Module I: Math

SAT Practice Test 9

 Samantha cycles at a speed of 4 miles per hour and skateboards at a speed of 6 miles per hour. She cycles for cc hours and skateboards for ss hours for a combined total of 20 miles. Which equation represents this situation?

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Line m passes through the points (2,3) and (6,15). Which equation correctly represents line m?

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  y = 4x - 5

  y = 3x - 3

  y = -3x + 9

  y = 2x + 1

If 5x+2y=20 and xy=3, what is the value of y?

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You can either walk to your nearby store in 10 minutes or take a bus that gets you there in 6 minutes. The next bus comes in t minutes, where t varies between 1 and 15 minutes. Which of the following inequalities gives the values of t for which walking is faster?

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t > 4

t < 4

t > 6

t < 10

 

 

 

The histogram represents the distribution of scores in a math test taken by 1000 students. The horizontal axis represents the scores, ranging from 20 to 80, divided into bins of equal width. The vertical axis represents the frequency of students scoring within each bin. Based on the histogram, in which score ranges below did the largest number of students lie in?

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20 - 30

30 - 40

50 - 60

70 - 80

Which expression is equivalent to ?

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Consider the equation ​. In this equation, p and n are constants, and n>3. The equation has no solution. What is p equal to

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  - 5

  - 4

  

  

Square X has a length of a cm and a width of b cm. Square Y has a perimeter that is 36 cm more than the perimeter of rectangle X. What function describes the area of square Y?

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Which expression is NOT a factor of ?

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x + 4

3x - 2

x - 2

All are factors

The equation   represents a circle in the xy-plane. What is the length of the radius of this circle?

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The function T(y)=60000+2500y models the salary T in dollars for y years of experience. If a person gains 3 years of experience, how much will their salary increase?

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Triangle ABC is similar to triangle DEF. The sides of triangle ABC are in the ratio 3:4:5. The shortest side of triangle DEF is 12 units. What is the perimeter of triangle DEF?

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48

30

12

6

For the function hh(5)=20, and for each increase in x by 1, the value of h(x) increases by 5%. What is the value of h(10) rounded to the nearest whole number?

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Determine the ordered pair (x, y) that is a solution to the equations 2x y = 4 and x + y = x−3.

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(1, 3)

(2, )

(, -3)

(4, 0)

The equation 4x−5y=10 has an x-intercept at (u,0) and a y-intercept at (0,v). What is ​?

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The surface area of a cube is , where c is a non-negative constant. What is the length of one edge of the cube?

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A box contains 5 red balls and 10 green balls. What is the probability of drawing two red balls in a row without replacement?

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If , what is the axis of symmetry of g(x)?

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  x = -16

  x = -4

  x = 16

  x = 19

A cube has a volume of 216 cubic units. What is the total surface area of the cube in square units?

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  72

  144

  216

  324

In a study of exercise habits, 799 randomly selected US teens were asked how often they exercised daily and about their exercise intensity. For light exercise intensity, 110 teens exercised daily and 146 did not, totaling 256. For medium exercise intensity, 139 teens exercised daily and 164 did not, totaling 303. For heavy exercise intensity, 166 teens exercised daily and 74 did not, totaling 240. The overall totals are 415 teens who exercised daily and 384 who did not, summing to 799 teens in the study. Based on the data from the study, an estimate of the percent of US teens who are heavy exercisers is 30%, and the associated margin of error is 3%. What is the most plausible value of the true percent of US teens who are heavy exercisers?”

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  The most plausible value of the true percent of US teens who are heavy exercisers is above 35%.

  The most plausible value of the true percent of US teens who are heavy exercisers is between 27% and 33%.

  The most plausible value of the true percent of US teens who are heavy exercisers is below 26%.

  The most plausible value of the true percent of US teens who are heavy exercisers is unknown.

The density of a certain type of metal is 7800 kilograms per cubic meter. A sample of this type of metal is in the shape of a sphere and has a mass of 234 kilograms. To the nearest hundredth of a meter, what is the radius of this sample?

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  0.19

  0.39

  19.1

  42.5

Function , where j and k are constants. The graph of y=f(x) crosses the x-axis at (2,0) and the y-axis at (0,−250). J has two possible values, one negative and one positive. What is the positive value of j rounded to the nearest hundredth digit?

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