SAT Pastpaper with Solutions

The function f(x)= |x-5| + 3 is defined for all real numbers x.Which of the following statements is true about the graph of f(x)?
1 The vertex of the graph is at the point(5,3).
2 The graph is a straight line with a slope of 1.
3 The graph is symmetric about the y-axis.
4 The graph has a minimum value of 3 at x = 5

Sarah is shopping for a new laptop. She finds a laptop that originally costs $1200.The store is offering a 15% discount on the laptop.Additionally, Sarah has a coupon that gives her an extra10% off the discounted price.Which of the following statements is true ？

The function g is defined by g(x)= f(x +7).what is the minimum value of g(x)?
f(x) = 3x²+48x +193

One gallon of paint will cover 310 square feet of a surface. A room has a total wall area of w square feet. Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?

The graph of the system of equations y = 2x + 3 and y = -x+6 is shown below. What is the solution to the system of equations?

The daily precipitation total at a weather station is recorded by a weather instrument each day. The daily precipitation total recorded on Monday was 19.00 millimeters. The daily precipitation total recorded on Tuesday was a 134.00% increase from the daily precipitation total recorded on Monday. What was the daily precipitation total, in millimeters, recorded on Tuesday?

A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 64 inches,what is the area of the rectangle, in square inches?

One of the factors of 3x³+48x²+189x is x+a ,where a is a positive constant,what is the smallest possible value of a ?

The function f is defined by the given equation, where a and b are integer constants. If f(17) > 0 , f(20) <0 , and f(23) > 0 , what is one possible value of a+b ?
f(x)=(x-a)(x - b)

The function f is defined by f(x)=53(0.15)^x. For any positiveinteger f(n) , the value of f(n) is p% less than the value of f(n -1). what is the value of p ?

The dot plots represent the distributions of values in data sets A and B.
which of the following statements must be true?
l. The median of data set A is equal to the median of data set
II. The standard deviation of data set A is equal to the standard deviation of data set

For a school competition, each student in the sixth, seventh, and eighth grades is assigned to either the red team or the green team. The table shows the distribution of grade and team for the students in the school.A student from the competition will be selected at random.what is the probability of selecting a student who is in the sixth or seventh grade, given that the student is on the green team?(Express your answer as a decimal or fraction, not as a percent.)

Aright triangle has sidles of length3, 5 and units. what is the area of the triangle, in square units?

The function gives the estimated air temperature T(x), in degrees Celsius (℃), surrounding a hot air balloon at an altitude of a meters. If the estimated air temperature surrounding the hot air balloon is 15℃, which of the following is closest to the altitude, in meters, of the hot air balloon?

The population of a small town is modeled by the function P(t)= 2500× (1.03)^t, where t is the number of years since the year 2020, and P(t) is the population in year 2020 + t. ((1.03)⁵≈1.1593)

The measure of an angle is (51)() π radians, where k is a constant. What is the measure of this angle, in degrees?

Elizabeth has $4500 in an account. Each year she expects to have11% more money in the account than she had the previous year. Which of the following models best describes how Elizabeth expects the money in her account to change over time?

A car rental company charges a flat fee of $30 plus $0.25 per mile driven.The total cost C' indollars for renting the car and driving m miles can be represented by the equation: C= 0.25m + 30

The function f is defined by f(x) = 3x- .What is the y-intercept of the graph of y= f(x) in the xy-plane?