Math Teas 7

nh + 30

Test 3 A building has a number of floors of equal height, as well as a thirty-foot spire above them all. If the height of each floor in feet is h, and there are n floors in the building, which of the following represents the building's total height in feet?

36

Test 3 A mathematics test has a 4:2 ratio of data analysis problems to algebra problems. If the test has 18 algebra problems, how many data anaylsis problems are on the test?

This is a linear association with a positive correlation between bivariate data.

Test 3 A scatter plot is constructed for the data below. Which of the following best describes this data? Study Time (Minutes) 10 15 20 25 Average Test Scores (%) 60 69 80 89

6.75cm, 3cm, 5.25cm

Test 3 A triangle has dimensions of 9cm, 4cm, and 7cm. The triangle is scaled by a factor of 3/4. Which of the following represents the dimensions of the scaled triangle?

55%

Test 3 Between the years 2000 and 2010, the number of births in the town of Daneville increased from 1,432 to 2,219. Which of the following is the approximate percent increase in the number of births during those ten years? Round your answer to the nearest whole percent.

$4,000

Test 3 Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 25% to pay off an old debt. He has $600 remaining from his bonus. What was the total amount of Chan's bonus?

147,500 dg

Test 3 Convert 14.75 kilograms to decigrams

106,000

Test 3 Estimate the following sum by rounding each number to the nearest thousands place before adding. 54,321 + 34,621 + 16,587

0.0427378

Test 3 Evaluate the following expression: 0.0178 x 2.401

0.015

Test 3 Evaluate the following expression: 1.034 + 0.275 - 1.294

72ft²

Test 3 Find the area of the composite figure

200

Test 3 If 1 inch on a map represents 60 feet, how many yards apart are two points if the distance between the points on the map is 10 inches?

150 Ib

Test 3 Jerry needs to load four pieces of equipment on to a factory elevator that has weight limit of 800 pounds. Jerry weighs 200 pounds. What would the average weight , in pounds of each item have to be so that the elevator's weight limit is not exceeded assuming Jerry accompanies the equipment?

65 + 0.12x

Test 3 Jonathan pays a $6 monthly flat rate for his cell phone. He is charged $0.12 per minute for each minute used in a roaming area. Which of the following expressions represents his monthly cell phone bill for x roaming minutes?

The amount of money she spends on rent and utilities is approximately $15,000.

Test 3 Kendra uses the pie chart below to represent the allocation of her annual income. Her annual income is $40,000. Which of the following statements is true?

1. -8 2. -7 4/5 3. -3/4 4. 18% 5. 0.25 6. 2.5

Test 3 List the following in order from least to greatest. -3/4, 7 4/5, -8, 2.5, 18%, 0.25

213.36 cm

Test 3 Martin's bed is 7 feet in length. Which of the following represents the length of the bed, in centimeters?

89

Test 3 Pernell's scores on her last five chemistry exams were 81, 92, 87, 89, and 94. What is the approximate average of her scores?

168ft x 19.6ft

Test 3 Rick renovated his home. He made his bedroom 40% larger (length and width) than its original size. If the original dimensions were 144 inches by 168 inches, how big is his room now if measured in feet?

1 9/16

Test 3 Simplify the following expression: 2/3÷4/15×5/8

12/35

Test 3 Simplify the following expression: 2/7 ÷ 5/6

4

Test 3 Simplify the following expression: 4 2/3 ÷ 1 1/6

1 1/3

Test 3 Simplify the following expression: 3 1/6 - 1 5/6

x=-9

Test 3 Solve for x in the following equation: 4(2x -6)= 10x- 6

x=5

Test 3 Solve for x: 2x - 7 = 3

$0.93, .93

Test 3 The following items were purchased at the grocery store. What was the average price paid per item for the total order? Item Cost Quantity Milk $3.50/carton 2 Banana $0.30 each 5 Can of soup $1.25/can 3 Carrots $0.45/stick 6

C=3.60h

Test 3 The table below shows the cost of renting a bicycle for 1, 2,or 3 hours. Which answer choice shows the equation that best represents the data? Let C represent the cost of rental and h stand for the number of hours of rental time. Hours Cost 1 $3.60 2 $7.20 3 $10.80

2.64 liters

Test 3 To begin making her soup, Jennifer added four containers of chicken broth with 1 liter of water into the pot. Each container of chicken broth contains 410 milliliters. How much liquid is in the pot?

30c + 5p ≤ 100

Test 3 Tom needs to buy ink cartridges and printer paper. Each ink cartridge costs $30. Each ream of paper costs $5. He has $100 to spend. Which of the following inequalities may be used to find all of the combinations of ink cartidges and printer paper that he may purchase?

1

Test 3 What is the mode for the set of numbers below? {1, 3, 5, 4, 10, 1, 7, 6, 1, 8}

0.16%

Test 3 Which of the following is the percentage equivalent of 0.0016?

The choice is the one with the four X's grouped together located on the upper right spot on the target board.

Test 3 You shoot four arrows at a target, aiming for the target's bulleye. All four arrows hit the target. If the X's indicates where you hit the target with each of the four arrows, which of the following targets best shows that you were precise but not accurate with your four shots?

0.005 cm

Test 3 Your measure the side of a picture frame with metric ruler find that it is 12.35 cm. What is the maximum possible error in your measurement?

2/15

Test 3 Simplify the following expression: 1/4 x 3/5 ÷ 1 1/8

17%

Test 4 The following graph is a histogram that shows the heights, in inches, of students in a class. What is the approximate percentage of the students in the class have a height between 56-60 inches?

122.44 oz

Test 4 A certain punch recipe calls for 2 cups of apple juice, 3 liters of soda water, and a 5-ounce can of orange juice concentrate. What is the total volume of a single batch of the punch?

12

Test 4 A gardener grows pepper plants from seeds. The heights, in centimeters, from a sample of 10 of the plants are measured after a few weeks. Their heights are given below. 10, 3, 6, 5.2, 11, 4.5, 9, 15, 4.5, 8 What is the range of heights of the sample?

83.33

Test 4 A lab technician took 500 milliliters of blood from a patient. The technician used 1/6 of the blood for further tests. How many milliliters of blood were used for further tests? Round your answer to the nearest hundredth.

y= 28x + 15

Test 4 Andy has already save $15. He plans to save $28 per month. Which of the following equations represents the amount of money he will have save in x months?

J = 1/2K + 5

Test 4 Choose the algebraic expression that best represents the following situation: Jeral's test score (J) was 5 points higher than half of Kara's test score (K).

16 ≤ 4p

Test 4 Hannah spends a least $16 on 4 packages of coffee. Which of the following inequalities represents the possible costs?

42.16 km

Test 4 Jonna runs a 26.2-mile marathon in 5.5 hours. She wants to know how many kilometers per hour she ran during the marathon, so she needs to convert miles to kilometers. How many kilometers is the marathon?

1. -2 2. -3/4 3. -0.45 4. 3% 5. 0.36

Test 4 List the following in order from least to greatest. -2, 3%, -3/4, -0.45, 0.36

1. -2 7/8 2. -2 3/4 3. - 1/5 4. 1/8 5. 2/5

Test 4 List the following in order from least to greatest. 1/8, -2 7/8, -1/5, 2 3/4, 2/5

0 ≤ x < 8

Test 4 Matthew has to earn more than 96 points on his high school entrace exam in order to be eligible for varsity sports. Each question is worth 3 points, and the test has a total of 40 questions. Let x represent the number of test questions can Matthew answer incorrectly and still qualify for varsity sports?

64

Test 4 Robert secures 3 new clients every 8 months. At this rate, how many months would it take for him to secure 24 clients?

-1

Test 4 Simplify the following expression: (3) (-4) + (3) (4) -1

7/22

Test 4 Simplify the following expression: 13/22- 3/11

28-34

Test 4 The following chart is a frequency distribution taken from a sample of people that have the latest cell phone model. Age group Frequency 14-20 8 21-27 16 28-34 25 35-41 15 42-48 8 49-55 3 Someone selected at random from the sample is most likely from what age group?

20% of the sample

Test 4 The following chart is a frequency distribution taken from a sample of people that have the latest cell phone model. Age group Frequency 14-20 8 21-27 16 28-34 25 35-41 15 42-48 8 49-55 3 What percentage of the sample does the age group 35-41 represent?

30

Test 4 The following graph is a histogram that shows the heights, in inches, of students in a class. How many students are in the class?

5

Test 4 The graph below represents the average temperature, in degree Fahrenheit, for a town for each month of a year. How many months of the year was the average temperature above 60 F?

40 F

Test 4 The graph below represents the average temperature, in degrees Fahrenheit, for a town for each month of a year. What is the range of temperatures for the year?

The average temperature is constant from March to April, increases by 5 °F from April to May, and increases by 10 °F more from May to June.

Test 4 The graph below represents the average temperature, in degrees Fahrenheit, for a town for each month of a year. Which statement best describes the average temperatures for March through June?

The mode is equal to the range

Test 4 The number of vacuum cleaners sold by a company per month during Year 1 is lited below. 18, 42, 29, 40, 24, 17, 29, 44, 19, 33, 46, 39 Which of the following is true?

10

Test 5 The wait times, in minutes, for a group of people that are put on hold when calling customer service is given below. 12, 10, 18, 7, 7, 9, 11, 8, 7, 8, 13 What is the mean wait time, in minutes, for a person in the group that is put on hold?

$36

Test 5 Three roommates decided to combine their money to purchase a single birthday gift for the fourth roommate. The first roommate donated $12.03. The second roommate contributed $11.96, and the third roommate gave $12.06. Estimate the total amount of money the roommates used to purchase the gift.

20 cm²

Test 5 What is the area of a rhombus having diagonals of 5 cm and 8 cm?

60 lb

Test 5 What is the range of weights in the sample?

9x- y

Test 5 What is the simplest way to write the following expression? 5x−2y+4x+y

An increase in the height of a plant results in an increase in the plant's weight.

Test 5 Which statement best describes the graph of the scatter plot?

No, because the length of the rug is 5.47 yd, and the length of the bedroom is 5 yd

Test 5 You are putting a new rug in your bedroom. The length of the rug can be no longer than 15 feet. When you are purchasing the rug at the store, the measure on it states that it is 5 meters long. Will the length of the rug fit in your bedroom? Why or why not?

$80

Test 5 You want to buy a shirt for $28, a pair of pants for $42, and a belt for $18 at a clothing store. You have a coupon for $12 to use on your purchase. Which of the following is the best estimate for how many dollars you actually need to spend?

10

Test 5 The cost, in dollars, of shipping x computers to California for sale is 3,000+100x. The amount received when selling these computers is 400x dollars. What is the least number of computers that must be shipped and sold so that the amount received is at least equal to the shipping cost?

9.42 m

Test 5 What is the circumference of a circle that has a diameter of 3 m? (Use 3.14 for π)

$40.00

Test 5 Maria paid $28.00 for a jacket that was discounted by 30%. What was the original price of the jacket?

62.8 in

Test 5 The are of circular disk is 314 in². What is the circumference of the disk? (Use 3.14 for π)

30

Test 5 The plot below shows the number of times a person yawns on a given day of the week. Each X in the plot represents a time the person yawns. How many times does the person yawn for the entire week?

48 ft

Test 5 The area of a rectangular pen that is 135ft² is to be fenced in with a wood fence. If the length of the pen is 15 ft, how much fencing will be needed to fence in the pen? (Round your answer to the nearest whole number)

7

Test 5 The plot below shows the number of times a person yawns on a given day of the week. Each X in the plot represents a time the person yawns. What is the range of the number of times the person yawns in a day during the week?

10%

Test 5 The plot below shows the number of times a person yawns on a given day of the week. Each X in the plot represents a time the person yawns. What percentage of yawns occur on Wednesday?

0.26 gal

Test 5 The gas tank in a lawn mower holds up to one liter of gasoline. The gas can used to fill the gas tank of the mower is measured in gallons. Given that there are approximately 3,785 milliliters in a gallon of water, how much of a gallon of gas is needed to fill an empty gas tank of the lawn mower?

45

Test 5 The value of 374.2x5.73/45.631 is closet to what number?

The rate of change is 3/2, which means a student's test score increases by 3 points for each additional 2 hours studied.

Test 4 The table of the bivariate data below shows the relationship between the number of hous a sample of six students studied for a test and the test grade the student received. Student 1 2 3 4 5 6 Hours studied 6 14 2 4 10 8 Test score 82 94 76 79 88 85 Read chart down for info on each student According to the table, what type of correlation seems to exist betweem the number of hours a student studied for the test and their test grade? Why?

The table shows a positive correlation, since an increase in the number of hours a student studied for the test resulted in a higher test score.

Test 4 The table of the bivariate data below shows the relationship between the number of hous a sample of six students studied for a test and the test grade the student received. Student 1 2 3 4 5 6 Hours studied 6 14 2 4 10 8 Test score 82 94 76 79 88 85 Read chart down for info on each student According to the table, what type of correlation seems to exist betweem the number of hours a student studied for the test and their test grade? Why?

45

Test 4 The time it takes for nine track students to run a race, in seconds, is given below. 45, 40, 51, 42, 47, 41, 53, 50, 39 What is the median time it took for the students to run the race?

The four-year program costs six times as much as the two-year program.

Test 4 Trevot is researching the cost of colleges. The tuition for a two-year (four-semester) program at the community college costs $2,000 per semester. The tuition for a four-year(eight semester) program at the state college costs $6,000 per sesmester. Which of the following statements is true regarding the cost of these two programs?

24

Test 4 Two even integers and one odd integer are multiplied together. Which of the following could be their product? 3.75 9 16.2 24

1 7/12

Test 4 What is 4 2/9 ÷ 2 2/3 ?

113.04 cm²

Test 4 What is the area of a circle that has a diameter of 12 cm? (Use 3.14 for π)

6

Test 4 What is the median for the set of numbers below? {8, 3, 9, 11, 4, 1, 3, 2, 10, 15,}

30 in

Test 4 What is the perimeter of a right triangle whose legs measure 5 in and 12 in each, hypotenuse is 13 in?

28 units

Test 4 What is the perimeter of the parallelogram shown below?

Kevin drives 65 miles per hour.

Test 4 Which of the followin describes a directly proportional relationship?

Marcus earns $52 mowing yards. How much money does he save if he buys his brother a birthday present that costs $14 and saves the rest?

Test 4 Which of the following scenarios can be represented by the equation $14+x =$52?

80.2

Test 4 You drink 55.63 ounces of water, 16.37 ounces of milk, and 8.24 ounces of cola for in one day. Estimate how many ounces you drank throughour the day by rounding each amount to the nearest tenth.

87

Test 4 Your test scores for your math class for the semester are: 95, 95, 82, 76, 81, 93. What is your average test score for the semester?

313 ft²

Test 4 the retangular garage for a home has a length of 20.5ft and a width of 15.25ft. What is the area of the garage to the nearest square foot?

y=100

Test 4 what is the value of y in the following equation? 2y/10 + 5= 25

3r/4 + p/4

Test 4 Solve for n in the following equation: 4n- p= 3r

A positive linear correlation between a plant's height and weight.

Test 5 What kind of correlation does the graph of the scatter plot appear to have?

26

Test 5 A bushel of apples is delivered to a grocery store. To estimate the range of weights, in grams, of all of the apples in the bushel, a sample of 10 apples are weighed. The weights are shown below. 75, 98, 82, 72, 85, 79, 91, 81, 93, 72 What is the range of the weights of the sample of apples?

348 ft²

Test 5 A metallic billboard is to be constructed in the shape of an isosceles trapezoid. The outline of the billboard is shown below. What amount of metal is needed to construct the billboard?

6

Test 5 A sample of 11 students is taken to determine the approximate number of hours of sleep students at a school get for a given night. The amount of sleep the students in the sample get is given below. 8, 7.5, 5, 6, 8.2, 7.5, 6, 8.5, 6, 7.2, 5.5 What is the mode of this set?

$92.80

Test 5 A taxi service charges $5.50 for the first 1/5 of a mile, $1.50 for each additional 1/5 of a mile, and 20¢ per minute of waiting time. Joan took a cab from her place to a flower shop 8 miles away, where she bought a bouquet, then another 3.6 miles to her mother's place. The driver had to wait 9 minutes while she bought the bouquet. What was the fare?

The distribution of income is right skewed.

Test 5 Below is the graph of a histogram showing the income distribution for 1,000 adults. The mean income for the adults is $118,000. Which of the follow best describes how the income is distributed?

33.75 mph

Test 5 Elijah drove 45 miles to his job in an hour and ten minutes in the morning. On the way home in the evening, however, traffic was much heavier and the same trip took an hour and a half. What was his average speed in miles per hour for the round trip?

12 hours

Test 5 If Louis travels on his bike at an average rate of 20 mph, how long will it take him to travel 240 miles?

4x > 92

Test 5 Joshua has to earn more than 92 points on the state test in order to qualify for an academic scholarship. Each question is worth 4 points, and the test has a total of 30 questions. Let x represent the number of test questions Joshua answers correctly. Which of the following inequalities represents the scenario in which Joshua qualifies for an academic scholarship?

1. 7/8 2. 4/5 3. 1/2 4. -3 5. -8

Test 5 List the following in order from greatest to least. 4/5, -8, 4/5, -3, 1/2