Test Prep Test Prep Certifications SAT2-MATHEMATICS Questions & Answers

• Question 101:

  If 4x+5 = 15, then 10x+5 = ?

  A. 2.5.

  B. 15.

  C. 22.5.

  D. 25.

  E. 30.

  Correct Answer: E

  If 4x+5 = 15, then 4x+10 and x=25 Substitute 2.5 for x in the second equation: 10(2.5) + 5 = 25 + 5 = 30.

• Question 102:

  A music store offers customized guitars. A buyer has four choices for the neck of the guitar, two choices for the body of the guitar, and six choices for the color of the guitar. The music store offers

  A. 12 different guitars.

  B. 16 different guitars.

  C. 24 different guitars.

  D. 36 different guitars.

  E. 48 different guitars.

  Correct Answer: E

  To find the total number of different guitars that are offered, multiply the number of neck choices by the number of body choices by the number of color choices: (4)(2)(6) = 48 different guitars.

• Question 103:

  Which of the following is the midpoint of a line with endpoints at (–2,–8) and (8,0)?

  A. (3,4)

  B. (3,–4)

  C. (–5,4)

  D. (5,–4)

  E. (6,–8)

  Correct Answer: B

  

  The midpoint of a line is equal to the average of the x- and y-coordinates of its endpoints. The average of the x-coordinates

  

  The average of the y-coordinates The midpoint of this line is at (3, -4).

• Question 104:

  

  If m = 6, then the expression is equal to

  A. –12.

  B. –2.

  C. 6.

  D. 12.

  E. 22.

  Correct Answer: B

  

  Substitute 6 for m:

• Question 105:

  

  The radius of the outer circle shown above is 1.2 times greater than the radius of the inner circle. What is

  the area of the shaded region?

  A. 6m2

  B. 9m2

  C. 25m2

  D. 30m2

  E. 36m2

  Correct Answer: B

  Explanation:

  The area of a circle is equal to πr2. The radius of the inner circle is 5 m; therefore, the area of the inner

  circle is 25πm2. The radius of the outer circle is (1.2)(5) = 6 m; therefore, the area of the outer circle is

  36π. Subtract the area of the inner circle from the area of the outer circle: 36π – 25π = 9πm2.

• Question 106:

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: B

  

• Question 107:

  

  The scatter plot above shows the speeds of different runners over time. Which of the following could be the equation of the line of best fit?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: A

  Explanation:

  If a straight line were drawn through as many of the plotted points as possible, it would have a negative slope. The line slopes more sharply than the line y = –x (a line with a slope of-1), so the line would have a slope more negative than-1. The line would also have a y-intercept well above the x – i-axis. The only equation given with a slope more negative than-1is s=-2(t-15).

• Question 108:

  Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds. If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?

  A. 5.3 seconds

  B. 5.4 seconds

  C. 5.5 seconds

  D. 5.6 seconds

  E. 6.3 seconds

  Correct Answer: A

  Melissa's mean time for the first five dashes is

  

  Her times, in order from least to greatest, are: 5.3, 5.4, 5.4, 5.6, and 6.3. The middle score, or median, is

  5.4. The number that appears most often, the mode, is 5.4. A score of 5.3 means that the mean will decrease and that the mode will no longer be 5.4 alone. The mode will now be 5.3 and 5.4. The median, however, will remain 5.4.

• Question 109:

  Which of the following has the greatest value when x = - 1/4?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: E

  

• Question 110:

  

  In the diagram above, lines M and N are parallel. All of the following are true EXCEPT:

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: E

  Angles e and f are vertical angles, so angle e angle f. However, angle d and angle j are not alternating angles. These angles are formed by different transversals. It cannot be stated that angle d = angle j, therefore, it cannot be stated that d + e = f + j.