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Question ID c50ede6d ID: c50ede6d The total cost, in dollars, to rent a surfboard consists of a service fee and a per hour rental fee. A person rents a surfboard for hours and intends to spend a maximum of to rent the surfboard. Which inequality represents this situation? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear inequalities in one or two variables Difficulty LT1 M 1.3 Question ID 029c2dc2 ID: 029c2dc2 A teacher is creating an assignment worth points. The assignment will consist of questions worth point and questions worth points. Which equation represents this situation, where represents the number of -point questions and represents the number of -point questions? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear equations in two variables Difficulty LT1 M 1.8 Question ID 4ff7b652 ID: 4ff7b652 Right triangles and are similar, where and correspond to and , respectively. Angle has a measure of . What is the measure of angle ? A. B. C. D. Assessment SAT Test Math Domain Geometry and Trigonometry Skill Lines, angles, and triangles Difficulty LT1 M 1.9 Question ID 4ec95eab ID: 4ec95eab The solution to the given system of equations is . What is the value of ? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Systems of two linear equations in two variables Difficulty LT1 M 1.10 Question ID 7038b587 ID: 7038b587 Vivian bought party hats and cupcakes for . Each package of party hats cost , and each cupcake cost . If Vivian bought packages of party hats, how many cupcakes did she buy? Assessment SAT Test Math Domain Algebra Skill Linear equations in two variables Difficulty LT1 M 1.13 Question ID 717a1964 ID: 717a1964 What is one of the solutions to the given equation? Assessment SAT Test Math Domain Advanced Math Skill Nonlinear equations in one variable and systems of equations in two variables Difficulty LT1 M 1.14 Question ID 26eb61c1 ID: 26eb61c1 Which expression is equivalent to ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Equivalent expressions Difficulty LT1 M 1.16 Question ID 2e0290c3 ID: 2e0290c3 The graph shows the relationship between the number of shares of stock from Company A, , and the number of shares of stock from Company B, , that Simone can purchase. Which equation could represent this relationship? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear equations in two variables Difficulty LT1 M 1.18 Question ID f329442c ID: f329442c Circle has a radius of and circle has a radius of , where is a positive constant. The area of circle is how many times the area of circle ? A. B. C. D. Assessment SAT Test Math Domain Geometry and Trigonometry Skill Area and volume Difficulty LT1 M 1.19 Question ID a456cfd2 ID: a456cfd2 Data value Frequency The frequency table summarizes the data values in a data set. What is the maximum data value in the data set? Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill One-variable data: Distributions and measures of center and spread Difficulty LT1 M 1.20 Question ID ebbf23ae ID: ebbf23ae A circle in the xy-plane has a diameter with endpoints and . An equation of this circle is , where is a positive constant. What is the value of ? Assessment SAT Test Math Domain Geometry and Trigonometry Skill Circles Difficulty LT1 M 1.21 Question ID c7c6445f ID: c7c6445f A certain town has an area of square miles. What is the area, in square yards, of this town? A. B. C. D. Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Ratios, rates, proportional relationships, and units Difficulty LT1 M 1.23 Question ID 9bbce683 ID: 9bbce683 For line , the table shows three values of and their corresponding values of . Line is the result of translating line down units in the xy-plane. What is the x-intercept of line ? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear equations in two variables Difficulty LT1 M 1.24 Question ID a54753ca ID: a54753ca In the xy-plane, the graph of the equation intersects the line at exactly one point. What is the value of ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear equations in one variable and systems of equations in two variables Difficulty LT1 M 1.25 Question ID 75012ee7 ID: 75012ee7 For each real number , which of the following points lies on the graph of each equation in the xy-plane for the given system? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Systems of two linear equations in two variables Difficulty LT1 M 1.26 Question ID a4bd60a3 ID: a4bd60a3 The perimeter of an equilateral triangle is centimeters. The height of this triangle is centimeters, where is a constant. What is the value of ? Assessment SAT Test Math Domain Geometry and Trigonometry Skill Right triangles and trigonometry Difficulty LT1 M 1.27 Question ID 551c52b9 ID: 551c52b9 Tilly earns dollars for every hours of work. Which expression represents the amount of money, in dollars, Tilly earns for hours of work? A. B. C. D. Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Ratios, rates, proportional relationships, and units Difficulty LT1 M 2.1 Question ID c4d49134 ID: c4d49134 The equation gives the speed , in miles per hour, of a certain car seconds after it began to accelerate. What is the speed, in miles per hour, of the car seconds after it began to accelerate? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear functions Difficulty LT1 M 2.4 Question ID aad7e1b9 ID: aad7e1b9 The function is defined by . What is the y-intercept of the graph of in the xy-plane? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear functions Difficulty LT1 M 2.8 Question ID a26c29f7 ID: a26c29f7 The function is defined by . In the xy-plane, the graph of is the result of shifting the graph of down units. Which equation defines function ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT1 M 2.9 Question ID a67a439d ID: a67a439d Which ordered pair is a solution to the given system of equations? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear equations in one variable and systems of equations in two variables Difficulty LT1 M 2.10 Question ID 5805e747 ID: 5805e747 Which expression is equivalent to ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Equivalent expressions Difficulty LT1 M 2.11 Question ID 4b09f783 ID: 4b09f783 A list of data values is shown. , , , , , , , , , What is the mean of these data? Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill One-variable data: Distributions and measures of center and spread Difficulty LT1 M 2.14 Question ID b7cd6ca6 ID: b7cd6ca6 The equation gives the estimated number of employees at a restaurant, where is the number of years since the restaurant opened. Which of the following is the best interpretation of the number in this context? A. The estimated number of employees when the restaurant opened B. The increase in the estimated number of employees each year C. The number of years the restaurant has been open D. The percent increase in the estimated number of employees each year Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT1 M 2.15 Question ID 341ba5db ID: 341ba5db What is the minimum value of the given function? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions DifficultyLT1 M 2.16 Question ID ba61d95f ID: ba61d95f The population of Greenville increased by from to . If the population is times the population, what is the value of ? A. B. C. D. Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Percentages Difficulty LT1 M 2.18 Question ID 42f19012 ID: 42f19012 Which expression is equivalent to , where ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Equivalent expressions Difficulty LT1 M 2.19 Question ID 74c98c82 ID: 74c98c82 An event planner is planning a party. It costs the event planner a onetime fee of to rent the venue and per attendee. The event planner has a budget of . What is the greatest number of attendees possible without exceeding the budget? Assessment SAT Test Math Domain Algebra Skill Linear inequalities in one or two variables Difficulty LT1 M 2.20 Question ID 9966235e ID: 9966235e A cube has an edge length of inches. A solid sphere with a radius of inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere? A. B. C. D. Assessment SAT Test Math Domain Geometry and Trigonometry Skill Area and volume Difficulty LT1 M 2.22 Question ID b0a72bdc ID: b0a72bdc What is the diameter of the circle in the xy-plane with equation ? A. B. C. D. Assessment SAT Test Math Domain Geometry and Trigonometry Skill Circles Difficulty LT1 M 2.23 Question ID 08d03fe4 ID: 08d03fe4 For the exponential function , the value of is , where is a constant. Which of the following equivalent forms of the function shows the value of as the coefficient or the base? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT1 M 2.24 Question ID ce579859 ID: ce579859 A model estimates that at the end of each year from to , the number of squirrels in a population was more than the number of squirrels in the population at the end of the previous year. The model estimates that at the end of , there were squirrels in the population. Which of the following equations represents this model, where is the estimated number of squirrels in the population years after the end of and ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty msup msup msup msup LT1 M 2.25 Question ID a35c7164 ID: a35c7164 In the given pair of equations, and are constants. The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear equations in two variables Difficulty LT1 M 2.26 Question ID 4a2264b3 ID: 4a2264b3 The line graph shows the percent of cars for sale at a used car lot on a given day by model year. For what model year is the percent of cars for sale the smallest? A. B. C. D. Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Two-variable data: Models and scatterplots Difficulty LT2 M 1.1 Question ID b8150b17 ID: b8150b17 For a particular machine that produces beads, out of every beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has a defect? A. B. C. D. Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Probability and conditional probability Difficulty LT2 M 1.2 Question ID eac739b2 ID: eac739b2 If , what is the value of ? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear equations in one variable Difficulty LT2 M 1.11 Question ID 67f4b449 ID: 67f4b449 The function gives the area of a rectangle, , if its width is and its length is times its width. Which of the following is the best interpretation of ? A. If the width of the rectangle is , then the area of the rectangle is . B. If the width of the rectangle is , then the length of the rectangle is . C. If the width of the rectangle is , then the length of the rectangle is . D. If the width of the rectangle is , then the area of the rectangle is . Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT2 M 1.16 Question ID 6ecdbcb4 ID: 6ecdbcb4 The function is given. Which table of values represents ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT2 M 1.22 Question ID 2e92cc21 ID: 2e92cc21 The number is greater than the number . The number is less than . What is the value of ? Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Percentages Difficulty LT2 M 1.27 Question ID 35bec412 ID: 35bec412 , , , , , , , , What is the median of the data shown? Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill One-variable data: Distributions and measures of center and spread Difficulty LT2 M 2.6 Question ID 608eeb6e ID: 608eeb6e The solution to the given system of equations is . What is the value of ? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Systems of two linear equations in two variables Difficulty LT2 M 2.8 Question ID 52931bfa ID: 52931bfa Which expression is equivalent to , where ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Equivalent expressions Difficulty LT2 M 2.15 Question ID 1f353a9e ID: 1f353a9e The given function models the number of coupons a company sent to their customers at the end of each year, where represents the number of years since the end of , and . If is graphed in the ty- plane, which of the following is the best interpretation of the y-intercept of the graph in this context? A. The minimum estimated number of coupons the company sent to their customers during the years was . B. The minimum estimated number of coupons the company sent to their customers during the years was . C. The estimated number of coupons the company sent to their customers at the end of was . D. The estimated number of coupons the company sent to their customers at the end of was . Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT2 M 2.17 Question ID 5e08a055 ID: 5e08a055 One of the equations in a system of two linear equations is given. The system has no solution. Which equation could be the second equation in the system? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Systems of two linear equations in two variables Difficulty LT2 M 2.19 Question ID 1362ccde ID: 1362ccde The solution to the given system of equations is . What is the value of ? Assessment SAT Test Math Domain Algebra Skill Systems of two linear equations in two variables Difficulty LT2 M 2.21 Question ID 9d159400 ID: 9d159400 Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point? A. B. C. D. Assessment SAT Test Math Domain Geometry and Trigonometry Skill Circles Difficulty msup msup msup msup LT2 M 2.24 Question ID 47624288 ID: 47624288 The table gives the distribution of votes for a new school mascot and grade level for students. Mascot Grade level Sixth Seventh Eighth Total Badger Lion Longhorn Tiger Total If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion? A. B. C. D. Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Probability and conditional probability Difficulty LT3 M 1.8 Question ID 24854644 ID: 24854644 What is theequation of the line that passes through the point and is parallel to the graph of in the xy-plane? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear equations in two variables Difficulty LT3 M 1.11 Question ID 6efcc0a3 ID: 6efcc0a3 In the linear function , and . Which equation defines ? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear functions Difficulty LT3 M 1.12 Question ID 8c515062 ID: 8c515062 A candle is made of ounces of wax. When the candle is burning, the amount of wax in the candle decreases by ounce every hours. If ounces of wax remain in this candle, for how many hours has it been burning? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear equations in one variable Difficulty LT3 M 1.15 Question ID 203774bc ID: 203774bc The product of two positive integers is . If the first integer is greater than twice the second integer, what is the smaller of the two integers? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT3 M 1.18 Question ID 040f2a84 ID: 040f2a84 The regular price of a shirt at a store is . The sale price of the shirt is less than the regular price, and the sale price is greater than the store's cost for the shirt. What was the storeʼs cost, in dollars, for the shirt? (Disregard the sign when entering your answer. For example, if your answer is , enter ) Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Percentages Difficulty LT3 M 1.21 Question ID 20291f47 ID: 20291f47 Which expression is equivalent to ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Equivalent expressions Difficulty LT3 M 1.25 Question ID 24cec8d1 ID: 24cec8d1 A circle has center , and points and lie on the circle. In triangle , the measure of is . What is the measure of , in degrees? (Disregard the degree symbol when entering your answer.) Assessment SAT Test Math Domain Geometry and Trigonometry Skill Circles Difficulty LT3 M 2.13 Question ID 7efe5495 ID: 7efe5495 The solution to the given system of equations is . What is the value of ? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Systems of two linear equations in two variables Difficulty LT3 M 2.15 Question ID 1fe10d97 ID: 1fe10d97 The given function models the population of Lowell years after a census. Which of the following functions best models the population of Lowell months after the census? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT3 M 2.17 Question ID 98958ae8 ID: 98958ae8 Data set A consists of the heights of objects and has a mean of meters. Data set B consists of the heights of objects and has a mean of meters. Data set C consists of the heights of the objects from data sets A and B. What is the mean, in meters, of data set C? Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill One-variable data: Distributions and measures of center and spread Difficulty LT3 M 2.20 Question ID a8ae0d22 ID: a8ae0d22 Two variables, and , are related such that for each increase of in the value of , the value of increases by a factor of . When , . Which equation represents this relationship? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty msup msup msup msup LT3 M 2.22 Question ID d65b9a87 ID: d65b9a87 The dot plots represent the distributions of values in data sets A and B. Which of the following statements must be true? I. The median of data set A is equal to the median of data set B. II. The standard deviation of data set A is equal to the standard deviation of data set B. A. I only B. II only C. I and II D. Neither I nor II Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill One-variable data: Distributions and measures of center and spread Difficulty LT3 M 2.24 Question ID 568d66a7 ID: 568d66a7 An isosceles right triangle has a perimeter of inches. What is the length, in inches, of one leg of this triangle? A. B. C. D. Assessment SAT Test Math Domain Geometry and Trigonometry Skill Right triangles and trigonometry Difficulty LT3 M 2.25 Question ID 1ce9ffcd ID: 1ce9ffcd In the given equation, is a constant. The equation has exactly one solution. What is the value of ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear equations in one variable and systems of equations in two variables Difficulty LT3 M 2.26 Question ID ff501705 ID: ff501705 In the given system of equations, is a constant. If the system has no solution, what is the value of ? Assessment SAT Test Math Domain Algebra Skill Systems of two linear equations in two variables Difficulty LT3 M 2.27 Question ID ce940f80 ID: ce940f80 What is a solution to the given equation? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear equations in one variable and systems of equations in two variables Difficulty LT4 M 1.3 Question ID 776cfa7c ID: 776cfa7c Hana deposited a fixed amount into her bank account each month. The function gives the amount, in dollars, in Hana's bank account after monthly deposits. What is the best interpretation of in this context? A. With each monthly deposit, the amount in Hana's bank account increased by . B. Before Hana made any monthly deposits, the amount in her bank account was . C. After monthly deposit, the amount in Hana's bank account was . D. Hana made a total of monthly deposits. Assessment SAT Test Math Domain Algebra Skill Linear functions Difficulty LT4 M 1.5 Question ID 50b2807e ID: 50b2807e The scatterplot shows the relationship between two variables, and . Which of the following equations is the most appropriate linear model for the data shown? A. B. C. D. Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Two-variable data: Models and scatterplots Difficulty LT4 M 1.10 Question ID 4209aefe ID: 4209aefe The function models the value, in dollars, of a certain bank account by the end of each year from through , where is the number of years after . Which of the following is the best interpretation of “ is approximately equal to ” in this context? A. The value of the bank account is estimated to be approximately dollars greater in than in . B. The value of the bank account is estimated to be approximately dollars in . C. The value, in dollars, of the bank account is estimated to be approximately times greater in than in . D. The value of the bank account is estimated to increase by approximately dollars every years between and . Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT4 M 1.16 Question ID ef926848 ID: ef926848 Square P has a side length of inches. Square Q has a perimeter that is inches greater than the perimeter of square P. The function gives the area of square Q, in square inches. Which of the following defines ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT4 M 1.18 Question ID 17d0e87d ID: 17d0e87d The given equation relates the distinct positive real numbers , , and . Which equation correctly expresses in terms of and ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear equations in one variable and systems of equations in two variables Difficulty msup msup LT4 M 1.19 A. B. C. D. Question ID b74f2feb ID: b74f2feb The expression is equivalent to , where and are positive constants and . What is the value of ? Assessment SAT Test Math Domain Advanced Math Skill Equivalent expressionsDifficulty LT4 M 1.21 Question ID 306264ab ID: 306264ab A right triangle has sides of length , , and units. What is the area of the triangle, in square units? A. B. C. D. Assessment SAT Test Math Domain Geometry and Trigonometry Skill Area and volume Difficulty LT4 M 1.22 Question ID f03465dc ID: f03465dc For each real number , which of the following points lies on the graph of each equation in the xy-plane for the given system? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Systems of two linear equations in two variables Difficulty LT4 M 1.26 Question ID a45ffacb ID: a45ffacb Function is defined by , where and are constants. In the xy-plane, the graph of has a y-intercept at . The product of and is . What is the value of ? Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT4 M 1.27 Question ID 85b33aa8 ID: 85b33aa8 A fish swam a distance of yards. How far did the fish swim, in miles? A. B. C. D. Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Ratios, rates, proportional relationships, and units Difficulty LT4 M 2.2 Question ID fd4b2aa0 ID: fd4b2aa0 Which expression is equivalent to ? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Equivalent expressions Difficulty LT4 M 2.3 Question ID 5ad6bc97 ID: 5ad6bc97 The function gives the total number of people on a company retreat with managers. What is the total number of people on a company retreat with managers? Assessment SAT Test Math Domain Algebra Skill Linear functions Difficulty LT4 M 2.7 Question ID 3ce92ce8 ID: 3ce92ce8 For the given function , the graph of in the xy-plane is parallel to line . What is the slope of line ? Assessment SAT Test Math Domain Algebra Skill Linear functions Difficulty LT4 M 2.14 Question ID 153ee763 ID: 153ee763 In the given equation, is a constant. The equation has no solution. What is the value of ? A. B. C. D. Assessment SAT Test Math Domain Algebra Skill Linear equations in one variable Difficulty LT4 M 2.17 Question ID 4d7064a6 ID: 4d7064a6 The function is defined by the given equation. For what value of does reach its minimum? A. B. C. D. Assessment SAT Test Math Domain Advanced Math Skill Nonlinear functions Difficulty LT4 M 2.18 Question ID 1fe32f7d ID: 1fe32f7d In the given equation, is a positive integer. The equation has no real solution. What is the greatest possible value of ? Assessment SAT Test Math Domain Advanced Math Skill Nonlinear equations in one variable and systems of equations in two variables Difficulty LT4 M 2.21 Question ID 27f5fff3 ID: 27f5fff3 If a new graph of three linear equations is created using the system of equations shown and the equation , how many solutions will the resulting system of three equations have? A. Zero B. Exactly one C. Exactly two D. Infinitely many Assessment SAT Test Math Domain Algebra Skill Systems of two linear equations in two variables Difficulty LT4 M 2.22 Question ID 9acd101f ID: 9acd101f The equation represents circle A. Circle B is obtained by shifting circle A down units in the xy-plane. Which of the following equations represents circle B? A. B. C. D. Assessment SAT Test Math Domain Geometry and Trigonometry Skill Circles Difficulty msup msup msup msup LT4 M 2.25 Question ID 40e7a1a9 ID: 40e7a1a9 is greater than . What is the value of ? Assessment SAT Test Math Domain Problem-Solving and Data Analysis Skill Percentages Difficulty LT4 M 2.27