DAT Quantitative Reasoning Practice Questions
What is the distance between the two points (2, 6) and (-1, 3) on a graph? a.. 3√2 b. 6 c. 9√2 d. 18 e. 4
a.. 3√2
Jacob is one fourth the age of his dad. In three and a half years he will be one third the age of his dad. How old is Jacob now? a. 4 b. 5 c. 6 d. 7 e. 8
d. 7
If x = y/4 + z, and x = 14/13, and y = 35/70, what does z equal? a. -8/13 b. 99/104 c. 0 d. 125/104 e. 8/13
b. 99/104
12 is 4% of what number? a. 30 b. 100 c. 150 d. 300 e. 350
300
On one buffet bar there are 7 different meats, and on another buffet bar there are 6 different vegetables. People are allowed to chose one item from each bar. How many combinations of one meat and one vegetable can be chosen? a. 42 b. 49 c. 21 d. 36 e. 25
a. 42
On a coordinate graph what is the distance between (3, 4) and (0, 8)? a. 5 b. √89 c. 7 d. 2√5 e. 8√3
a. 5
At Adam's graduation there were 224 seniors graduating. If the ratio of girls to boys was 7 to 9 then how many girls were graduating with Adam? a. 98 b. 177 c. 128 d. 130 e. 110
a. 98
What is the radius of a circle with the given area = (x2 + 4x + 4)π ? a. x + 2 b. 2 c. 4 d. x + 4 e. 8
a. x + 2
If x^2 + 6x + 9 = x + 3. What is the value for x that makes this statement true? a. -2 b. -1 c. 3 d. 1 e. 2
a. -2
Find the distance between the point of intersection of the lines x - y = 2 and y = 4 and the point (6,3). a. 1 b. 2 c. √2 d. 2√2 e. 3√2
a. 1 x - y = 2 and y = 4 x - 4 = 2 → point of intersection is (6,4) distance = (x2-x1)2+(y2-y1)2 = (6-6)2+(3-4)2 = 0+1 = 1 = 1
If 40% of a class are girls, and 25% of girls play tennis, what percentage of the class play tennis? a. 10 b. 15 c. 20 d. 40 e. 80
a. 10
x is y% of what number? a. 100x/y b. 100y/x c. x/100y d. y/100x e. xy/100
a. 100x/y Let the number be A. Then: x = y% * A Solve for A. x = y/100 * A Multiply both sides by 100/y: x * 100/y = y/100 * 100/y * A A = 100x/y
Which is the smallest? a. 17/23 b. 31/33 c. 9/11 d. 41/43 e. 34/39
a. 17/23
A square is inscribed in a circle. The side of the square is 2 meters. What is the area of the circle not occupied by the square? a. 2π - 4 b. 4π - 6 c. 4π - 8 d. 4π - 3 e. None of the above
a. 2π - 4
A farmer has a rectangular garden with a perimeter of 72 feet. If one side is 4 feet longer than the other, then what is the area of the garden? a. 320 feet^2 b. 1476 feet^2 c. 1280 feet^2 d. 324 feet^2 e. 672 feet^2
a. 320 feet^2
If |𝑎| < 1, then which of the following is true if (𝑏>0)? I. -𝑏 < 𝑏𝑎 < 𝑏 II. −𝑎 < 𝑎^2 < 𝑎 if 𝑎 < 0 III. −2 < 4𝑎 − 5 < 3 a. I only b. II only c. I and III only d. III only e. I, II and III
a. I only
What is the value of 𝑦y in the following system of equation? 2𝑥 + 𝑦 = 7 4𝑥 − 2𝑦 = 18 a. −1 b. −2 c. 1 d. 2 e. 4
a. −1
If 𝑓(𝑥) = −𝑥^3 − 4𝑥^2 + 6𝑥 + 7 and 𝑔(𝑥) = −1, what is the value of 𝑓(𝑔(𝑥))? a. −2 b. −1 c. 0 d. 1 e. 2
a. −2
The average salary of 3 people is $1,500. If one of them received a 100% raise, then the average salary becomes $2,000. What is the sum of the salary of the two people who did NOT get the raise? a. $2,000 b. $3,000 c. $4,000 d. $5,000 e. $6,000
b. $3,000 Sum of salary of 3 people = 3 x $1500 = $4500 1 person received a raise of 100% Sum of new salaries = 3 x $2000 = $6000 The increased salary of 1 person = $1500 → Salary of 2 people who did NOT get the raise = $4500 - $1500 = $3000
John buys a paper everyday for 26 weeks. If he pays $0.50 daily for the paper, then how much would he have saved if he bought weekly subscriptions at $2.10? a. $54.60 b. $36.40 c. $3.64 d. $34.50 e. $91.00
b. $36.40
If: x2 + 7x + 1 = -x - 15. Which of the following is a solution for x = ? a. 0 b. -4 c. 7 d. 4 e. 1
b. -4
What is the square root of (.25 x 2.25)? a. 2 b. 0.75 c. 0.5 d. 20 e. 75
b. 0.75
If 25 mm is 1 in then how many feet is 0.48 meter? a. 1 b. 1.6 c. 1.5 d. 1.3 e. 2
b. 1.6
Dayne has a gallon of orange juice. For breakfast he drinks 13 fluid ounces of the gallon. How many fluid ounces of the gallon remain? a. 96 b. 115 c. 99 d. 84 e. 117
b. 115
If tan θ = 5/12 and sin θ > 0, then cos θ = ? a. -5/12 b. 12/13 c. 13/12 d. -12/13 e. 0
b. 12/13 tanθ = opp/adj = 5/12 c = sqrt(5^2 + 12^2) = sqrt(25 + 144) = sqrt(169) = 13 cosθ = adj/hyp = 12/13
√(x^2 - 9) / √(x-3) = 4 For what value of x is this statement true? a. 3 b. 13 c. 23 d. 4 e. 14
b. 13
If the bottom of a vase is a circle with an area of 49π, then which of the following represents the circles circumference? a. 49 b. 14π c. 7π d. 25π e. 10π
b. 14π
What is the value of √(.64/.0016)? a. 200 b. 20 c. 2 d. 0.2 e. 0.02
b. 20
If the average of a and b is 5 and c = 10. What is the average of a, b, and c? a. 10 b. 20/3 c. 5 d. 7.5 e. 6
b. 20/3
If 1/5 of those in a high school are freshman, and 40% of the freshmen are women, and 3/5 of those in the other grades are women, how many men are enrolled in the high school, given that there are 600 students altogether? a. 240 b. 264 c. 300 d. 336 e. 360
b. 264 (2/5)(freshmen) + (3/5)(non-freshmen) = (2/5)(1/5) + (3/5)(4/5) = 2/25 + 12/25 = 14/25 female in the whole student body. 1 - 14/25 = 11/25 male in the whole student body. (11/25)(600) = 264 total men.
If a tree casts a 36-foot shadow at the same time that a 3 feet yardstick casts a 4-foot shadow, what is the height of the tree? a. 23 ft b. 27 ft c. 32 ft d. 36 ft e. 44 ft
b. 27 ft
What is the median number of the following group? {1, 2, 3, 5, 9}. a. 1 b. 3 c. 5 d. 9 e. 7/3
b. 3
A train of 300 meters long passes a lamp post in 12 seconds. How long will it take to cross a 450 meter bridge? a. 15 seconds b. 30 seconds c. 45 seconds d. 60 seconds e. 75 seconds
b. 30 seconds
A boat sails 35 miles south and then 12 miles east. How far is the boat from its start point? a. 25 miles b. 37 miles c. 59 miles d. 68 miles e. 82 miles
b. 37 miles
Removing which of the following numbers will change the average of the numbers to 7 ? {2, 4, 6, 8, 12} a. 2 b. 4 c. 6 d. 8 e. 12
b. 4
Evaluate (2.004)^2 a. 4.16016 b. 4.016016 c. 4.001010 d. 4.000176 e. 4.001760
b. 4.016016 (2.004)2 = 4.016016
0.4 is 30% of x. What is x = ? a. 12/10 b. 4/3 c. 40/3 d. 10/3 e. 8/5
b. 4/3
In four successive hours, a car travels 55 km, 62 km, 44 km, and 63 km. In the next four hours, it travels with an average speed of 65 km per hour. Find the total distance the car traveled in 8 hours. a. 368 km b. 484 km c. 512 km d. 625 km e. 810 km
b. 484 km
Which is the smallest? a. 11/63 b. 5/46 c. 1/5 d. 2/9 e. 7/36
b. 5/46
A boat sails 40 miles south and then 30 miles east. How far is the boat from its start point? a. 45 miles b. 50 miles c. 60 miles d. 70 miles e. 80 miles
b. 50 miles Use Pythagorean Theorem: a^2 + b^2 = c^2 40^2 + 30^2 = c^2 → 1600 + 900 = c^2 → 2500 = c^2 → c = 50
Dick is driving on I-75 at 65 miles per hour for 24 minutes then slows down to 55 miles per hour for 30 minutes due to construction. How many miles did Dick travel in 54 minutes? a. 58.5 b. 53.5 c. 60 d. 55.5 e. 50.5
b. 53.5
If 50% of x equal to 20% of 30, then what is the value of (𝑥−4)^2? a. 48 b. 64 c. 88 d. 128 e. 165
b. 64
Hose A fills a trough in 12 minutes and hose B fills the same trough in 24 minutes. How long does it take to fill the trought with both hose A and B going at the same time? a. 10 b. 8 c. 12 d. 16 e. 6
b. 8
If: f(x) = 6x - x2, then what does f(3) = ? a. 6 b. 9 c. 7 d. 8 e. 10
b. 9
In the equation x = [8y + (r/r + 1)] / [(6/z)], when z is divided by 3, what is the effect on x? a. x is divided by 2 b. x is divided by 3 c. x does not change d. x is multiplied by 3 e. x is multiplied by 2
b. x is divided by 3 x = [8y + (r/r + 1)] / [(6/(z/3))] x = [8y + (r/r + 1)] / [(3 x 6/(z)] x/3 = [8y + (r/r + 1)] / [(3 x 6/(z)] x (1/3)
What is the solution of the following inequality? |𝑥 + 8| ≤ 2 a. 𝑥 ≥ −6 ∪ 𝑥 ≤ −10 b. −10 ≤ 𝑥 ≤ −6 c. 𝑥 ≥ −6 d. 𝑥 ≤ −10 e. Set of real numbers
b. −10 ≤ 𝑥 ≤ −6
A young man works at a grocery store and is paid $10 an hour for up to 40 hours. Then if he works more than 40 hours he is paid $15 per hour for the time he works over 40 hours. If the young man works 44 hours and 17 minutes, how much will he be paid? a. $444.25 b. $460.50 c. $464.25 d. $660.75 e. $463.75
c. $464.25
When point A (10,3) is reflected over the y-axis to get the point B, what are the coordinates of point B? a. (10,3) b. (-10,-3) c. (-10,3) d. (10,-3) e. (0,3)
c. (-10,3) When points reflected over y-axis, the value of y in the coordinates doesn't change and the sign of the x changes. Therefore, the coordinate point B is (-10, 3).
y = (x+5) / (x-9)represent this in the form of x = a. (9y - 9)/(y + 5) b. (9y + 5)/y c. (9y + 5)/(y - 1) d. (y + 5)/(y - 9) e. 9y/(y - 1)
c. (9y + 5)/(y - 1)
(27 X 756) - (30 X 756) = ? a. 20,412 b. 22,680 c. -2,268 d. -22,680 e. 2,268
c. -2,268
The number 6.45 is 100 times greater than which of the following numbers? a. 64.5 b. 0.645 c. 0.0645 d. 0.00645 e. 0.000645
c. 0.0645
( (.3)^2 (√.36) (10) ) / .6 = a. 90 b. 9 c. 0.9 d. 0.09 e. 0.009
c. 0.9
If the cotangent of an angle β is 1, then the tangent of angle β is a. −1 b. 0 c. 1 d. 2 e. 3
c. 1
If cotangent of an angle β is 1, then tangent of angle β is a. -1 b. 0 c. 1 d. 2 e. 3
c. 1 Tangent = 1/cotangent = 1
If two x's and four o's are placed in a bag, then what is the probability that two draws from the bag at random, without replacement, will yield two x's? a. 3/11 b. 2/15 c. 1/15 d. 1/10 e. 1/9
c. 1/15
What is the probability of rolling two 6 sided dice simultaneously and receiving a value of seven? a. 1/7 b. 7/36 c. 1/6 d. 1/18 e. 1/3
c. 1/6
(1/6) + (3/8) - (5/12) = a. 1/192 b. 5/24 c. 1/8 d. 23/24 e. -1/8
c. 1/8
8 liters of water are poured into an aquarium that's 16 cm long, 5 cm wide, and 120 cm high. How many cm will the water level in the aquarium rise due to this added water? (1 liter of water = 1000 cm3) a. 60 b. 80 c. 100 d. 120 e. 140
c. 100
If 65% of a class are girls, and 20% of girls play tennis, what percent of the class play tennis? a. 9% b. 11% c. 13% d. 15% e. 18%
c. 13%
From last year, the price of gasoline has increased from $1.25 per gallon to $1.75 per gallon. The new price is what percent of the original price? a. 72% b. 120% c. 140% d. 160% e. 180%
c. 140%
Brian receives 6 magazines at the begining of each month. If he wants to read 2 magazines, then how many combinations of 2 could he select? a. 12 b. 6 c. 15 d. 11 e. 36
c. 15
How many tiles of 12 𝑐𝑚2cm2 is needed to cover a floor of dimension 6 cm by 32 𝑐𝑚cm? a. 9 b. 12 c. 16 d. 19 e. 24
c. 16
At present, the age ratio of A and B is 1:2. Ten years later the ratio is 2:3. What is the present age of B? a. 5 years old b. 10 years old c. 20 years old d. 30 years old e. 40 years old
c. 20 years old
A bicyclist pedals at an average speed of 20 mph his first lap around a circle. His second lap was at an average speed of 30 mph. What was his average speed for the entire trip? a. 25 b. 22 c. 24 d. 26 e. 30
c. 24
A rectangle with a perimeter of 68 inches has one side that is 4 inches longer than the other. What is the area of this rectangle? a. 225 in2 b. 361 in2 c. 285 in2 d. 165 in2 e. 300 in2
c. 285 in2
[3, 5, 3, 7, 8, 5, 3]. In this group of numbers what is the mode? a. 5 b. 7 c. 3 d. 6 e. 8
c. 3
A and B can do a job alone in 10 days and 12 days, respectively. A starts working along and 5 days later B joins to finish the work together. For how many days has B worked on the job? a. 32/5 b. 24/5 c. 30/11 d. 24/11 e. 2
c. 30/11
If a and b are prime numbers and a = x/b then which of the following could x = ? a. 20 b. 24 c. 33 d. 36 e. 40
c. 33
A square's perimeter is 24 feet. What is the area? a. 16 ft2 b. 26 ft2 c. 36 ft2 d. 10 ft2 e. 40 ft2
c. 36 ft2
A number is chosen at random from 1 to 18. Find the probability of not selecting a composite number. a. 2/9 b. 3/8 c. 4/9 d. 1/2 e. 1
c. 4/9
A chemical solution contains 12% alcohol. If there is 48 ml of alcohol, what is the volume of the solution? a. 280 ml b. 360 ml c. 400 ml d. 620 ml e. 780 ml
c. 400 ml
In five successive hours, a car travels 40 km, 45 km, 50 km, 35 km and 55 km. in the next 5 hours, it travels with an average speed of 50 km per hour. Find the total distance the car traveled in 10 hours. a. 425 km b. 450 km c. 475 km d. 500 km e. 1000 km
c. 475 km
Danny caught a fish that weighed 5 pounds 8 ounces, Glen caught a fish that weighed 6 pounds 2 ounces, and Michael caught a fish that weighed 4 pounds 8 ounces. What is the average weight of these fish? a. 5 lbs. 0 oz. b. 5 lbs. 5 2/3 oz. c. 5 lbs. 6 oz. d. 5 lbs. 6 2/3 oz. e. 5 lbs. 5 oz.
c. 5 lbs. 6 oz.
When 45% of 30 is added to 15% of 420, the resulting number is: a. 57 b. 63 c. 76.5 d. 95.5 e. 110
c. 76.5
How long does a 420-mile trip take moving at 50 miles per hour (mph)? a. 4 hours b. 6 hours and 24 minutes c. 8 hours and 24 minutes d. 8 hours and 30 minutes e. 10 hours and 30 minutes
c. 8 hours and 24 minutes
A wagon was loaded with 20 boxes each weighing 500 kg. If the maximum weight limit for the wagon is 20 tons, how much more weight can be loaded? (use 1 ton = 907 kg) a. 81.40 kg b. 814.0 kg c. 8,140 kg d. 81,400 kg e. 8.140 kg
c. 8,140 kg 20 x 907 = 18,140 kg 500 x 20 = 10,000 kg 18,140 kg - 10,000 kg = 8,140 kg
A dog kennel has 220 dogs. The ratio of Labrador Retrievers to German Shepherds is 6 to 9. How many Labrador Retrievers are at this kennel? a. 132 b. 147 c. 88 d. 15 e. 98
c. 88
When 40% of 60 is added to 12% of 600, the resulting number is: a. 24 b. 72 c. 96 d. 140 e. 180
c. 96
Which of the following is equivalent to (sec x)(sin x)? a. sin x b. cos x c. tan x d. csc x e. cot x
c. tan x
If: 3x - 4 > -(x + 6), then a solution for "x" that would make the statement true is which of the following? a. x < -2 b. x < -1 c. x > -1/2 d. x < -4 e. x < -8
c. x > -1/2
If 𝑓(𝑥) = 2𝑥^2 − 𝑥 and 𝑔(𝑥) = 𝑥^2 − 6, then find (𝑓−𝑔)(𝑥)? a. −𝑥^2 − 𝑥 - 6 b. −𝑥^2 - 3𝑥 + 6 c. 𝑥^2 - 𝑥 + 6 d. 𝑥^2 - 3𝑥 + 6 e. 𝑥^2 − 3𝑥 − 6
c. 𝑥^2 - 𝑥 + 6
Which of the following points lies on the line 3𝑥 − 2𝑦 = 8? a. (−3,2) b. (−1,2) c. (1,2) d. (2,−1) e. (3,0)
d. (2,−1)
What is 2% of 15% of 12? a. 2.4 b. 0.36 c. 0.018 d. 0.036 e. 0.24
d. 0.036
If Chad has a 2-sided coin, what is the probability he will flip the coin on heads three times in a row? a. 1/2 b. 1/4 c. 1/6 d. 1/8 e. 1/16
d. 1/8
A pair of playing dice is thrown. What is the probability of getting a sum of 5? a. 1/6 b. 1/36 c. 1/18 d. 1/9 e. 1/27
d. 1/9
A rope weighs 732 grams per meter in length. What is the weight in kilograms of 14 meters of this rope? (1 kilograms = 1000 grams) a. 0.010248 b. 0.10248 c. 1.0248 d. 10.248 e. 102.48
d. 10.248
A roulette wheel consists of 38 slots. 36 of these are numbered 1 through 36 and colored red or black so that there are nine red even-numbered slots, nine black odd-numbered slots, etc. These slots occur with equal probability. The two slots marked 0 or 00 are each three times as likely to occur as any one of the other 36. What is the probability that a red even number, a red 23, or a 00 will occur on one roll of the wheel? a. 2/7 b. 5/18 c. 13/38 d. 13/42 e. 3/10
d. 13/42 First determine the likelihood of each slot's occurrence: [36x + 2(3x) = 1 → x = 1/42]. Likelihood of red even number: [9/42]. The likelihood of red 23: [1/42]. The likelihood of 00 is: [3x → 3/42]. Probability of all: 9/42 + 1/42 + 3/42 = 13/42.
A bag contains 15 balls: two green, three black, four blue, two brown, a red, and three white. If 14 balls are removed from the bag at random, what is the probability that a red ball has been removed? a. 1/4 b. 1/6 c. 1/14 d. 14/15 e. 15/14
d. 14/15
From last year, the price of gasoline has increased from $1.3 per gallon to $1.82 per gallon. The new price is what percent of the original price? a. 95% b. 110% c. 120% d. 140% e. 160%
d. 140%
If 𝑡𝑎𝑛𝜃 = 8/15 and 𝑠𝑖𝑛𝜃 > 0, then 𝑐𝑜𝑠𝜃 =? a. −15/17 b. −8/15 c. 8/17 d. 15/17 e. 1
d. 15/17
Each side of a square is increased by 5 inches which increases the area of the square by 65 square inches. What was the area of the original square? a. 81 in2 b. 64 in2 c. 49 in2 d. 16 in2 e. 25 in2
d. 16 in2
In the first 12 games of the season, the forward on a soccer team scored 20 goals. How many goals must he average in each of the 6 remaining games of the season in order to average 2.0 goals per game overall? a. 1 ½ b. 2 ⅓ c. 2 ½ d. 2 ⅔ e. 20
d. 2 ⅔ (2)(18) = 36 goals in the season. 36 - 20 = 16 goals left to score in 6 games. (16/6) = 2.66 or 2 ⅔ goals average per game.
Mackenzie is 1/3 the age of her mother. In 8 years she will be 1/2 the age of her mother. How old is Mackenzie's mother now? a. 8 b. 16 c. 12 d. 24 e. 32
d. 24
Which value is the largest? a. 2sin(0) b. 2sin(π/6) c. sin(π/4) d. 2sin(π/2) e. sin(π/3)
d. 2sin(π/2)
If 𝑦 = 𝑎𝑏^2 − 3𝑎^2𝑏, what is y when 𝑎 = 2 and 𝑏 = −2 ? a. −32 b. −16 c. 16 d. 32 e. 36
d. 32
If 3x/16 = (x-1)/4, then x = ? a. 1/4 b. 3/4 c. 3 d. 4 e. 9/4
d. 4
A ladder leans against a wall forming a 60o angle between the ground and the ladder. If the bottom of the ladder is 30 feet away from the wall, how long is the ladder? a. 30 feet b. 40 feet c. 50 feet d. 60 feet e. 120 feet
d. 60 feet
What percent of 54/3 is 56/4 + 48/8 - 24/3 ? a. 12 b. 18 c. 33.3 d. 66.6 e. 50
d. 66.6
If 1 inch equals 2.5 centimeters them how many centimeters is 25 feet? a. 10 cm b. 100 cm c. 1000 cm d. 750 cm e. 500 cm
d. 750 cm
How long does a 564-miles trip take moving at 60 miles per hour (mph)? a. 6 hours b. 7 hours and 30 minutes c. 8 hours and 45 minutes d. 9 hours and 24 minutes e. 12 hours and 15 minutes
d. 9 hours and 24 minutes
If: -4a + 8 > 12, then which of the following must be true? a. a > -1 b. a > 1 c. a = 0 d. a < -1 e. a = 1
d. a < -1
Which of the following equations of lines is parallel to y = 5x + 4? a. y = (1/3)x + 4 b. y = (1/5)x + 4 c. y = (1/5)x - 4 d. y = 5x -1 e. y = 10x - 2
d. y = 5x -1
What are four consecutive odd numbers that when added together equal 64? a. {7, 9, 11, 13} b. {9, 11, 13, 15} c. {11, 13, 15, 17} d. {13, 15, 17, 19} e. {15, 17, 19, 21}
d. {13, 15, 17, 19}
Susan has $10 with which to buy apples. Apples are priced at 6 for $0.89, or $0.20 each. How much change will Susan receive if she buys as many as she can? a. $1.10 b. $0.89 c. $0.21 d. $0.10 e. $0.01
e. $0.01 (11)($0.89) = $9.79 + $0.20 = $9.99. $10 - $9.99 = $0.01 change.
A few years back Kevin bought a new car for $30,000 but since then it has depreciated by half. Now Kevin is again buying a new car with his trade in worth 25% of the new car. What is the value of the new car? a. $30,000 b. $15,000 c. $18,000 d. $45,000 e. $60,000
e. $60,000
When pointing A (−4,5) is reflected over the y-axis to get point B, what are the coordinates of point B? a. (−4,−5) b. (−4,5) c. (0,5) d. (4,−5) e. (4,5)
e. (4,5)
Which of the following is equivalent to cos (π/3)? a. sin(π/4) b. cos(2π/3) c. -sin(π/6) d. sin(π/3) e. -cos(2π/3)
e. -cos(2π/3)
If f(x) = 2x^3 + 5x^2 + 2x and g(x) = -2, what is the value of f(g(x))? a. 36 b. 32 c. 24 d. 4 e. 0
e. 0 g(x) = -2, then f(g(x)) = f(-2) f(-2) = 2(-2)^3 + 5(-2)^2 + 2(-2) = -16 + 20 - 4 = 0
What is 8% of 4% of 2? a. 64 b. 0.64 c. 0.064 d. 6.4 e. 0.0064
e. 0.0064
The marked price of a computer is D dollar. Its price decreased by 15% in January and later increased by 22% in February. What is the final price of the computer in D dollars? a. 0.85 D b. 0.88 D c. 0.90 D d. 0.95 D e. 1.037 D
e. 1.037 D
If 5𝑥/18 = (𝑥−2)/3, then x =? a. 9/4 b. 18/5 c. 6 d. 8 e. 12
e. 12
What is the surface area of the cylinder if it has a diameter of 8 in and a height of 12 in? a. 46π 𝑖𝑛2 b. 58π 𝑖𝑛2 c. 64π 𝑖𝑛2 d. 95π 𝑖𝑛2 e. 128π 𝑖𝑛2
e. 128π 𝑖𝑛2
Two electrical poles are 12 feet apart. If one of the poles is 5 feet more in length than the other, what is the minimum length of the wire required for connecting them about their top? a. 8 feet b. 10 feet c. 12 feet d. 14 feet e. 13 feet
e. 13 feet
(x^2 -3) / (x-1) = 1 / (x-1) What is the value for x that makes this statement true? a. 3, -3 b. -4, 4 c. -6, 6 d. 0, 1 e. 2, -2
e. 2, -2
Brandon shoots free throws at a ratio of 3:2 for made to misses, respectively. If he misses 150 shots then how many free throws did he make? a. 450 b. 150 c. 300 d. 320 e. 225
e. 225
If 60% of x equal to 30% of 20, then what is the value of (x + 5)^2? a. 25.25 b. 26 c. 26.01 d. 2025 e. 225
e. 225 0.6x = (0.3) x 20 → x = 10 (x + 5)^2 → (10 + 5)^2 = (15)^2 = 225
What is the value of x if: 8y = 2x + 4 and 3y + 8 = x? a. 10 b. 10 c. 24 d. 36 e. 38
e. 38
(8 x 105) x (5 x 10-2) = ? a. 4.0 x 10^3 b. 4.0 x 10^-10 c. 4.0 x 10^11 d. 4.0 x 10^-7 e. 4.0 x 10^4
e. 4.0 x 10^4
A ladder leans against a wall forming a 60∘ angle between the ground and the ladder. If the bottom of the ladder is 20 feet away from the wall, how long is the ladder? a. 10 feet b. 15 feet c. 20 feet d. 25 feet e. 40 feet
e. 40 feet
Jen is building a playground with a perimeter of 280 feet. If the length is 10 feet less than twice the width, then what is the area? a. 7295 feet2 b. 17475 feet2 c. 11545 feet2 d. 654 feet2 e. 4500 feet2
e. 4500 feet2
What is the value of y in the following system of equations? 3x - 4y = -20 -x + 2y = 10 a. -1 b. -2 c. 1 d. 4 e. 5
e. 5
3x + 2y is what percent of 6x2 + y, if x = 2 and y = 6? a. 30% b. 35% c. 37% d. 43% e. 60%
e. 60%
What is the area of a square whose diagonal is 12 cm? a. 12 𝑐𝑚2 b. 34 𝑐𝑚2 c. 38 𝑐𝑚2 d. 48 𝑐𝑚2 e. 72 𝑐𝑚2
e. 72 𝑐𝑚2
1/2 +1/3 + 1/4 +1/5+ 1/6 = a. 3/2 b. 82/60 c. 91/60 d. 5/2 e. 87/60
e. 87/60
If a box contains red and blue balls in the ratio of 3:4, how many red balls are there if 120 blue balls are in the box? a. 30 b. 45 c. 60 d. 75 e. 90
e. 90
(2/a) / (c/4) Evaluate this expression if a= 4/10 and c = 5/23 a. 100/23 b. 1/2 c. 2 d. 5 e. 92
e. 92
If a + b > a - b, then which of the following must be true? a. b ≤ 0 b. a - b > b - a c. a > 0 d. a = 0 e. None of the above.
e. None of the above.
Brant is x feet tall. At what angle must the sun be at for his shadow to equal his height? a. sin 1 b. cos 1 c. arcsin 1 d. arccos 1 e. arctan 1
e. arctan 1
If y = (3+4)/(x+6), then which of the following represents x? a. x = (3-6y)/(y-4) b. x = (6y-4)/(y-3) c. x = (6-4y)/(3-y) d. x = (3y-4)/(6-y) e. x = (4-6y)/(y-3)
e. x = (4-6y)/(y-3)
If both x and y are both even numbers, which of the following expressions will always represent an odd number? a. x + y b. x^y c. y^x d. xy e. xy + 1
e. xy + 1 An even number multiplied by an even number is always even. The sum of two even numbers is always even.
In the xy-plane, the point (4,3) and (3,2) are on line A. Which of the following equations of lines is parallel to line A? a. y = 3x b. y = 10 c. y = x2 d. y = 2x e. y = x
e. y = x Slope of line A is: m = (y2 - y1)/(x2 - x1) = (3 - 2)/(4 - 3) = 1 Parallel lines have the same slope and only choice (e.) has slope of 1.
In the xy-plane, the point (2, −6) and (4, 2) are on line A. Which of the following equations of lines is parallel to line A? a. 𝑦 = −2𝑥 b. 𝑦 = 𝑥 c. 𝑦 = 𝑥/4 d. 𝑦 = 2𝑥 e. 𝑦 = 4𝑥
e. 𝑦 = 4𝑥