Official College Board SAT Practice Test 11, nonadaptive paper format — Math Module 1.
27 questions · Free online practice
Open the interactive worksheetQuestion 1
The measure of angle upper P is 24°. The measure of angle upper Q is 132°. The measure of angle upper R is x°. A note indicates the figure is not drawn to scale. In the triangle shown, P Q = Q R . What is the value of x ? A. 156 B. 66 C. 48 D. 24
Question 2
4 x + 1 = 33 Which equation has the same solution as the given equation? A. 4 x = 32 B. 4 x = 5 C. 4 x = 1 D. 4 x = - 32
Question 3
For the linear function f , the graph of y = f ( x ) in the xy -plane has a slope of 7 and passes through the point ( 0 , 5 ) . Which equation defines f ? A. f ( x ) = 5 x B. f ( x ) = 35 x C. f ( x ) = 7 x + 5 D. f ( x ) = 12 x + 5
Question 4
8 x 2 - 40 = 32 What is the positive solution to the given equation? A. 3 B. 4 C. 9 D. 72
Question 5
A total of 50 children attended a summer camp and were offered 4 types of sandwiches. The table shows the number of children who chose each type of sandwich. Type of sandwich Number of children Turkey 15 Chicken 23 Ham 3 Vegetarian 9 Total 50 If one of these children is selected at random, what is the probability of selecting a child who chose a vegetarian sandwich? A. 9 100 B. 9 50 C. 1 4 D. 9 10
Question 6
Amara grows cherry tomatoes in her backyard. This year, she harvested 750 cherry tomatoes and gave 10 % of them to her neighbor. How many of the harvested cherry tomatoes did Amara give to her neighbor?
Question 7
x + y = 125 x + y + y = 155 The solution to the given system of equations is ( x , y ) . What is the value of y ?
Question 8
In a chess tournament, each participant earns 1 point for each game the participant plays that ends in a draw and 3 points for each game the participant wins. A certain participant in this tournament has earned 41 points. Which equation represents this situation, where d represents the number of games this participant has played that ended in a draw and w represents the number of games this participant has won? A. d + 3 w = 41 B. 3 d + w = 41 C. d + w 3 = 41 D. d 3 + w = 41
Question 9
The function g is defined by g ( x ) = x + 300 . What is the value of g ( x ) when x = 81 ? A. 9 B. 300 C. 309 D. 381
Question 10
A cable provider wanted to know how many of its 30,000 customers would be interested in a new service plan. The provider selected 300 customers at random and asked each customer whether the customer would be interested in the new plan. Of those surveyed, 8 said they would be interested. Which of the following is the best estimate of the total number of customers who would be interested in the new service plan? A. 8 B. 80 C. 800 D. 8,000
Question 11
Which expression is equivalent to 64 t 2 s 3 - 56 t 3 s ? A. 4 t s ( 16 s 2 - 14 t s ) B. 4 t s ( 16 t 2 s 2 - 14 t ) C. 4 t 2 s ( 16 t s - 14 s ) D. 4 t 2 s ( 16 s 2 - 14 t )
Question 12
x + 5 = 14 y = 4 x 2 + 4 At what point ( x , y ) do the graphs of the equations in the given system intersect? A. ( 9 , 324 ) B. ( 9 , 328 ) C. ( 14 , 4 ) D. ( 14 , 788 )
Question 13
8 x + 11 y = 170 The equation gives the possible combinations of the number of 2009 premium grade Log Cabin Pennies, x , and the number of 1996 select grade Lincoln Pennies, y , in a collection that is worth a total of $ 170 . If there are 6 1996 select grade Lincoln Pennies in the collection, how many 2009 premium grade Log Cabin Pennies are in the collection?
Question 14
The population of the town of Smithville doubled every 75 years from 1659 to 1959 . The population of this town was 240,000 in 1959 . What was the population of this town in 1659 ?
Question 15
The scatterplot shows the relationship between x and y . A line of best fit is also shown. The scatterplot has 5 data points. The data points are in a linear pattern trending up from left to right. A line of best fit is shown: The line of best fit slants up from left to right. The line of best fit passes through the following approximate coordinates: (0 comma 3.20) (1 comma 3.80) (2 comma 4.40) Which of the following is closest to the slope of this line of best fit? A. 0.60 B. 2.50 C. 7.80 D. 8.00
Question 16
Which quadratic equation has exactly one distinct real solution? A. ( x + 15 ) 2 = 0 B. ( x + 15 ) 2 = - 45 C. ( x + 15 ) 2 = 45 D. ( x + 15 ) 2 = 135
Question 17
The cost to rent a bus from Company X is $ 950 for the first 3 hours and an additional $ 50 per hour for each hour after the first 3 hours. If the total cost to rent the bus from Company X for t hours, where t > 3 , is $ 1,150 , which equation represents this situation? A. 950 ( t - 3 ) + 50 t = 1,150 B. 950 ( 3 t ) + 50 t = 1,150 C. 950 + 50 ( t - 3 ) = 1,150 D. 950 + 50 ( 3 t ) = 1,150
Question 18
x + y = 53 11 x + 18 y = 730 The given equations represent the possible numbers of beach chairs, x , and umbrellas, y , rented at a park last month and the total spent, in dollars, to rent those beach chairs and umbrellas. Which of the following graphs represents this situation? A. 10 20 30 40 50 60 70 80 x 10 20 30 40 50 60 70 80 y O For the first line in the system: The line slants gradually down from left to right. The line passes through the following approximate points: (0 comma 41) (66 comma 0) For the second line in the system: The line slants gradually up from left to right. The line passes through the following points: (0 comma 0) (50 comma 50) The 2 lines intersect at 1 point. B. 10 20 30 40 50 60 70 80 x 10 20 30 40 50 60 70 80 y O For the first line in the system: The line slants gradually down from left to right. The line passes through the following points: (0 comma 53) (53 comma 0) For the second line in the system: The line slants gradually down from left to right. The line passes through the following approximate points: (0 comma 41) (66 comma 0) The 2 lines intersect at 1 point. C. 10 20 30 40 50 60 70 80 x 10 20 30 40 50 60 70 80 y O For the first line in the system: The line slants gradually down from left to right. The line passes through the following points: (0 comma 53) (53 comma 0) For the second line in the system: The line slants gradually up from left to right. The line passes through the following approximate points: (0 comma 41) (30 comma 59) The 2 lines intersect at 1 point. D. 10 20 30 40 50 60 70 80 x 10 20 30 40 50 60 70 80 y O For the first line in the system: The line is horizontal. The line passes through the following points: (0 comma 53) (30 comma 53) For the second line in the system: The line slants gradually up from left to right. The line passes through the following approximate points: (0 comma 41) (30 comma 59) The 2 lines intersect at 1 point.
Question 19
Angle upper R is a right angle. The length of side upper R upper S is 18. A note indicates the figure is not drawn to scale. In triangle Q R S shown, Q R < R S . Which expression represents the length of Q S ¯ ? A. 18 cos Q B. 18 sin Q C. 18 cos Q D. 18 sin Q
Question 20
Circle A in the xy -plane has the equation ( x + 5 ) 2 + ( y - 5 ) 2 = 25 . Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the xy -plane is ( x + 5 ) 2 + ( y - 5 ) 2 = k , where k is a constant. What is the value of k ?
Question 21
x 2 + 7 x + 5 = 0 One solution to the given equation can be written as x = - 7 + k 2 , where k is a constant. What is the value of k ?
Question 22
A scientist measured the lengths of 240 gray seals from Muskeget Island and 120 gray seals from Sable Island. The scientist determined that the mean length of the 240 gray seals from Muskeget Island was 88 inches and the mean length of the 120 gray seals from Sable Island was 94 inches. What was the mean length of all 360 gray seals the scientist measured for this study? A. 89 B. 90 C. 91 D. 92
Question 23
‒1 1 2 3 4 5 x ‒4 ‒2 2 4 6 8 10 y O Moving from left to right: The curve passes from quadrant 2 to quadrant 1 to quadrant 4. In quadrant 2, the curve trends down gradually to the point (0 comma 8). In quadrant 1: The curve trends down gradually to the approximate point (1 comma 6.0). The curve then trends down sharply to the x axis. In quadrant 4, the curve trends down sharply. As x decreases, the curve approaches the line y equals 9. The curve passes through the following points: (0 comma 8) (1 comma 6) The graph of y = f ( x ) + 4 is shown. Which equation defines function f ? A. f ( x ) = - 3 x + 1 B. f ( x ) = - 3 x + 5 C. f ( x ) = - 3 x + 8 D. f ( x ) = - 3 x + 9
Question 24
Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is ( 9 x - 140 ) ° . Which of the following could NOT be the sum of the measures of any two of these angles? A. ( - 18 x + 280 ) ° B. ( - 18 x + 640 ) ° C. ( 18 x - 280 ) ° D. 180 °
Question 25
2 x + 9 y = 7 The given equation is one equation in a system of two linear equations. If the system of equations has at least one solution, which of the following equations could be the other equation in the system? 3 x + 13.5 y = 10.5 3 x - 13.5 y = 10.5 A. I only B. II only C. I and II D. Neither I nor II
Question 26
A right rectangular prism has a base area of 24 t square centimeters ( cm 2 ) . The length of the base of the rectangular prism is 8 3 cm , and the height of the rectangular prism is 15 cm . Which expression represents the surface area, in cm 2 , of the right rectangular prism? A. 48 t + 160 B. 318 t + 80 C. 1,968 t + 80 D. 360 t
Question 27
For a particular car, the linear function f gives the predicted power, in brake horsepower ( bhp ) , for engine speeds between 1,000 revolutions per minute ( rpm ) and 6,000 rpm . According to this function, the car's predicted power is 433 bhp at an engine speed of 3,331 rpm and 600 bhp at an engine speed of 4,500 rpm . The equation f ( x ) = 1 7 ( x - a ) + 433 defines f , where x is the engine speed, in rpm , and a is a constant. What is the value of a ?