Math GKT

Math GKT 2023 Already Rated A+ 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. Ans1/4 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? Ans- 88oz. Simplify 6-8/2x4 Ans- -10 Simplify (1+2) to the 2 power -2(3-4)to the 3 power Ans- 11 In triangle ABC, AB=AC and angle A measures 40. What is the measure of angle B? Ans- 70 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? Ans- 3.5 in. A milligram would be the most appropriate unit to use for measuring the mass of a Ans- Feather with a 1-inch length 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? Ans- 23 steaks 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? Ans- $2400 Find an algebraic expression equivalent to 2x/3 + 3y14 Ans- 8x/12 + 9y112 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? Ans- d=0 1 2 h=4 6 8 Which algebraic expression can be used,to determine the sale price? (chart) regular price/sale price AnsS=3/4 r Which of the following is the solution of 3(4-2x)-(2x-2)=38 Ans- -3 Which of the following values is the solution to the given equation? 2(h — 6) = -(16 + 3h) Ans- -4/5 Which of the following values is the solution to the given equation? 6 — 2(4-x)=8 Ans- 5 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? Ans- Step 2 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? Ans- Graph B Which of the following sets of ordered pairs represents a function? Ans- {(0,0), (1,1)} 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? Ans- -3/4 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? Ans- Mode The following graph shows a company's sales since it engaged in a new growth strategy. What aspect of the graph is most misleading? Ans- The vertical axis is not scaled linearly 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? Ans- The mean is less than the mode What is the median of the data i the following sample? 2, 1, 4, 3, 7, 5, 3, 6, 9, 3 Ans- 3.5 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? Ans- 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? AnsMedian 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? Ans- 3/7 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? Ans- 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) Ans- Median 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? Ans- 3000 Order the following numbers from least to greatest: Ans- 1/3, 0.8, 3/10, 75% 1/11 0.09 Ans- = 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? Ans- 12 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? Ans- $0.30 Simplify: (-2)-(-3) + (-1) x 4 Ans- -3 Simplify: -(9-3)^2 —2^3/2 Ans- -40 Select the geometric figure named below that possesses all of the following characteristics: quadrilateral; opposite sides are parallel; no interior angles are obtuse Ans- Rectangle An isosceles triangle could have which of the following interior angle measurements? Ans- 30°, 30°, 120° 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? Ans- 25 feet Which of the following is the most appropriate unit to use for expressing the volume of a classroom? Ans- Cubic meters 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? Ans- 3.2 Kilometers Given 6x^2 + kx — 5 = (2x — 1)(3x + 5), what is the value of k? Ans- 7 1f 12a— 3(a+ 1)= a + 1, then Ans- a = 1/2 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? Ans- 200 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? Ans- 45 Which of the following graphs represents a function? Ans- The answer is graph "a" vi7. Which of the following relations is a function? (4 pairs of boxes) Ans- The answer is graph "c" 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? Ans- Expenses 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) Ans- The increments on the vertical axis a not equal What is the mean of the following sample? 9, 7, 9, 11, 14, 8, 7, 7 Ans- 9.0 What is the mean of the data set of he following numbers? 8, 8, 6, 7, 8, 5, 7, 3 Ans- 6.5 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? Ans- Mean 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? Ans- Mode 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? Ans- 4 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 Ans- 8 Identify the symbol that should be placed in the-box to form a true statement Ans- 2.36 2.365 Identify the symbol that should be placed in the box to form a true statement 4 3/16 a 43/8 Ans- 4.28 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? Ans- $20.00 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? Ans- 360 games Simplify -[3+4(-2)+1] Ans- 4 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) Ans- 4 5/8 cm 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? Ans- 2 gallon