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Math GKT

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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 Mr...

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  • April 4, 2023
  • 26
  • 2022/2023
  • Exam (elaborations)
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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. Ans-
1/4



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 Ans-
S=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? Ans-
Median



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

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