Module I: Math

SAT Practice Test 8

In a lottery, there are 100 tickets numbered from 1 to 100. What is the probability that a randomly chosen ticket has a number which is a multiple of 5 or 7?

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The original price of a jacket at a store is $50.00. The discount price of the jacket is 60% less than the original price, and the discount price is 20% greater than the store’s cost for the jacket. What was the store’s cost, in dollars, for the jacket?

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  16.00

  16.67

  20.00

32.00

The line graph depicts the monthly average temperature in City X over one year. The vertical axis represents the average temperature in degrees Celsius, ranging from 0 to 30°C in increments of 5°C. The horizontal axis represents the months of the year, from January to December. Based on the line graph, in which month was the average temperature in City X the highest?

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  June

  July

  August

  September

A certain horizontal force is applied uniformly across two adjacent rectangular plates. The larger plate is three times as long as the smaller plate but has the same width. The magnitude of the applied force (N) per unit area (pressure) on the plates is 40.00 N/m². If the total force applied to both plates is 8000 N, what is the force in units of newtons (N) applied to the larger plate?

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Preview:

Two teams conduct population studies in a region. Team Alpha finds that 62% support a new policy, with a 4% margin of error. Team Beta reports 68% support, with a 2% margin of error. What can be inferred about the sample sizes?

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  Team Alpha had a larger sample size than Team Beta.

  Team Beta had a larger sample size than Team Alpha.

  Both teams had the same sample size.

  Cannot determine sample sizes from this information.

The product of two numbers is 72, and their sum is 18. What is the larger of the two numbers?

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A sphere has a volume of 288π cubic units. A cylinder has the same radius as the sphere and a height equal to the sphere's diameter. What is the surface area, in square units, of the cylinder?

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  64π

  96π

  216π

  428π

    

What is the smallest solution to the given equation?

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  x= -6-6

  x= -6+6

  x= 6-

  x=−9

Given the equation  , which is true for x>4, find the value of w/v

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  18

  6

  2

  1

X2+4x−5=0. One of the roots of this equation can be written as −2+​. What is the value of n?    

                      

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A circle has center O, with diameters AC and BD. The length of arc AB, BC, CD, and DA are all equal. What is the angle in degrees of angle AOD?

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Which of the equations shares the same solution as the equation 24x+36=216?

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  4x+6=36

  6x+9=52

  8x+12=44

  3x+4.5=20

Thefunction f is defined by f(x)=150(0.75)x Whatis the value of f(2) rounded to the nearest hundredth?

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A standard six-sided die is rolled twice. What is the probability between 0 and 1 that the first roll is a 3 and the second roll is greater than 4? (An answer of 1 is 100 percent probability, 0.5 is 50% probability).

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Which expression is equivalent to x2−5x−24 ?

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  (x−8)(x+3)

  (x−6)(x+4)

  (x+6)(x−4)

  (x+8)(x−3)

The function f(x)=(x−15)(x+20) is given. Determine the xx-value where f(x)attains its minimum value.

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An isosceles right triangle has one leg of length 20 inches. What is the length of the hypotenuse and the perimeter, in inches, of this triangle?

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  Hypotenuse: 20​ inches, Perimeter: 60 inches

  Hypotenuse: 20inches, Perimeter: 40+20inches

  Hypotenuse: 40 inches, Perimeter: 100 inches

  Hypotenuse: 40 inches, Perimeter: 80+20​inches.

Triangle ABC has side lengths AB = 10, BC = 10, AC = 5. What is the measure of angle B, rounded to the nearest degree?

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The dot plot represents the 10 values in data set A. Data set B is created by doubling the frequency of group of values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?

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  The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.

  The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A.

  The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.

  The median of data set B is greater than the median of data set A, and the range of data set B is greater than the range of data set A.

x2+4x+5=0. How many distinct real solutions does the given equation have?

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  Exactly one

  Exactly two

  Infinitely many

  Zero

A cable company has a tiered pricing plan for its services. The basic plan costs 15 dollars per month for up to 100 minutes of calls. Beyond 100 minutes, the cost is 0.20 dollars per minute up to 300 minutes. For any usage above 300 minutes, the cost is 0.15 dollars per minute. Additionally, a service fee of 5 dollars is added to the total bill. What function represents the total monthly cost C(m) for m minutes used?

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  C(m)=15+0.20(m−100)+5for 100<m≤300100<m≤300, C(m)=15+0.20×200+0.15(m−300)+5 for m>300

  C(m)=15+0.20(m−100)+5 zxc8for m>100m>100

  C(m)=15+5 for m≤100,   C(m)=15+0.20(m−100)+5 for 100<m≤300,C(m)=15+0.20×200+0.15(m−300)+5 for m>300m>300

  C(m)=20+0.10m

The function g(x)=(x−18)(x+15) is given. Determine the x-value where g(x) attains its minimum value.

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