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mathematics
mcgraw hills conquering sat math

McGraw Hills Conquering SAT Math 2nd Edition Robert Postman, Ryan Postman - Solutions

What is the value of x? 15 6 V11 x
If a > b, which of the following statements is true?I. RT > RSII. ST > RSIII. RT > STA. IB. IIC. IIID. I and IIE. II and III R aᵒ S 60⁰ b° T
What is the value of x?A. 110B. 70C. 50D. 40E. 30 20 to 110° 17.0 201
a + b + c + d = A. 360B. 230C. 180D. 130E. 90 a b° 50° dº
ΔABC is an equilateral triangle and ΔADC is an isosceles triangle. If AD = 12 what is the area of the shaded region? A 30° B D C
Find the slope of the linear function f(x) given that f(4) = 8 and f(−6) = 2.
f(x) = 3x + x2 − 4x, f(2) =
f (x) = 2x − 4. If f (x) = 8 then x =
f(x) = 3x2 − 7 and g(x) = 2x3 − 4x + 2. g[ f (2)] =
The graph of f(x) = x3 − 2 is shown below. Which of the choice is the graph of g(x) = (x + 3)3 − 6? Graph of f(x) = x³ - 2 H ◄||||||||||||||||||||||>
Carolyn works at an accounting firm. Her starting salary was $1,000 per week. She received a 7% raise each year. At this raise increase, what will her weekly salary be, rounded to the nearest dollar, after 10 years?
The slope of the line below is 3/2 What is the y-intercept? (0,5) (2,0) +
The fish population in a lake triples every year for 6 years. If the final population is 3,645, what was the initial fish population?
The cost of operating a Frisbee company in the first year is $10,000 plus $2 for each Frisbee. Assuming the company sells every Frisbee it makes in the first year for $7, how Frisbees must the company sell to break even?A. 1,000B. 1,500C. 2,000D. 2,500E. 3,000
The graph of f (x) is shown below, f (3) =A. 2B. 1C. 0D. −1E. −2 x++
The graph of f (x) is shown below. If f (x) = 0, x =A. 3B. 2C. 0D. −1E. −2 +X
The water level in a bay changes with the tides. The tides go through a full cycle every 12 hours, with one low and one high tide. Which of the following graphs shows the water level in the bay during a 24-hour period starting with the high tide? А. B. Tide Height Tide Height Time Time
f(5) = 15 and g(x) = f (x + 2) − 5. g(3) =
If the midpoint of A̅B̅ is (7,2), and A = (a,−5) and B = (−2, b), what are the values of a and b?
What is the midpoint of A = (6,2) and B = (−3,−4)?
What is the distance between A = (5,−3) and B = (8,3)?
Solve the system of equations for x and y? -3x - 2y = 8 5x + y = 3
y2 - x2/x2 - y2 A. 1B. −1C. 0D. 2E. −2
If |2x + 7| ≤ 13, what are the possible values of x?
If | 4x − 12| + 15 = 19, what are the possible values of x?
3a + 4b = 5. If a = 4, b = ?
If 2x2 − 2x = −5x + 14, what are the possible values of x?
Factor 50x2 − 72.
Factor 27x2 − 72xy + 48y2.
Simplify (−3x2 + 7x + 5)(x − 2) + (3x − 4)(x + 8).
c2/5 = 4, c =
2-n = 1/256 , n =
x−3 = 1/8 ,x =
93 × 272 = 3n, n =
If the average of 6 evenly spaced numbers is x, what is the median of the 6 numbers?A. xB. 2xC. x/2D. 6xE. x/6
In the figure l ∣∣ m, y =A. 150B. 140C. 130D. 120E. 110 m 70° po
r ⊥ s, m∠AOB = (8x − 20)° x = S B A O De C
x =A. 2B. 4C. 8D. 14E. 16 (2x +7) (4x - 1)⁰
2x = y, xA. 120B. 100C. 80D. 60E. 40 002
In the figure p ∥q∥ rx + y + z = P 9 ܘܐ܂ 110° 'xº
In the figure p ∥q∥ rx + y + z = P 9 ܘܐ܂ 110° 'xº
In the figure l ∥m and p ∥ qy =A. 45B. 75C. 90D. 105E. 135 1+ m 20 xº (3x)
In the figure p∥q∥r. Which of the following statements is not true?A. a + e = 180.B. a = b.C. b + c = 180.D. c + d = 180.E. d = e. P dº 120°, aº bº
l ⊥ m2y = x, y =A. 10B. 20C. 30D. 40E. 50 ا to he m
360° − (a + b + d + e) =A. 10B. 20C. 30D. 40E. 50 a°/20° bº eo cod
p ⊥ q,y =A. 40B. 45C. 50D. 55E. 60 9 P * 40° Do
What is the surface area of a rectangular prism if V = 440 m3, l = 11 m, and w = 5 m?
What is the surface area of the prism seen below if the bases are isosceles triangles? 2 in 6 in 5 in
What is the surface area of a cube if volume is 729 cm3?
The base area of a square pyramid is 144 cm2, and the height is 8 cm. What is the surface area of the square pyramid?
A cube and a rectangular prism have the same surface area. If the dimensions of the rectangular prism are h = 9 ft, w = 18 ft, and l = 10 ft, how long is each side of the cube? A. √12 ft B. 2√2 ft C. 6√2 ft D. 72 ft E. 12 ft
What is the radius of a right cone with height 15 cm and volume 90 π cm3?A. 3 √2 cmB. 2 √2 cmC. 6 cmD. 9 cmE. 18 cm
What is the radius of a cylinder with height 12 in and V = 2,352 π in3?
What is the volume of a cone with r = 15 m and h = 9 m?
A dart is thrown randomly at the target below. The radius of the innermost circle is 2, and the radius of each circle doubles as the circles get bigger. What is the probability the dart will hit the shaded region, to the nearest hundredth of a percentage?
What is the surface area of a cube with a volume of 5,832 ft3?A. 2,916 ft2B. 2,430 ft2C. 1,944 ft2D. 1,458 ft2E. 972 ft2
Using the diagram below, how many different ways can you get from point A to point C and then back to point A? A ∞ B C
What is the volume of a square pyramid with base area 64 ft2 and height twice the length of a base edge?
What is the height of a right cylinder with radius 5 in and volume 150 π in3?A. 5 inB. 6 inC. 7 inD. 8 inE. 9 in
The length of each edge of a tetrahedran is 12 cm. What is the surface area of the tetrahedran?
In the rectangular pyramid below, the area of one triangular face is 21 ft2. What is the height of the pyramid?A. 4B. 2C. 4 √10D. 2√10E. 10√10 7
What is the surface area of a sphere that has a volume of 2,304π cm3.
Each side of the cube below has a length of 5 in.A. 5√2B. 5√3C. 10D. 10√2E. 10√3 AF = A G B E D H C F
What is the value of PD in the square pyramid below? A 6√2 P 8 Q D B
A cone has a radius twice the height. The height of the cone is equal to the radius of a sphere. Which of the statements is true about the ratio between the volume of the cone and the volume of the sphere?A. 2:1B. 1:2C. 4:1D. 1:4E. 1:1
A rectangular prism has dimensions h = 2 ft, w = 7 ft, and l = 4 ft. The prism is cut into two separate rectangular prisms by a plane parallel to one of the faces. What is the maximum increase in the surface area between the original prism and the two separate prisms?A. 8 ftB. 14 ftC. 16 ftD. 28
The volume of a rectangular prism is 1,080 cm3. The ratio l:w:h = 2:4:5. What is the surface area of the prism?A. 2,052 ft2B. 1,368 ft2C. 1,080 ft2D. 684 ft2E. 342 ft2
The conical tank below is filled with liquid. How much liquid has poured from the tip of the cone if the water level is 9 feet from the tip?A. 67π ft3B. 57π ft3C. 47π ft3D. 37π ft3E. 27π ft3 4 12
What is the volume of a regular hexagonal prism with height 13 ft and base-edge length of 10 ft?A. 1,950√3B. 750√3C. 150√3D. 25√3E. 5√3
The base area of a cylinder is 16π m2. A plane cuts the cylinder in half forming the rectangle below. If the volume of the cylinder is 240πm3 what is the area of the rectangle?
Jerry knows how to play six chords on a guitar: A, C, D, E, F, and G. He makes up exactly one song for every three chords he knows how to play. For example, the chords A, E, and F are only used in one song together. How many songs did Jerry make up?A. 5B. 10C. 15D. 20E. 25
60 blue marbles and 40 red marbles are in a jar. How many red marbles must be removed from the jar so that the probability of choosing a blue marble from the jar is 3/4?A. 5B. 10C. 15D. 20E. 25
Twenty-five people were asked to name their favorite baseball team. Eight answered New York Yankees, seven answered Atlanta Braves, five answered Chicago Cubs, and five answered San Francisco Giants. What is the probability that a person chosen at random has the Atlanta Braves or San Francisco
A password is made up of two letters followed by two single-digit numbers. If a person is assigned a password at random, what is the probability, rounded to the nearest hundredth, that the password uses only even digits for the numbers?
How many positive 4-digit numbers are there with an even digit in the hundreds position and an odd digit in the tens position?A. 10,000B. 5,040C. 2,500D. 2,250E. 2,150
How many computer passwords can be created with three digits followed by three letters if the first number cannot be 0 and no number or letter can be repeated?
What is the probability that a point picked at random in the figure below will be in the shaded region? 6 2 2 2 6 2
The figure below consists of two congruent semicircles on either end of a square. What is the probability, rounded to the nearest hundredth, that a point in the region chosen at random is not in the shaded area?A. 0.56B. 0.52C. 0.48D. 0.46E. 0.44 8
In what percent of the months does Portland, Oregon, have fewer rainy days than Portland, Maine? Days 20 15 10 5 - Jan Feb Mar Apr Number of Rainy Days May July June Aug Month Oct Sept AON Dec Portland, Oregon Portland, Maine
The pie chart below shows the percent of land in Rhode Island in the different counties. If Rhode Island has a total of 1,045 square miles of land, how many square miles are in Bristol County and Newport County combined? 32% County Area in Square Miles 2% 40% 16% 10% Bristol County Kent
The bar graph below shows the land area, in square miles, for six different states. Which of these states has land area greater than 60,000 square miles? Miles Square 90,000 80,000 70,000 60,000 50,000 40,000 30,000 20,000 10,000 0 Washington State Land
Someone writes a five digit numeral that reads the same from left to right as right to left (a palindrome). How many 5-digit palindromes are there?
Fifty people went to see two different movies. Forty saw Movie A and twenty saw both Movie A and Movie B. How many people saw Movie B?A. 10B. 20C. 30D. 40E. 50
Blaire, Chad, Erin, and Jordan randomly arranged in four seats at the front row of the classroom. What is the probability that Chad and Blaire are sitting next to each other?A. 0.15B. 0.25C. 0.35D. 0.4E. 0.5
X = {−4,−2,1,3} Y = {−1,4,5}. If x is a number from set X, and y is a number from set Y. The probability that x + y is positive is closest toA. 0.5B. 0.6C. 0.7D. 0.8E. 0.9
A certain communication system is made up of 40 symbols. A maximum of two symbols placed together, order not mattering, make up a word. What is the maximum number of words in this communication system?
The table below shows the prices of the six different cell phones that a store carries.What is the average price of the cell phones?A. $69.99B. $79.99C. $89.99D. $99.99E. $109.99 Phone SJ-119 SJ-220 RV-375 RV-400 RKV-5000 RKV-9000 Price $49.99 $ 69.99 $79.99 $99.99 $139.99 $159.99
The table below shows the prices of the six different cell phones that a store carries.What is the median price of the cell phones?A. $69.99B. $79.99C. $89.99D. $99.99E. $109.99 Phone SJ-119 SJ-220 RV-375 RV-400 RKV-5000 RKV-9000 Price $49.99 $ 69.99 $79.99 $99.99 $139.99 $159.99
Five hundred families were surveyed about the number of computers in their home. The circle graph seen below shows the results. How many families had no computer?A. 25B. 50C. 100D. 125E. 200 20% Number of computers 10% 5% 40% 25% 10 ☐☐☐ U TO m >3
The graph below represents the average points per game of a certain basketball player from 1995–2000. What is the percent increase over the 6-year period to the nearest hundredth of a percent?A. 18%B. 18.18%C. 20%D. 22%E. 22.22% Points per
The line graph below shows the number of home runs Barry Bonds hit from 1993–2003. In what year(s) did Barry Bonds hit 46 home runs? Number of Home Runs 80 70 60 50 40 30 20 10 0 1992 46 37 33 42 40 Home Runs 37 34 49 73 46 1994 1996 1998 2000 2002 Year 45 2004 Home Runs
Which of the following choices is the best estimator for the slope of the line that best fits the data?A. 1B. −1C. 2D. −2E. 3
The data below show the population of a certain county according to age. What percent of the population comes from the 45 to 54 age group? Age Under 5 years 5 to 9 years 10 to 14 years 15 to 19 years 20 to 24 years 25 to 34 years 35 to 44 years 45 to 54 years 55 to 59 years 60 to 64 years 65 to 74
The table below displays people’s opinion, by age, about a school referendum.What is the value of x? For Against Undecided Total 18-25 26-40 85 85 50 220 56 47 77 180 41-60 64 70 36 170 61 and over x 24 63 140 Total 258 226 226 710
The bar graph below displays the data gathered when individuals were polled about their favorite type of movie. Each person polled chose one movie type.What percent of the respondents chose Action or Horror? Number of Respondents 3332w. Comedy Suspense Movie Styles Action Horror Movie
The bar graph below displays the data gathered when individuals were polled about their favorite type of movie. Each person polled chose one movie type.What is the ratio of Drama to Suspense?A. 3:4B. 4:3C. 3:5D. 5:3E. 2:3 Number of Respondents -332ww. Comedy Suspense Movie
The pie chart below shows the percent sales of the top five selling fruits in a supermarket. The total sales for one day was 1,000 pounds of these fruits. What is the difference between Peach sales and Plum sales?A. 50 poundsB. 100 poundsC. 150 poundsD. 200 poundsE. 250 pounds 15% 20% 25% Fruit
A total of 250 students participate in five different school-sponsored clubs. The bar graph below shows the number of students who participate in each club. 40% of the members of Club A are in Club B. How many of the members in Club A are not in Club B?A. 28B. 32C. 42D. 48E. 52 Number of
A sphere is created with half the radius of the original sphere. What is the ratio of the volume of the original sphere to the volume of the new sphere?A. 1:8B. 8:1C. 2:1D. 1:2E. 4:1
The area of the base of a cylinder is 100 π m2. The volume of the cylinder is 900 π m3. What is the height of the cylinder?A. 9 mB. 10 mC. 11 mD. 12 mE. 13 m

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