Test Prep Test Prep Certifications SAT2-MATHEMATICS Questions & Answers

• Question 111:

  The function m # n is equal to m2 – n. Which of the following is equivalent to m#(n # m)?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: C

  Explanation: M#n is a function definition. The problem is saying “m#n” is the same as “m2– n”. If m#n isn2– n, then n#misn2– m. So, to find m#(n#m), replace (n#m) with the value of (n#m), which isn2– m:m#(n2 – m). Now, use the function definition again. The function definition says “take the value before the # symbol, square it, and subtract the value after the # symbol”: m squared ism2minus the second term, (n2– m), is equal tom2-(n2– m) = m2– n2+ m.

• Question 112:

  The length of an edge of a cube is equal to half the height of a cylinder that has a volume of 160 cubic units. If the radius of the cylinder is 4 units, what is the surface area of the cube?

  A. 64 square units

  B. 96 square units

  C. 100 square units

  D. 125 square units

  E. 150 square units

  Correct Answer: E

  The volume of a cylinder is equal to r2h. The volume of the cylinder is 160 and its radius is 4. Therefore, the height of the cylinder is equal to:160 = (4)2h160 = 16hh = 10 The length of an edge of the cube is equal to half the height of the cylinder. The edge of the cubes 5 units. The surface area of a cube is equal to 6e2, where e is the length of an edge of the cube. The surface area of the cube = 6(5)2= 6(25) = 150 square units.

• Question 113:

  

  

  If 0.34 < x < 0.40 and which of the following could be x?

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: C

  5/16= 0.3125 and 9/20= 0.45; 3/8= 0.375 which is between 0.34 and 0.40, and between 0.3125 and 0.45.

• Question 114:

  A store prices a coat at $85. During a sale, the coat is sold at 20% off. After the sale, the store raises the price of the coat 10% over its sale price. What is the price of the coat now?

  A. $18.70

  B. $61.20

  C. $68.00

  D. $74.80

  E. $93.50

  Correct Answer: D

  20% of $85 = (0.20) ($85) = $17.While on sale, the coat is sold for $85 ?$17 = $68; 10% of $68 = (0.10) ($68) = $6.80. After the sale, the coat is sold for $68 + $6.80 = $74.80.

• Question 115:

  The expression 4x2 – 2x + 3 is equal to 3 when x = 0 and when x =

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: E

  Set the expression 4x2– 2x +3 equal to 3 and solve for x:

  

• Question 116:

  A spinner is divided into eight equal regions, labeled one through eight. If Jenna spins the wheel, what is the probability that she will spin a number that is less than four and greater than two?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: A

  There are three numbers on the wheel that are less than four (1, 2, 3), but only one of those numbers (3) is greater than two. The probability of Jenna spinning a number that is both less than 4 and greater than 2 is 1/8.

• Question 117:

  When x= –3, the expression –2x2 + 3x – 7 =

  A. –34.

  B. –27.

  C. –16.

  D. –10.

  E. 2.

  Correct Answer: A

  Explanation:

  Substitute –3 for x:–2(–3)2+ 3(–3) – 7 = –2(9) – 9 – 7 = –18 – 16 = –34

• Question 118:

  What is the slope of the line –3y = 12x – 3?

  A. –4

  B. –3

  C. 1

  D. 4

  E. 12

  Correct Answer: A

  First, convert the equation to slope-intercept for m:y= m x+b Divide both sides of the equation by –3:

  

  The slope of a line written in this form is equal to the coefficient of the x term. The coefficient of the term is -4, so the slope of the line is -4

• Question 119:

  SIMULATION

  The ratio of the number of linear units in the circumference of a circle to the number of square units in the area of that circle is 2:5.What is the radius of the circle?

  A. 5

  Correct Answer: A

  The circumference of a circle = 2r and the area of a circle = r2. If the ratio of the number of linear units in the circumference to the number of square units in the area is 2:5, then five times the circumference is equal to twice the area:

  

  The radius of the circle is equal to 5.

• Question 120:

  Which of the following number pairs is in the ratio 4:5?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: B

  Two numbers are in the ratio 4:5 if the second number is 5/4 times the value of the first number; 1/4 is 5/4 times the value of 1/5.