Math GKT
A married couple who shared a family plan for telephone have their base telephone rate as $82.000 per month. Each member paid 1/2f the bill plus his or her data usage. The total bill for a month was $125.00. What was the' payment per person, ifof data usage was his?
$66.80
At which points will the graphs of Y=2x^2 and Y=6x intersect?
(0,0) and (3, 18)
Which of the following is the solution for the inequality below? -6<2x<10
-3<x<5
Find an algebraic expression equivalent to 15a8/-5a2
-3a^6
Which of the following values is the solution to the given equation? 2(h — 6) = -(16 + 3h)
-4/5
Arrange the following numbers from the biggest to the smallest:-4/7, -√0.5, -1.2x10^2, -(0.8^2)
-4/7, -(0.8^2), -√0.5, -1,
Simplify: -(9-3)^2 —2^3/2
-40
Which of the following symbols should be placed between the two numbers?
-5/6 < -0.1
Which of the following symbols should be placed between the two numbers?
1 1/10 > 10/11
Betty wants to stack books with the heaviest at the bottom and the lightest on top. 1 3/4, 5/4, 1.052, and 1.4. Which of the following would be the most appropriate arrangements?
1 3/4, 1.4, 5/4, 1.052
On the blue print of a house, the screened porch is 1.25 inches long and 0.75 inches wide. If the scale on the blueprint indicates that V2 inches equals 10 feet, what is the length, in feet, of the screened porch?
25 feet
The following is a distribution of the scores achieved on a business aptitude exam by first year students at a Midwestern college. How many of the students scored at or above 660: (Graph)
36
There is a graph question on Washington High School.
Correct answer is: There are 560 students in 11th grade in Washington High School
Which of the following is the most appropriate unit to use for expressing the volume of a classroom?
Cubic meters
The formula y+20.25=4.58x+4.50 models a stopping distance Y in ft of a car traveling at X mph Estimate distance traveled at 15 mph.
y=52.95
Simplify: 11(3-y)≻ 6(y-3)
y≺3
A sales person earns $250 per week plus 3% of sales. His goals is to earn more than or equal to $460 per week. Which of the following expression in dollars per week should he use to reach this goal?
0.03+250≥460
The score on a college mathematics examinations have been scaled and the scores below correspond to the indicated percentile ranks. What percent of the students who took the examination scored below 64?
55 percent
P, Q, R, S, T are persons to form a 3 member committee How many combinations of three members can be formed to ensure the maximum participation of person R?
6
The following data show that salaries of recent graduates from a particular department in a college. Which statistics best gives the most accurate salary of a typical graduate from the department? Student/Salary (Graph)
Median
At a gymanstic meet, 3 of the 5 judges gave a gymnast a 9.5 score on the parallel bars. The other 2 judges gave scores less than 9.5 Which of the following statements is true about the distribution of scores?
The mean is less than the mode
A doctor performed a study on patients who had ant bites and patients who had tick bites. The doctor recorded the finding of his study in the following table Average Time Itching Relieved Which of the following statements can be made from the following data from the study?
#3 Tick bites take longer to stop itching #4 Ammonia is the better choice for bite treatment if only one product is
A one-day rental cost $14 plus $0.25 for each mile over 20 miles.Which of the following graphs represents the cost as a function of miles?
$14+(0.25)
One store regularly sells a particular TV for $375 but is offering it at 20% off the regular price this week. A second store sells the same TV for $400 but is having a 30% off sale this week. What is the difference in the sale prices before_a 6% sale tax is added?
$20.00
Simplify 6-8/2x4
-10
Find an algebraic expression equivalent to (-3x^2-4x+5)-(8x^2-2x-3)
-11x^2-2x+8
which number is the greatest -27/2 -13 -12.2 -√175
-12.2
Simplify -10-(-3)^2+8x3÷12
-17
Which of the following symbols should be placed in the box to form a true statement?
-17 > -71
Near the surface of Earth, the temperature decreases linearly with altitude. The following table lists data points for a particular day. Graph What is the slope of the line connecting the two data points if the temperature is on the vertical axis and the height above the ground is on the horizontal axis?
-20
Simplify: (-2)-(-3) + (-1) x 4
-3
Which of the following is the solution of 3(4-2x)-(2x-2)=38
-3
Line A is described by the equation 4.y t 3x = 12. Line B is parallel to line A. Which of the following is the slope of line B?
-3/4
An eight foot spool cost $4.80. It has been cut to several 16 inches pieces. Find-the cost of each in piece.
.80
Which of the following is the greatest:1/3; 0.8; 3/10; 75%?
0.8
Which of the following symbols will fit into the spaces?
0.85 ≻ 4/5
Which of the following shows the to: -20<-4x<-4
1
From the data, determine which one shows a bias
1. Vote for friendly hometown boy 3. Do you like the store's policy?
From the data determine which one shows bias
1. Vote fro friendly hometown boy 3.Do you like the store's policy?
Arrange from least to highest 1/11, 0.11, 1.0x10^-2, 10%
1.0x10^2, 1/11, 10%, 0.11
Which of the following symbols should be placed in the box to form a true statement?
1/15= 0.06
What is the probability of getting a 2 and a 4 combination from rolling a pair of dice?
1/18
5 students each brought the following number of marbles to be shared equally: 4, 6, 12, 13, and 20 A sixth student came to join with 17 marbles. How many marbles are shared equally among the 6 students?
12
A carpenter can make 3 cabinets in 2 days. An apprentice works half as fast. In how many days can the apprentice make 9 cabinets?
12
What is the median of the set of data in the following sample? 8, 19, 14, 12, 16, 19, 11, 15
14.5
solve for X: if: 6≤ 4x + 2≤ 10
1≤x≤2
Simplify the following expression: (x^2 - 1) - (x^2-4)
3
A recipe for pancake requires 2 h cups of flour and 3 cups of sugar. How many cups of flour is needed to make 1 % times as much pancake?
3 3/4
If it takes a student 3 hours to paint a rectangle wall that measures 24 feet by 10 feet working at the same speed how long should it take to paint a wall that measures 16 feet by 18 feet?
3 hrs. 6 min.
Over the past 20 seasons, a college basketball team won, 22 games during its best season and 14 games during its worst season. If the team had 12 seasons in which they won 18 games, which of the following represents the minimum possible number of games they won during the 20 seasons?
360 games
Simplify (4+2x5)÷2-3
4
Simplify -[3+4(-2)+1]
4
What is the mode of the data in the following sample? 1,5,2,6,3,9,2,4
4
A square pyramid has how many faces?
5
A class has 8 male students and 16 female students. Researchers would like to select a sample of 12 students from the class. The sample needs to maintain the sample ratio of male to female students as in the class. How many female students should sample
8
A group of friends compared the number of puppies in each of their dogs' litters. Margaret's dog had 8 puppies, Deana's dog and Randys dog had 3 puppies each. John's dog had 11 puppies, Jane's dog had 9 puppies, Carmen's dog had 5 puppies, and Leana's dog had 6 puppies What is the range of the number of puppies in the litters?
8
The following people drove their cars with their gas mileage as follows: Genevieve drove 240 miles with 8.3 gallons Flor drove 155 miles with 5.8 gallons Bianca drove 368 miles with 13.5 gallons Antonio drove 202 miles with 6.9 gallons Find the person with highest miles per gallon
Antonio drove 202 miles with 6.9 gallons
Function: h: 2d + 4 where h = height and d = days of plant growth. After 2 days, which statement appropriately describes the information?
D 0 1 2 H 4 6 8
The circle graph below indicates a yearly budget for a school district. The numerals in each category represent millions of dollars. Use the graph to answer the question that follows. salaries: 40; expenses:16; maintenance: 4; security: 2; transportation:8 new construction: 10 What is the category spent 20% of the school budget?
Expenses
A milligram would be the most appropriate unit to use for measuring the mass of a
Feather with a 1-inch length
A salesperson earns $50 a day plus a 25% commission of all sales_ Which of the following graphs shows the salesperson's earnings per day?
Graph B
In a survey of 100 students 44 chose brand A sneakers and the rest chose brand b. Which graph is the best representation of the data foe marketing brand B sneakers?
Graph B
Line A and Line B are determined by the following data tables. Graph Line A Line B If both lines are graphed on the same coordinate plane, which of the following will be true concerning lines A and B?
Lines A and B are intersecting but not perpendicular
Select the geometric figure named below that possesses all of the following characteristics: quadrilateral; opposite sides are parallel; no interior angles are obtuse
Rectangle
Which algebraic expression can be used,to determine the sale price? (chart) regular price/sale price
S=3/4 r
Bird A lays eggs having a mean mass of 61 grams with a standard deviation of 2 grams.Bird B lays eggs having a mean mass of 61 grams with a standard deviation of 5 grams. Which of the following can be concluded?
The eggs laid by Bird A tend to be closer to 61 grams in mass than those laid by Bird B
Which of the following is the solution to the given equation? 5(w - 2) - 3 (2w 7) = 8w - 1
W =-10/3
The perimeter of a rectangle is 62 units. the length L is five less than twice the width fine the width W to the nearest 10th
W=12
Simplify: 3(a-4)= 12a-6(2-a)
a= 8/5
Simplify (a^3 b^3) (ab) ^2
ab
as the depth of the rock increases by 1 km, the underground temperature increases by 35 C
as the depth of the rock increases by 1 km, the underground temperature increases by 35 C
Which of the following is an algebraic expression to 2(x+2y)-(x-6y)
x+10y
x^2 - 1/2 = 7/2
x=2
Which of the following sets of ordered pairs represents a function?
{(0,0), (1,1)}
2/36 ? 2/365
≻
A family's dinner bill at a restaurant amounted to $40.00 before a 5% tax was added to the bill. After the sales. tax was added, the family left a 15% lip on the bill. AfterWards, they decided that the tip should have been 15% of just the dinner bill and not the total bill inchiaing tax. How much money would have been saved if they had left a tip only on the dinner bill?
$0.30
Identify the symbol that should be placed in the box to form a true statement
-1/3 ≺ -2/7
Simplify (1+2) to the 2 power -2(3-4)to the 3 power
11
On a map the distance between two particular cities is 7 1/2 inches. If 5/8 inch represents 10 miles, what is the distance between the two cities, to the nearest mile?
120 miles
Simplify the following expression 3≺2x+1≺7
1≺x≺3
b.
21/x 16/24
A baseboard molding in a room is being replaced; the room has a rectangular floor with dimensions of 12 feet by 15 feet, The room also has a door that is 3 feet wide. No molding will be placed for the doorway, Allowing 5 extra feet of molding for waste, how many feet of molding will be needed for the room?
56 ft
Given 6x^2 + kx — 5 = (2x — 1)(3x + 5), what is the value of k?
7
Salaries of five employees in a company are as follows: 19,700, 20,400, 21,500, 22,500 and 23,000. which of the following will not change if the managers salary of 95,000 is added to the salaries?
Mode
The graph depicts the average speed of the winner of the Daytona 500. Which of the following best describes the trend in average speed from 1993 to 2001?
No trend is established
Solve for Y: If: 12y-7≤18y-1
-1≤y or y≥1
One event at "Metric Day" was the "The Paper Plate Toss." Student A tossed the plate 4 meters backward from its resting point to point. From there, student B tossed It forward 2 meters. From there, student C tossed it S meters forward. From there, student D tossed it 2 meters backwards. How far away is the paper from the point of origin?
1 meter
What is the probability of selecting a mayonnaise sandwich from the following bases?
1/2
Order the following numbers from least to greatest:
1/3, 0.8, 3/10, 75%
Mrs. Green was told that she could reduce her heating expenses at least 20% by increasing the insulation of her house. After doing so, she found her average monthly bill for oil decreased from $80 to $60. What fractional part of her former heating expenses did Mrs. Green save by adding insulation.
1/4
A car travels a total distance of 200 miles at a rate of 55 mph. The car uses 22 mpg of gas. Determine the gallons of gas consumed by the car if it travels a total of 5 hours.
12.5 gallons
A person is driving home to the airport to meet a friend. At 60 mph the person will arrive at the airport 1 hour earlier than expected. When driving at 30 mph, the person will arrive at the airport 1 hour late. what is the distance from home to the ariport?
120
The weight of a textbook is 2 1/2 pounds and the weight of a notebook is 4 oz. What is the total weight of 5 textbooks and 5 notebooks.
13 3/4 oz or 13.75 oz
There are a total of three boxes. Box 1 measures 4inches x 6inches x 10 inches. Box 2 measures 2inches x 4inches x 10inches, Find the volume of space left over if the volume of the 2 boxes is subtracted from the volume of the 3 rd box which measures 12inches x 12inches x 12inches.
1408
Simplify 2·[3+(-2)^2+(4^2÷-2)^2]
142
An artist takes a piece of Eire measuring 4' by 8' and bent it to design a square. Find the total area of the square.
144 in
On the map of Florida, the distance between Tampa and Miami is 4 in. On a scale of 3/4 inches to 40 miles what is the actual distance between Tampa and Miami?
2/3
The distance from Tampa to Miami on map is 4 inches. What is the actual distance in miles if every 3/4 in on the map equal 40 miles?
2/3
The following graph depicts the number of students who select certain career performance. What percentage of the students chose engineering as a career? Computer science 72, Medicine 36, Engineering 48, law 44, and other 40.
20%
Two sports teams are tied, each having won five games and lost three. If one of the teams wins next tow games and the order loses the next games, by how much will the teams winning percentages differ?
20%
A company has the following information. The cost in dollars to make n bikes is given by C = 0.1(n — 50) + 45The revenue in dollars from selling n bikes is given by R = 0.3(n — 60) + 18. How many bikes must the company sell so that the cost equals the revenue?
200
P= 4/3(x-2005)+32 give p is the profit made by the company and X the current year. In what year is profit (p) ≥ 60,000?
2026
Jogger A jogged 5 1/3 hours each day for 4 days. Monday thru Thursday. Jogger B jogged 8 5/8 hours for 5 days Monday thru Friday. How many hours did jogger B have than jogger A?
21 19/24
Joanna spends $24.00 on 16 pens. Which of the following proportions will determine the cost of 21 pens?
21/x=16/24
The weight of a textbook is 2 1/2 lbsnd the weight of a notebook is 4 Lbs. What is the total weight of 1 textbook and 5 notebooks?
22 1/2 lbs.
The weight of a textbook is 2 1/2 pounds and the weight of a notebook is 4 lbs. What is the total weight of 1 textbooks and 5 notebooks.
22 1/2 lbs.
The distance of one lap around the school track is 400 meters. If a student runs 8 laps, how many kilometers has the student run?
3.2 Kilometers
What is the median of the data i the following sample? 2, 1, 4, 3, 7, 5, 3, 6, 9, 3
3.5
The driving distance between tallahassee and Tampa is 280 miles. If 1/2 inch on a map represents 40 miles, what is the distance in inches between the cities?
3.5 in.
If a student finishes all of her classwork, she gets to choose a prize from the treasure box. There are three bags of mints and four bags of chocolates in the treasure box. The student is not allowed to look inside the box before she picks her prize. What is the probability of her pulling a bag of mints from the treasure box?
3/7
If a student finishes all of her classwork, she gets to chose a prize from the treasure box. There are three bags of mint and four bags of chocolate in each treasure box. The student - is not allowed to look inside the box before she picks her prize. What is the probability of her pulling a bag of mint from the treasure box?
3/7
There are 1400 students in a school. The teacher to pupil ration is 1:35. How many additional teachers are needed to reduce the ration to 1:20?
30
To estimate the population of grasshoppers in a field, a biologist counts 60 grasshoppers in a randomly selected 4-square-foot sections of the field. Which of the following is the best estimate for the total number of grasshoppers in the field if it measures 200 square feet?
3000
An isosceles triangle could have which of the following interior angle measurements?
30°, 30°, 120°
Simplify 6^2-8 + 2
32
After their children were married, Mr. and Mrs, Smith moved from a large home in the country where they consumed an average of 1500 KW of electricity at $ 0.08/KW. The family moved to a smaller house in the city where they use 800 KW at $0.1/KW. By what percent did the family reduce their electric bill?
33 1/3
An art teacher gave four groups of of students water to clean their paintbrushes , At the end of class the teacher collected the following amount of water from the groups. 1 cup, 4 ounces, 6 ounces, and 1 cup, and 2 ounces. How much water was collected all together?
4 cups
Two cars travel from Jacksonville To Miami distance of 327 miles The smaller car gets 35 miles per gallon and the larger car gets 18 miles per gallon Approximately how many fewer gallons will the smaller car use than the larger car?
8.8 gallons
Find the value a in the following expression: 3(a+4)=6[2a-(2-a)]
8/5 a
The school drama club is planning to sell T-shirts at a musical production. The cost of the shirts is one-time screening fe of $150 plus $6per shirt ordered. Club members plan to sell each shirt for $15. what is the minimum number of shirts they need to sell in order to make a profit of $900
84 shirts
A woman buys eight items at the grocery store. The lightest item weighs 6 ounces and the heaviest item weighs 14 ounces. The woman buys 4 items the weigh 10 ounces per item. Which of the following is the maximum weight of the items purchased?
88oz.
Find an algebraic expression equivalent to 2x/3 + 3y14
8x/12 + 9y112
1/11 0.09
=
Which-of the following research questions would require a control group in addition to the target sample being polled?
Are people with children more likely to shop online?
If drawn into a two dimensional plane, which of the following will represent function?
Horizontal line
The mass, in grams, of a small jar of marbles can. be modeled by the following equation, -where Mrepresents the total mass and N represents the number of warbles. Which of the following is the most accurate interpretation of this equation?
M= 18N+ 190 There are initially 18 marbles in the jar
A major league baseball team has 25 active players on its roster. Which of the following about salaries would one be expected to know in order to determine the annual payroll for players?
Mean
A student has the following test scores: 90, 70, 60, 80, 80, and 90 if the next score of 75 is added which of the following will be affected?
Mean
The salaries for a small firm's employees are shown inthe following table. The firm claims that salaries for its employees is $26,500. Salary 'Number of employees 1 $19,000 $22,000 3 $28,000 $46,000 Which measure is the firm using to make this claim?
Mean
A student's parents promise to pay for next semester's tuition if an A average is earned in chemistry. With examination grades of 95%, 94%, 93%, 87%, 87%, and 61%, the student reports that an A average has been earned. Which measure of central tendency is the student reporting as the average?
Median
A company has data on how a new device can increase the fuel economy of an automobile. The company claims that the device will improve fuel economy by 4 miles per gallon. The following table shows the test results for five cars. (graph) Which is the following statistical measure could be the company use to support the advertised claim?
Mode
A student recorded the number of chin-ups she did at the gym during the past few weeks. The following list shows her chin-up totals. 13, 6, 23, 7, 8, 23, 9, 16, 12, 14 Which measure of central tendency would allow the student to brag to her friends about the highest typical number of chin-ups she is able to do?
Mode
A student recorded the number of chin-ups she did at the gym during the past few weeks. The following list shows her chin-up totals. 13,6,23,7,8,23,9,16,12,14 Which measure of central tendency would allow the student to brag to her friends about the highest typical number of chin-ups she is able to do?
Mode
On a test given to a class of 30 students, 1 students scored 50%, 1 student scored 60%, one student scored 80%, one scored 90%, and the rest scored 70. Which of the following statements is true about.the distribution of scores?
The median and mode are equal
On a test given to a class of 30 students, 5 students scored 40% each, 1 student scored 80. Each of the remaining students scored 70. Which of the following statements is true about the distribution .of scares?
The median and mode are equal
local newspaper conducted an online survey o visitors which of the two candidates would win an upcoming election. The following survey t instruction was used Please take a survey I. No thanks, I am not a registered voter Select one answer Who are you planning to vote for in the-upcoming election? 2. Candidate Ortize 3. Candidate Wilkins
Which of the following best describes the most significant problem with this type of survey? Respondents may not represent the actual voting public
Solve for X: 3(x+6)≤6-x
X ≤ - 3
Solve for x: 4X+3(4X+5)=2X+1
X=-1
A student recorded her grades on assessments in respect to the number of hours she studied for each assessment. Which of the following is the linear equation of the function representing the above data? Let x represent the number of hours studying and Y represent the assessment grade.
Y= 10x + 50
The graph represents the change in rate of a $30,000 car over 5 years. Which of the following equations could be used to find the appropriate value of the car after t years when 0≤ t ≤5? (Graph)
Y=-6000t +30000
Which of the following equations represents a function?
Y=x^2+1
1f 12a— 3(a+ 1)= a + 1, then
a = 1/2
The function h = 2d + 4 represents the height (h) in inches of a plant after a certain number of days' (d) growth. Which of the following represents the height of the plant for the first two days?
d=0 1 2 h=4 6 8
Teachers' salaries range from $ 30,000 minimum through $ 60,000 maximum. If each teacher received a raise of $ 1,000, which the following statements is true?
the mean and the median have changed.
from the pie charts it can be concluded that during the 30 year period.
the percentage of girls who participate in sports has increased.
A graph shows the performance of " dump it company" in monitoring the mass of disposal of pollutants in four separate years: 1990 (4000 lbs) 1995 (4200 lbs) 2000 (4600 lbs ) 2005 (3000 kg) officials who work for the company are proud of he progress which is a reason not to agree with the officials interpretation of the data?
the units of the pollutant: mass are not consistent in the data.
In triangle ABC, AB=AC and angle A measures 40. What is the measure of angle B?
70
The table shows: Average time itching relieved from ant bite ad tick bites A. treatment salt and baking soda: 5 minutes for ant bites and 10 minutes for tick bites B. treatment ammonia: 5 minutes for ant bites and 7 minutes for tick bites. Which conclusion can be made from the above data from the study?
#3 and #4 #3 tick bites take longer to stop itching #4 Ammonia is the better choice for bite treatment if only on product is available.
If fencing is $4.00 per yard, how much will it cost a farmer to fence a rectangular field with dimensions 300 feet by 600 feet?
$2400
A bathroom floor meausres 8ft by 6ft is to be covered by ceramic tiles, each measures 8in by 8in. find the numbers of tiles needed to cover a bathroom.
108
In a year, a family member earned $24,000.00 and another earned $24,000.00, The total annual income for the family was $56,000.00. The extra earning came from investment.What fraction came from
1/7
A summer recreation program offers five sports swimming, basketball, tennis, softball, and volleyball. A participant plans to sign up for two of the sports, How many possible ways can the selection be made?
10
What is the median of the data in the following sample? 5, 8, 12, 7, 12, 20, 14, 6
10
An empty basement with a level floor was flooded with water of 18 in cubic. When a pump was turned on, the water level decreased 1.5 cubic inches during the first 50 minutes. At this rate, how many hours were required to pump out the water?
10 hours
Pumping water fram a basement measuring 18in3 at 1 1/2 in 3 every 50 minutes. How many hours does it take to complete the job?
10 hours
An automobile travels 200 miles at an average speed of 55 miles per hour and has a gas mileage of 22 miles per gallon of gasoline. If the automobile continues to travel the same speed and continues getting the same mileage, how many gallons of gasoline will the automobile use in 5 hours of travel?
12.5 gallons
Five tables are placed end to end to from one long rectangle serving table. Two of the tables are 5 feet 4 inches long and the other three tables are 2 feet 4 inches long each. what is the total length of the serving table?
17ft 8 in.
Lee drive from Dennison to Westport in 3 hour without stopping his driving speed from 40 miles per hour to 60 miles per hour. Lee then drove from dennison to westport in 1 hour without stopping. his speed on this part of the trip varied from 20 mile per hour to 40 miles per hour. What is a reasonable estimate of the total number of miles that Lee drove from Swanson to Westport?
180 miles
A booster club hoped to sell 10 gallons of fruit pm& as a fund-raiser at a football game. With 1 hour remaining, it had sold 128 cups of fruit punch, each cup containing 8oz. How many gallons does the booster club need to sell in the last hour in order to meet its goal?
2 gallons
How many liters of a smoothie drinks can be made from the following? I L vanilla yogurt 500 ml raspberry juice 450 ml strawberry juice 50 ml chocolate juice
2 liters
The perimeter of the following rectangle is 40 cm. which of the following expressions represents the perimeter of the rectangle? drawing of a rectangle
2(2x - 3) +2 (x+2)=40
Identify the symbol that should be placed in the-box to form a true statement
2.36 > 2.365
A child is cutting steaks from a 12-pound section of beef. Allowing '/2 pound for waste, how many 8-ounce steaks can be prepared from the section of beef?
23 steaks
A girl painted portrait with 10 inches of length and 8 inches of width in a rectangle shape. If she trimmed 2 1/2 inches both sides of width and 2 inches on one side of the length, what would be the resulting area.
24 square inches
Kimber wants to paint the wails of a rectangular dining room which measures 10 feet by 16 feet and has an 8-foot high ceiling. An opening measuring 7 feet by 4 feet for a door will be painted. The paint is sold in gallons. One gallon of paint will cover 175 square feet. How many gallons of paint will Kimber need to paint the walls of the dinning room?
3 gallons
A bag contains four marbles. One marble is blue, one is red, one is white, and ane is yellow. Two marbles are drawn from the bag by removing one marble and then without replacing the first marble, removing a second marble. In how many ways can the two marbles be drawn from the bag so that at least one of the marbles is red?
3 ways
A bag contains four marbles. One marble is blue, one is red, one. is white and one is yellow. Two marbles are drawn from the bag by removing one marble at a time without replacing the first marble. in how many ways can the two marble: be drawn from the bag so that at least one of the marbles is red?
3 ways
The following bar chart depicts the number of auto accidents to age of thedriver [vertica' axis: number of auto accidents in thousands 0, 10, 2 0, 50, 601 [horizontal axis: 20yr and less, 21-27 Note: 3449 ► • $ R .11.. to 30° fl On the vertical-barl . What % °fall accidentsirrliolveedrivers between ages, o
30%
Simplify 6^2-8÷2
32
A class of 28 girls and 22 boys has 18 students wearing glasses, What percent of the class is wearing glasses?
36%
a magician. has one red chip, one green chip, and one blue chip. He does a trick in which all three of those chips are placed in a row on a table. Considering all possible arrangements of those chips, in how many of these arrangements will the red chip and green chip be side by side?
4
Two congruent cylinders have the following corresponding dimensions: RI = 7, HI = 15; R2= x, h2 =10 Find R2
4 2/3
Pat wanted to make a scale drawing with 1 mc= 4 fl. How many centimeters should he. use to represent the dimension X in the drawing? (drawing)
4 5/8 cm
ST, Lawrence island, off the coast of Alaska, had a daytime high temperature of -4 F on Monday. The high temperature decreased 6 F on Tuesday and then increased 2 F each day for the next week days. what is the daytime temperature at the end of the 9 day period?
4 F
Identify the symbol that should be placed in the box to form a true statement 4 3/16 < a < 43/8
4.28
Which of the following is between 0 and 2?
4.37 x 10-2
On a map, the distance between two cities is 10 inches. [f 3/4 inch represents 30 miles, how far is it between the two cities to the nearest mile?
400 miles
A student calculates that each typed page contains between 200 and 250 words. A research paper is 18 typed pages. Ten of the pages have 225 words on each. If the other 8 pages are split equally between 200 and 224 words and 220 and 250 words which of the following represents the maximum amount of words in the students research paper?
4050
The equation 5x + 10y = 450 models the relationship between the number of children, x, and the number of adults, y, attending a movie. What is the y-intercept of the line produced when the equation is graphed on an x-y-coordinate system?
45
Which of the following symbols will fit into the spaces?
4^2 ≺ 32÷2 ≺ 2.0x10^2
Find an algebraic expression equivalent to (2x + 1)^2
4x^2+4x+1
Which of the following values is the solution to the given equation? 6 — 2(4-x)=8
5
For a cookout for 24 people, you can purchase 2 hamburgers per person at $0.89 for 8 or $1.49 for 12. What is the least amount needed to purchase enough burns for the event.
5.34
There are 24 marbles in a bag. Nine are yellow and the rest are blue. If one marble is randomly selected, what is the probability that it will be blue?
5/8
There are total of 9 yellow and 15 marbles what is the probability of selecting a blue marble?
5/8
The diagram shows the percentage of TVs in 2,000 households in the US. How many households have more than or (at least) 2 TVs?
500 more than 2
An advertisement agency has been hired to test four brands of toothpaste, The different brands have been labeled A, B, C, D. How many different pairings must be made to ensure that each brand is compared with every other brand?
6
Tyrone needs to take Composition I and Physics II this semester. There are three sections of Composition I and two sections of Physics II being offered at times that do not create a conflict for scheduling both classes. How many different ways can Tyrone schedule these two classes?
6
What is the mode of the data in the following sample? 2, 3, 6, 4, 6, 3, 6, 3, 6, 14, 2
6
department wants to double each of the dimensions of a sandbox at a. public park. The original sandbox is 9 feet by 12 feet What would the new dimensions of the sandbox in yard?
6 yd by 8yd
Find the mean from the following numbers: 8,8,6,7,8,5,7,3
6.5
What is the mean of the data set of he following numbers? 8, 8, 6, 7, 8, 5, 7, 3
6.5
The diagram shows the percentage of automobiles in 2,000 households in the US. How many households have more than or (at least) automobiles?
600 more than 2
When a child is between the ages of 20 and 50 months, the number of words in his vocabulary is expressed as 900 less than the product of 60 and "a" where "a" is his age. Which of the following is equivalent to the above expression
60a-900
The median age of 5 children is 9, 2 of the children are both 5 years. The range of all the children is 7, which of the following is the age of the 2nd from the oldest?
9
The median age of five children is 9. The ages of the first two are 5 each. The range of their ages is 7 what is a possible age of the fourth child?
9
Clients of a local health club may purchase healthy beverages and are billed once a month. Two friends want to compare the price of a particular smoothie based on their monthly bill. The first friend got a $1 reduction on each of the 9 smoothies they bought but their bill was the same as the second friend who bought one of the smoothies and $15 of other drinks. Which of the following would represent this situation?
9(x-1)=x+15
What is the mean of the following sample? 9, 7, 9, 11, 14, 8, 7, 7
9.0
A student scored the following points on his tests: 88, 93, 87, 95, 82. The final exam will be counted as double. To score an average of 90% higher, What should be the minimum score on his final?
90
Parking fees at the local airport are $9.00 per day. Individuals who use the service frequently are given the opportunity to purchase a monthly discount card for $20.00. With the discount card, the parking fee is reduced to $5.50 per day. If "r" represents the number of days the parking lot is used, which of the following equations could be used to calculate when the options would cost the same amount and for how many days the cost will be the same, no matter which option is chosen?
9r= 28+5 50r; (r=8)
112.111. P, Q, R, S, T are persons to form a 3 member committee, can be formed to ensure the maximum participation of person R? pop v/
A graph shows the annual performance Of an n . Which statement is not true about its $erformance as showr in the graph? Answer is: Fina' period shows improvement, but the other periods indicate otherwise {option A)
∘t=35d+20 let d represent the depth in km of rocks. Find the corresponding interpretation of line at 35
As (d) depth cf rock increases by 1 km, ∘t temperature increases by 35 ∘C
Find the rate of change in sale for both companies shown in the table (Graph)
Both rate of change of $2 mil/year
A quadrilateral has opposite lengths in measure. One pair of opposite angles is acute. This is a
Parallelogram
A political poll is to be taken by random samples in a small Florida town. Which of the following would be the most appropriate sampling method?
Poll every 10th person on the registered voter list
A student tries to solve the following problem but makes a mistake at one of the steps. Problem. (x — 1) (x +1)-(x - 2) (X +1) Determine the step at which he made the mistake:
Step 2
The teacher is following the student work shown below. The student was attempting to find an equivalent expression for (x — 1)(x + 1) — (x + 2)(x — 2) Step 1: (x — 1)(x + 1) — (x - 2)(x + 2) = (x2 — 1) — (x2— 4) Step 2: (x2 — 1) — ( x2 7 4) = x2— 1 — x2 - 4 Step 3: x2-1—x2-4x2—x2-l-4 Step 4: x2— x2 — 1 — 4 = -5 The teacher notes that the student committed a single error. During which of the following steps did the student first commit the error?
Step 2
The cost of a truck is $500 more than the cost of a car. Which of the following gives the correct expression of the cost of the truck "t"?
T=c+500
Which of the following graphs represents a function?
The answer is graph "a"
vi7. Which of the following relations is a function? (4 pairs of boxes)
The answer is graph "c"
There are 4 graphs to select from about two brands (A and B) of snickers, Which graph is best for marketing brand B snickers? (graph)
The correct answer is graph B
The following graph shows cost associated with purchasing three different cost of televisions. What aspects of the graph is most misleading?
The height of the bars are not scaled correctly
The students in a 7th grade classroom are asked to choose their favorite individual sport. The teacher collected the data and created the graph, The vertical axis represents the number of student who chose each sport. if the graph is being analyzed to determine the individual sport that was chosen by the most students. What aspect of the graph is misleading?
The horizontal widths of the bars are not uniform
A car salesperson uses the following graph to claim a steady increase in the total number of cars sold. What aspect of the graph could be considered misleading? [vertical: total # of car sold: 2, 6, 10,11, 12,} horizontal-total months at job 1, 2, 3, 4, 5] (Graph)
The increments on the vertical axis a not equal
There are two classes A and B Both have a mean score of 73. The standard deviation of class A is 5 and the standard deviation of class B is 10. Which statement is true about the distribution of scores in both classes?
The spread class B is wider than class A
The following graph shows a company's sales since it engaged in a new growth strategy. What aspect of the graph is most misleading?
The vertical axis is not scaled linearly
a girl buys necklaces of 15 inches, one of 18 inches, and two of 20 inches. What is the rate of variation of the mean if she has one more necklace of 18 inches and another necklace of 20 inches?
There is an increase of 0.4
Which of the following is the solution to the given equation? 6W = 4[W + (- 2 +W)]
W=4
Solve for h: 2(h-6)=-(16+3h)
h=-4/5
In the figure be!ow, ABC an equilateral triangle. Which of the following statements is true for the figure? (The notation 'til ' represents measurement.
m<BCD=120
A potential employee inquired about the salary paid by a company. The interviewer responded with a number that would make salaries at the business sound high, Given the data in the chart, which measure of central tendency did the interviewer use? Frequency 7 1 3 2 1 1 Salary $15,000 $20,000 $24,000 $70,000 $100,000 150,000
mean
Advertisement for a speed-reading course claimed that the average reading speed for people completing the course was 1000 words per minute. Shown is the actual data for the reading speeds per minute for a sample 8 people was completed the course 1000 900 700 850 650 750 1000 1050 Which measure of central tendency was given in the advertisement according to the data?
mode
An automobile manufacturer tested the gas mileage of one of its car models during trials. The results are shown in the table. Which of the following statistics should the manager use if it would create the impression that the gas mileage is high? (Graph shown)
mode
A triangle that has an interior angle that measures 110∘ is best described as a (an)
obtuse and scalene
A quadrilateral has opposite lengths equal in measure. One pair (no pair) of opposite angles is acute. This is a
parallelogram
Select the quadrilateral that could possess these two characteristics opposite angles have the same measure one pair of opposite angles is acute angle
parallelogram
Equation 1: 3x + 2y= -16; Equation 2: -2x + 3y = 12, What type of lines are these?
perpendicular and intercepting
What type(s) of lines are formed if the following Equation 1 3x + 2y+ = -6 Equation 2 2x + 3y = 12
perpendicular and intercepting
Which algebraic expression can be used to determine the sale price? Chart
s=3/4
A triangle has the following interior angles 20, 50, 110 The triangle is called
scalene and obtuse
