?

What is 12π.


6π = πr36 = r2

r=6       2π6      c=2πr

c=12π


400

The average (arithmetic mean) age of 5 people is 25. IF four of the people are 20 years old, how many years old is the fifth person?

What is 45.


(4x20+x)/5=25 80+x=25x5 80+x=125 -80 -80 x=45

500

How many questions are in the three sections of the Math SATs?

What is 54?

500

There are 400 boys and 300 girls in a certain school. If 25 percent of the boys are seniors and 20 percent of the girls are seniors, then how many seniors are there in the school?

What is 160.


((25/100)x400) + ((20/100)x300) =160

500
in the xy-plane, line m has the equation y=4x+k and contains the point (2,13). What is the value of k?
y=4x+k 13=4(2)+k -8 -8 5=K
500

If the length of two sides of an isosceles triangle are 4 and 7, what is the length of the third side?

It cannot be determined from the information given. 


We know that the unknown side must either be 4 or 7 but we cannot determine if it is 4 or 7 since an isosceles triangle has two equal sides.

500

A number between 1 and 25 is selected at random. What is the probability that the number is prime?

What is the 8/25?


Prime numbers:2, 5, 7, 11, 13, 17, 19, 23. 1 is not a prime number.

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