Questions and Answers of Acing The New SAT Math

The figure is a regular pentagon whose radius is 6.Which of the following equations can be used to find the value of a? P a S 6 X R
What is the area of rhombus ABCD? A D 4 E 5 4 B C
Which of the following equations represents the equation of the circle shown in the xy-plane above? O (5/2) X
What is the area of trapezoid PQRS?A) 64B) 72C) 76D) 84 P 13 15 D R S
The figure shows parallelogram ABCD. Which of the following equations represents the area of parallelogram ABCD? A to В 12 D C
In the figure, PQRS is a parallelogram and PTSis a right triangle. What is the area of the parallelogramPQRS? P 15 T 9 S Q 20 R
The figure shows an equilateral triangle with sides of length a and three squares with sides of length a. If the area of the equilateral triangle is 2√3, what is the sum of the areas of the three
In the figure, ABCD is a rectangle and BCFE is a square. If AB = 40, BC = 16, and m∠AGD = 45, what is the area of the shaded region?A) 240B) 248C) 256D) 264 D 45° 40 E G F B 16 C
The figure is a regular pentagon whose radius is 6.What is the measure of ∠RQS? P a S 6 X R
In the figure. O is the center of the circle and A̅B̅ is a diameter. If the length of A̅C̅ is 4√3 and m∠BAC = 30, what is the area of circle O? в 30° 0 A
Number a is increased by the product of b and c. The result is divided by c and then decreased by b. Finally, that result is multiplied by c. Which of the following is the final result? A) a B)
In the circle, chord R̅S̅ is parallel to diameter PQ. If the length of R̅S̅ is of 3/4 the length of P̄Q̄ and the distance between the chord and the diameter is 2√7, what is the radius of the
In circle O, if the radius is 13 and PR = 24, what is the length of QS?A) 6B) 7C) 8D) 9 P Q S R
A rectangle has a length that is 6 meters more than twice its width. What is the perimeter of the rectangle if the area of the rectangle is 1,620 square meters?
In the figure, BD is a diameter, and PA and PD are tangents to circle O. m∠CDE = 52, m∠APD = 45, and AP = 9.What is the measure of ∠ODC? 52° E D O B A 45° P
In circle O, A̅B̅ is a diameter.What is the value of y? A 100° 0 2° 20 wᵒ D 48° B
In circle O, the area of the circle is 9π and PR = √5. What is the length of QR? R P Q
In the figure, ȂB̑ is an arc of a circle with radius 27 cm.If the length of arc AB is kπ, what is the value of k? 40° 27 A B
In circle O, A̅B̅ is a diameter.What is the value of x? A 100° 0 2° 20 wᵒ D 48° B
The perimeter of a rectangle is 5x and its length is 3/2x. If the area of the rectangle is 294, what is the value of x?
Which of the following is an equation of a circle in the xy-plane with center (−2,0) and a radius with endpoint(0,3/2)? 5 A) (y- x ³² + (x − 3 ) ² = 25 B) x² + (v-²2) ² = ² 4 25 4 C) (x +
In the figure, ȂB̑ is an arc of a circle with radius 27 cm.If the area of sector OAB is nπ, what is the value of n? 40° 27 A B
In the figure, BD is a diameter, and PA and PD are tangents to circle O. m∠CDE = 52, m∠APD = 45, and AP = 9.What is the measure of ∠OCD? 52° E D O B A 45° P
In circle O, A̅B̅ is a diameter.What is the value of z? A 100° 0 2° 20 wᵒ D 48° B
The figure shows arcs of length 8, 7, 6, 5, and 4. If mȂB̑ = 120, what is the degree measure of angle a? A 8 7 6 5 4 B
The figure shows a triangular prism whose base is a equilateral triangle with side lengths x and height √3x. If the volume of the prism is 81/4, what is the value of x?A) 3B) 4C) 5D) 6
In circle O above, A̅B̅ is a diameter.What is the value of w? A 100° 0 2° 20 wᵒ D 48° B
In the figure, BD is a diameter, and PA and PD are tangents to circle O. m∠CDE = 52, m∠APD = 45, and AP = 9.What is the measure of ∠AOD? 52° E D O B A 45° P
Jenny had m magazines to sell for her soccer team fundraiser. She sold j magazines on her own and her sister sold nine less than twice the amount Jenny sold. How many magazines remained unsold in
If r and sare two solutions of the equation, which of the following is the value of r + s? 3x +10x-8=0
If (x,y) is the solution to the system of the equations, what is the value of x + y?A) 2B) 4C) 6D) 8 2=0.5 X 2(x-3) = y
In the figure, a quadrilateral is inscribed in a circle.What is the value of y?A) 75B) 80C) 85D) 90 70° P 80° x R 75° S
The graph of f(x) is shown for −5 ≤ x ≤ 5. How many real solutions does f(x) = 2 have?A) NoneB) 1C) 2D) 3 (-5,0) (0,2) (5,0) X y = f(x)
In the figure, AB = BC. What is the value of x?A) 113B) 118C) 123D) 127 A В 106° с
Which of the following is equivalent to (x2y - 2xy2 + 3xy) -2(xy - xy2 + x2y)? A) 2x²y + xy B) -x²y + xy C) -x²y + 4xy² + xy 2 D) 2x²y+4x²+
The price of a backpack is b dollars, to which t percent of sales tax is added at the counter. What is the price of the backpack after tax in terms of b and t? A) b(1+0.01) dollars B) b(1+t)
The scatter plot shows the perimeters and areas of 10 rectangles. What is the perimeter, in centimeters, of the rectangle represented by the data point that is farthest from the line of best fit (not
If (2x - 3)(x - p) = 2x2 - qx + 12 for all values of x, what is the value of p + q?A) 13B) 15C) 17D) 19
A survey was taken to find the number of hours of internet use per week among 1,500 students.According to the histogram above, which of the following is the closest approximation of the percentage of
A survey was taken to find the number of hours of internet use per week among 1,500 students.Which of the following could be the median number of internet use time per week?A) 9B) 14C) 16D) 18 Number
If a = 5 and b = 3, (ac - 6)+ a(b - c) =
For what value of n is n- |n - 7| equal to 0?
If x and y are positive integers, what is the value of 3x¹ (21)² (2x²y)² -?
A cubic meter of titanium weighs 4,540 kilograms. How much will 2,000 cubic centimeters of titanium weigh, in kilograms? (1 m = 100cm)A) 0.908B) 9.08C) 90.8D) 908
Arnold purchased a shirt and a pair of running shoes. The price of the shirt was s dollars and the price of the running shoes was 10 dollars less than twice the price of the shirt. He paid 8% tax for
A graph and a system of inequalities are shown. hich section of the graph could represent all of the solutions to the system?A) Section AB) Section BC) Section CD) Section D section fx-y
The formula shows the relationship between A, the measure of each angle of a regular polygon, and n, the number of sides of a regular polygon.Which of the following expresses the number of sides in
The formula shows the relationship between A, the measure of each angle of a regular polygon, and n, the number of sides of a regular polygon.For which of the following number of sides will the
If 5 − n ≥ 2, what is the greatest possible value of n + 2?A) 2B) 3C) 4D) 5
When number n is divided by 2/3, the result is the same as 6 less than 2n. What is the value of (2/3)n?A) 12B) 10C) 8D) 6
Danny needs $450 to buy an iPad. He has already saved $120. He plans to earn the rest of the money by working at an office supply store. His savings can be modeled by the equation y = 9.5x + 120, in
A car traveled at an average speed of 65 miles per hour for 4 hours and consumed fuel at a rate of 32 miles per gallon. If the price of gasoline was $2.79 per gallon, what was the cost of gasoline,
The total profit p, in dollars, from producing and selling x units of barbecue grill is given by the function p(x) = kx − (b + 500), in which k and bare constants. When 120 barbecue grills were
If x + 3 is a factor of f(x) = ax2 + bx - 15, in which a and b are constants, what is the value of 3a - b?
Danny needs $450 to buy an iPad. He has already saved $120. He plans to earn the rest of the money by working at an office supply store. His savings can be modeled by the equation y = 9.5x + 120, in
The equation above expresses the height h, in meters, of an object t seconds after it is thrown into the air from the ground with an initial speed of 40 meters per second. After approximately how
If a equals 120 percent of a number, then 40 percent of that number is A) 1 - 3 B) 0.48a C) За D) 4.8a
If the average (arithmetic mean) of 2, a, and b is 2x, what is the average of a and b in terms of x? A) 2x-1 B) 2х-2 C) 3x-1 D) 3x-2
Derek paid $82 for one beanie and one mitten. If the beanie cost $8 more than the mitten, how much did Derek pay for the beanie?
The graph depicts a survey of 400 senior students in a high school who took the AP tests last May. The number of AP tests taken by each student ranges from zero to six.Which of the following is NOT
Which of the following equations represents a line that is parallel to the line shown and contains the point (1/2,3)? (-2.3) y O (1.-3) x
If the linear equation is an identity, what is the value of n?A) −5B) −3C) −1D) 3 1 2 (16 (16-4x)= nx+8+3x
In the right triangle ABC, which of the following must be true? b a C X
If x = 1−a/b, which of the following is equivalent to 1/x? A) B) C) D) b 1+ a b 1-a b-1 a b b-a
In the figure, the radius of circle O is 3. The line segment P̄Q̄ is tangent to circle O and OR = RP. If the area of the shaded region is kπ, what is the value of k? R Q P
In the function, k is a constant. If f(−3) = k, what is the value of f(−3/2)? 1 f(x)==x-k 3
If f(x) = 1/2x - 1, what is f(-2x + 1) equal to? A) -X B) -x+- 2 C) X 1 2 2 1 D) x+- 2
In the figure, ℓ ∥ m and t ⊥ ℓ. What is the value of y?A) 24B) 28C) 32D) 36 m t 2.0 (5x+8)° (3x-4)° Note: Figure not drawn to scale.
In the polynomial f(x) defined, a is a constant. If f(x) is divisible by x, what is the value of a? f(x) = -2(x² +7x-3)-a(x+2)+1
In the xy-plane, (−2,0) and (8,0) are the two x-intercepts of the graph of f. If the minimum value of f is −25/2, which of the following is the y-intercept of the graph of f? (-2,0) y O (8,0) y =
A water tank in the shape of a rectangular prism has a base length of 6 meters and a base width of 4 meters. In the morning, 120 cubic meters of water from the tank was used for planting. In the
In the graph, line y = 1/2x + b intersects 2 the y-axis at point (a, b) and intersects the x-axis at point (c, d). If the value of b is equal to -3.5, what is the value of c?A) 5.5B) 7C) 8.5D) 10
If the slope of a line in the xy-plane that passes through the points (1/2,-1) and (2,b) is 8/3, what is the value of b?
The value V, in dollars, of an artist’s painting t years after it was purchased is given by the function V(t) = 5,000(4)t/10. What is the value, in dollars, of the painting 15 years after it was
The length and width of a large picture are respectively 18 inches and 12 inches. If each dimension is reduced by x inches to make the ratio of length to width 5 to 3, what is the value of x?A) 6B)
If y = kx2, in which k is a constant, and y = -12 when x = -4, what is the value of y when x = 2?A) −6B) −3C) 3D) 6
In a music store, 25% of the compact discs are classical. Out of these, 60% are on sale. If not more than 450 classical CDs are on sale, what could be the maximum number of CDs in the store?A)
The graph of a line on the xy-plane passes through points (−3, 1) and (3, 5). The graph of a second line contains the point (6,0). If the two lines are parallel, what is the y-intercept of the
In the xy-plane above. O is the center of the unit circle, and the measure of ∠POQ is kn radians. If sin(kπ) = a, which of the following could be sin(kπ + π)? P(x,y) АУ kл Q X
If the ordered pair (x, y) satisfies the system of equations shown above, what is the value of x? 2 5 2 7 X 1 5 y = 98 1 x+y=55 14
For what value of x is the function above undefined? p(x) = 2x-1 (x-4)²2-6(x-4) +9
Real numbers a and b are positive, and the ratio of a to b is 2.25 times the ratio of b to a. What is the value of a/b?
Which of the following equations represents a line that is parallel to the line with the equation 2 y ==x+2? 3
In the quadratic equation above, a is a nonzero constant. The graph of the equation in the xy-plane has the vertex (h,k). If the value of k is −8, what is the value of a? y = a(x+3)(x-5)
Ifwhat is the value of ab? 3(a+b)² 3(a-6)² = 343.
The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.The mean value of 500 homes in a
When Jay was on vacation in China, the exchange rate for Chinese yuan to US dollars was 6.14 yuan per dollar. On her vacation in China, Jay bought two one-day Beijing tour tickets for 320 yuan each.
For which of the following ordered pairs (x,y) is y > x - 4 and x + y < 5? A) (0,-5) B) (0.2) C) (5.3) D) (4,-2)
If a number p increased by 120 percent equals a number q decreased by 20 percent, which of the following is true? 5 A) q=² / p 11 B) q=P 4 c) q=2P 15 D) q=p 4
Kay purchased a total of 8 bags of Colombia Coffee and Roast Espresso. Each bag of Columbia Coffee costs $25 and each bag of Roast Espresso costs $35. If Kay paid $230 for the coffee and espresso,
If x4 · x9 = xn · xn,what is the value of n?
In the xy-plane, a parabola with the equation y = (x + 3)2 + 9 intersects a line with the equation y = -7 at two points, P and Q. What is the length of P̄Q̄?
If (x + 2) is a factor of f(x) = x3 + x2 + x + c, and (-1, p) lies on the graph of f, what is the value of p?
For the function h defined, p is a constant and h = (2)−1. What is the value of h(p)? h(x) = -px² +1
Which of the following is closest to the mean of the prices of the 670 automobiles sold in April and May?A) $19,600B) $19,700C) $19,800D) $19,900 AUTOMOBILES SOLD AT MAX CAR DEALER,
What is the percent increase of the mean price of automobiles sold from May to June?A) 7%B) 7.5%C) 8%D) 8.5% AUTOMOBILES SOLD AT MAX CAR DEALER, APRIL-AUGUST Number of Automobiles Sold Month
Max Car Dealer collected a tax equal to 8 percent of the price of each automobile sold in August. Approximately how much did Max Car Dealer collect in taxes from all automobiles sold in August?A)
If the expression is rewritten in the form a + bi, in which a and b are real numbers, what is the value of b? 3-i√√3 1-i√√3
The figure above shows a rectangle with a diagonal of length d. Which of the following equations represents the area of the rectangle? d length width
The complete graph of function f is shown in the xy-plane above, for -5 ≤ x ≤ 5. Which of the following are true?I. f is strictly increasing then strictly decreasing for −1< x < 3.II.

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