GK Math 2

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. Which of the following statements can be made from the following data from the study?

#3 Tick bites take longer to stop itching (c. #3 and #4)

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 of money needed to purchase enough buns for the event?

$ 5.34

A married could who shared a family plan for telephone have their base telephone rate as $82.00 per month.Each member paid 1/2 of the bill plus his or her data usage. The total bill for a month was $125.00 What was the payment per person, if 60% of data usage was his?

$66.80

intercepting At which points will the graphs of Y = 2X² and Y = 6X intersect?

( 0,0 ) and ( 3,18 )

One student ran 8 1/3 laps each day from Monday through Thursday . A second student ran 7 5/8 laps each day from Monday through Friday . How many more laps did the second student Arun than the first student ?

( 4 19/24 ]

Solve for x 4x + 3 ( 4x + 5 ) = 2x + 1

-1

Simplify : -10 - ( - 3 ) ² + 8x3 ÷ 12

-17

Simplify : -5- ( 2 ) 2 x 3 =

-17

Solve for x 3 ( x + 6 ) ≤6 - x

-3

Inters Find the slope of a line given the following equation : Y = - 4x + 3

-4

Which of the following has the largest value ?: -4/7 , -v0.5 , -1.2 x 10² ; - ( 0.8² )

-4/7

A sales person earns $ 250 per week plus 3 % of sales . His goal is to earn more than or equal to $ 460 per week . Which of the following expressions in dollars per week should he use to reach this goal ?

0.03x +250 >460

One event at "Metric Day" was "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 5 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 median of the data in the following sample ? 5 , 8 , 12 , 7 , 12 , 20 , 14,6

10

Pumping water from a basement measuring 18in³ at 1 1/2 in every 50 minutes . How many hours does it take to complete the job ?

10 )

A bathroom floor measures 8ft by 6ft is to be covered by ceramic tiles , each measures 8in by 8in . Find the number of tiles needed to cover a bath room

108

The perimeter of a rectangle is 62 units . If the length L is five less than twice the width , fine the width W to the nearest 10th

12.0

A car travels a total distance of 200 miles at a rate of 55 mph . The car uses 22 mpg of ans . Determine the gallons of gas consumed by the car if it travels a total of 5 hours

12.5 gals

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?

12.52

A person is driving from 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 airport ?

120 miles

1.052 , and 1.4 . Which of the Betty wants to stack books with the heaviest at the bottom and the lightest on top . 1 % , 5/4 , following would be the most appropriate arrangements ?

13/4 , 1.4 , 5/4, 1.052

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 3rd box which measures 12inches x 12inches x 12inches .

1408 in³

39. An artist takes a piece of wire measuring 4 " by 8 " and bent it to design a square . Find the total area of the square .

144 in

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 :

18

Solve for X : If : 6 s 4X + 2 ≤ 10

1≤x≤2

How many liters of a smoothie drinks can be made from the following ? 1L vanilla yogurt 500 mL raspberry juice 450 mL strawberry juice 50 mL chocolate juice

2

P = 4/3 ( x - 2005 ) + 32 ; given P is the profit made by a company , and X the current year . In what year is profit ( P ) ≥ 60,000 ? [ 2016 , 2026 , 2033 , 2043 )

2026

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 Lbs and the weight of a notebook is 4 Lbs . What is the total weight of 1 textbook and 5 notebooks ?

22 1/2 Lbs

Simplify : 2 ( 3 + 1 ) ²- ( 5-2 ) ²

23

Kimber wants to paint the walls 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 not 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 dining room ?

3

A recipe for pancake requires 2 1/2 cups of flour and 3 cups of sugar. How many cups of flour is needed to make 1 1/2 times as much pancake?

3 /34

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

There are 1400 students in a school. The teacher to pupil ration is 1:35. How may additional teachers are needed to reduce the ration to 1:20?

30

Simplify 6^2-8/2

32

Simplify 6² - 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

Simplify : ( 4 + 2 x 5 ) + 2-3

4

Two congruent cylinders have the following corresponding dimensions : R₁ = 7 , H₁ = 15 ; R₂ = x , H₂ = 10. Find R₂

4 2/3

Solve for the variable 18n + 16-7n = 14n - 8 + 2n

4 4/5

On a map, the distance between two cities is 10 inches. If 3/4 inch represents 30 miles, how far is it between the two cities to the nearest mile?

400

Find an algebraic expression equivalent to ( 2x + 1 ) 2

4x² + 4x + 1

There are a total of 9 yellow and 15 blues marbles . What is the probability of selecting a blue marble ?

5/8

The formula Y + 20.25 = 4.58X + 4.50 models a stopping at X mph . Estimate the distance traveled at 15 mph . distance Y in ft of a car traveling

52.95 ft

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 fro the doorway. Allowing 5 extra feet of molding for waste, how many feet of molding will be needed from the room?

56

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 floor of a classroom is to be carpeted . On the blueprint , the classroom measures 8 inches by 6 inches . If ½ inch on the blueprint represents 2 feet , how much carpet is needed ?

768

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 Randy's dog had 3 puppies each. John's dog had 11 puppies. Jane's dg had 9 puppies, Carmen's dog had 5 puppies and Leana's dog had 6 puppies. What is the rang of the number of puppies in the litters?

8

Find the value of " a " in the following expression : 3 ( a + 4 ) = 6[2a- ( 2 - a ) ]

8/5

Estimate the perimeter of the shaded figure

80

SB₂ An eight foot spool cost $ 4.80 . It has been cut to several 16 inches pieces . Find the cost of each 16 in piece

80 ¢

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 $ 15 of other drinks . Which of the following would represent this situation ? but their bill was the same as the second friend who bought one of the smoothies and

9 ( x - 1 ) = x + 15 )

What is the median of the set of data in the following sample ? 11 , 5 , 5 , 12 , 11 , 4 , 6 , 12 , 8 , 11

9.5

A student sketched a banner designed on an 8 by 8 inch rectangular piece of paper . If the dimensions of the banner are four times greater than the dimensions of the paper , what is the difference in area between the paper and the banner ? [ 64in² , 256in² , 960in² , 1024in² ]

960in²

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 investment?

A. 1/7

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 and then without replacing the first marble, removing the second marble. In how many ways can the two marbles be drawn from the bad so that a least one of the marbles is red?

A. 3

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?

A. 6

Which of the following symbols should be placed between the two numbers? 1 1/10 ? 10/11 A. > B. < C. >_ D.<-

A. >

The following people drove their cars with their gas millage as follows : Genevieve drove 240 miles with 8.3 gallons 21:30 00W 2s1017 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 the highest miles per gallon

Antonio drove 202 miles with 6.9 gallons

Which of the following is the greatest? A. 1/3 B. 0.8 C. 3/10 D. 75%

B. 0.8

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 ?

C. 9

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?

C. Mode

Find the rate of change in sale for both companies shown in the table

CBoth rate of change of $ 2mil / year

Which of the following is between 0 and 2?

D. 4.37x 10^2

If drawn into a two dimensional plane , which of the following will represent a function ?

Horizontal line

Given the following points on two lines , Line A ( 1 , 4 ) and ( 8,0 ) Line 8 ( 1,1 ) and ( 8 , 5 ) determine how the lines are related

Intersect

An 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?

Mean

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?

Mode

A quadrilateral has opposite lengths equal in measure . One pair ( No pair ) of opposite angles is acute . This is a

Parallelogram

A quadrilateral has opposite lengths equal in measure. One pair (no pairs) of opposite angles is acute. This is a ?

Parallelogram

Equation 1 : 3X + 2Y = -16 ; Equation 2 : -2X + 3Y = 12 . What type of lines are these ?

Perpendicular and intercepting

Which algebraic expression can be used to determine the sale price ?

S = 3/4 r

A triangle has the following interior angles : 20 ° ; 50 ° ; 110 ° . This triangle is called

Scalene and Obtuse

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

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

The students in a 7th grade classroom are asked to choose their favorite individual (not team) 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 chose by the most students. What aspect of the graph is misleading?

The horizontal widths of the bars are not uniform

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 the mode are 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 scores for class B are more spread out than in class A

Which of the following is an algebraic expression to 2(x + 2y ) - ( x - 6y )

X + 10y

Select the equation that represents a line parallel to the line given by the equation 5Y - 4X = 2

Y = 4 / 5X - 4

Solve for " V : If : 12y - 7<18y - 1

Y(greater than or equal to) -1

Solve for h : 2 ( h - 6 ) = - ( 16 + 3h )

a - 4 / 5

Find the mean from the following numbers : 8,8,6,7,8,5,7,3

a . 6.5

There are 4 graphs to select from about two brands ( A and B ) of snickers . Which graph is best for marketing brand B snickers ?

a . The correct answer is graph B

The weight of a textbook is 2 ½ pounds and the weight of a notebook is 4 ounces . What is the total weight of 5 textbooks and 5 notebooks

b . 13^3

42. A student tries to solve the following problem but makes a mistake at one of the steps . Determine the step at which he made the mistake : Problem : ( x - 1 ) ( x + 1 ) - ( x - 2 ) ( x + 2 )

b . Step 2

A marketing company wants to determine consumer attitudes about a brand of soap in a particular city . Which of the following groups would make the best survey sample ?

customers who regularly purchase the product

What is the mean of the data in the following sample ? 1 , 5 , 2 , 6 , 3 , 9 , 2 , 4

d . 4.0

answer What is the mode of the data in the following sample ? 2 , 3 , 6 , 4 , 6 , 3 , 6 , 3 , 6 , 14 , 2

d . 6

ºt 35+ 20. Let d represent the depth in km of rocks . Find the corresponding interpretation of the line at 35

d . As depth of rock > by 1 km , ºt < 35 ° C

The following graph shows the number of pounds of potatoes ( x ) and number of pounds of carrots ( y ) that can be purchased for $ 120 . Select the statement that best interprets the y intercept of the graph .

d . Number of pounds of carrots that can be acquired if no potatoes are bought

In the figure below , ABC an equilateral triangle . Which of the following statements is true for the figure ? ( The notation ' m ' represents measurement .

m < BCD = 120

An 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 Which measure of central tendency was given in the advertisement according to the data ?

mean

A student's test scores are 90 , 85 , 85 , 80 , 80 , 80 , 78 , and 52. The next test score the student earns is a 75. Which measure of central tendency is affected by including the last score of 75 ? [ mean mode , median , mid - range ]

median

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 manager's salary of $ 95,000 is added to the salaries ?

median

In a class of 25 students , 14 students scored 80 % on a test . Which measures of central tendency can be determined without any other information ?

median and mode

An automobile manufacturer tested the gas mileage of one 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 ?

mode

A triangle has the following interior angles : 20 ° , 50 ° , 110 ° . What is this triangle called ?

obtuse

Select the geometric figure named below that possesses all of the following characteristics : i quadrilateral ii opposite sides are parallel iii no interior angles are obtuse

rectangle