This document provides alternate text for SAT Practice Test 5 and should be used with the PDF found here: https://collegereadiness.collegeboard.org/pdf/sat-practice-test-5.pdf

The figure presents the graph of a line, labeled l, in the xy-plane with the origin labeled O. The number 1 is indicated on both axes. The graph begins in the third quadrant. It moves upward and to the right, crossing the x-axis at the point with coordinates negative 1 comma 0, and the y-axis at the point with coordinates 0 comma 1. The line ends in the first quadrant.

1. Which of the following is an equation of line l in the xy x y-plane above?

(A) x equals 1(B) y equals 1(C) y equals x(D) y equals x plus 1

The figure presents a circle with center O. Points A, and C are indicated on the circle, creating minor arc A C. A diameter is drawn from point A to a point on the other side of the circle. Similarly, a diameter is drawn from point C to a point on the other side of the circle. The two lines intersect at the origin, forming a right angle at angle A O C.

2. The circle above with center O has a circumference of 36. What is the length of minor arc A C ?

(A) 9(B) 12(C) 18(D) 36

3. What are the solutions of the quadratic equation  ? 4 x squared, minus 8 x, minus 12, equals 0

(A) x equals negative 1 and x equals negative 3(B) x equals negative 1 and x equals 3(C) x equals 1 and x equals negative 3(D) x equals 1 and x equals 3

4. Which of the following is an example of a function whose graph in the xy x y-plane has no x-intercepts?

(A) A linear function whose rate of change is not zero(B) A quadratic function with real zeros(C) A quadratic function with no real zeros(D) A cubic polynomial with at least one real zero

the square root of k plus 2, end root, minus x, equals 05. In the equation above, k is a constant. If x equals 9, what is the value of k ?

(A) 1(B) 7(C) 16(D) 79

6. Which of the following is equivalent to the sum of the expressions a squared minus 1 and a plus 1 ?

(A) a squared plus a(B) a cubed minus 1(C) 2, a squared (D) a cubed

7. Jackie has two summer jobs. She works as a tutor, which pays $12 12 dollars per hour, and she works as a lifeguard, which pays $9.50 9 dollars and fifty cents per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 220 dollars per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?

(A) 12 x plus 9 point 5 y is less than or equal to 220, and,x plus y is greater than or equal to 20

(B) 12 x plus 9 point 5 y is less than or equal to 220, and,x plus y is less than or equal to 20

(C) 12 x plus 9 point 5 y is greater than or equal to 220, and,x plus y is less than or equal to 20

(D) 12 x plus 9 point 5 y is greater than or equal to 220, and,x plus y is greater than or equal to 20

8. In air, the speed of sound S, in meters per second, is a linear function of the air temperature T, in degrees Celsius, and is given by S of T, equals, 0 point 6 T plus 331 point 4. Which of the following statements is the best interpretation of the number 331.4 in this context?

(A) The speed of sound, in meters per second, at 0 degrees Celsius (B) The speed of sound, in meters per second, at  0 point 6 degree Celsius(C) The increase in the speed of sound, in meters per second, that corresponds to an increase of  1 degree Celsius (D) The increase in the speed of sound, in meters per second, that corresponds to an increase of  0 point 6 degree Celsius

y equals x squared, and,2 y plus 6, equals, 2 times, open parenthesis, x plus 3, close parenthesis

9. If x comma y is a solution of the system of equations above and x is greater than 0, what is the value of x y ?

(A) 1(B) 2(C) 3(D) 9

10. If a squared plus b squared equals z and a times b equals y, which of the following is equivalent to 4 z plus 8 y ?

(A) open parenthesis, a plus 2 b, close parenthesis, squared(B) open parenthesis, 2 a plus 2 b, close parenthesis, squared(C) open parenthesis, 4 a plus 4 b, close parenthesis, squared(D) open parenthesis, 4 a plus 8 b, close parenthesis, squared

11. The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?

(A) 11(B) 22(C) 44(D) 66

12. Which of the following is equivalent to 9, raised to the power, three fourths ?

(A) the cube root of 9(B) the fourth root of 9(C) the square root of 3(D) 3 times, the square root of 3

13. At a restaurant, n cups of tea are made by adding t tea bags to hot water. If t equals n plus 2, how many additional tea bags are needed to make each

additional cup of tea?

(A) None(B) One(C) Two(D) Three

f of x, equals, 2 raised to the power x, end power, plus 114. The function f is defined by the equation above. Which of the following is the graph of y equals negative f of x in the xy x y-plane?

(A)The figure presents the graph of a curve in the x y-plane. The number 1 is indicated on both axes. The curve begins in quadrant 2. It moves downward and to the right, crossing the y-axis at the point with coordinates 0 comma 2. As the graph moves to the right, it approaches a y-value of 1. The curve ends in quadrant 1.

(B)The figure presents the graph of a curve in the x y-plane. The number 1 is indicated on both axes. The curve begins in quadrant 3, just above the y-value of negative 2. It moves upward and to the right, crossing the y-axis at the point with coordinates 0 comma negative 1. It then passes through quadrant 4, crossing the x-axis at the point with coordinates 0 comma 1. The curve ends in quadrant 1.

(C)The figure presents the graph of a curve in the x y-plane. The number 1 is indicated on both axes. The curve begins in quadrant 3, just below the y-value of negative 1. It moves downward and to the right, crossing the y-axis at the point with coordinates negative 2 comma 0. The curve ends in quadrant 4.

(D)The figure presents the graph of a curve in the x y-plane. The number 1 is indicated on both axes. The curve begins in quadrant 2, just below the y-value of 1. It moves downward and to the right, crossing the x-axis at the point with coordinates negative 1 comma 0. It then passes through quadrant 3, crossing the y-axis at the point with coordinates 0 comma negative 1. The curve ends in quadrant 4.

15. Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $5 5 dollars. Assuming gasoline costs $4 4 dollars per gallon, which equation can Alan use to determine how many fewer average miles, m, he should drive each week?

(A) the fraction 25 over 4, end fraction, times m, equals, 95

(B) the fraction 25 over 4, end fraction, times m, equals, 5

(C) the fraction 4 over 25, end fraction, times m, equals, 95

(D) the fraction 4 over 25, end fraction, times m, equals, 5

16. Maria plans to rent a boat. The boat rental costs $60 60 dollars per hour, and she will also have to pay for a water safety course that costs $10 10 dollars. Maria wants to spend no more than $280 280 dollars for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?

2 times, open parenthesis, p plus 1, close parenthesis, plus, 8 times, open parenthesis, p minus 1, close parenthesis, equals, 5 p

17. What value of p is the solution of the equation above?

one half times, open parenthesis, 2 x plus y, close parenthesis, equals the fraction 21 over 2, and,

y equals 2 x

18. The system of equations above has solution x comma y. What is the value of x ?

the fraction with numerator 2 x plus 6, and denominator, open parenthesis, x plus 2, close parenthesis, squared, end fraction, minus, the fraction

with numerator 2, and denominator x plus 2, end fraction

19. The expression above is equivalent to the fraction with numerator a, and denominator, open parenthesis, x plus 2, close parenthesis, squared, where a is a positive constant and x is not equal to negative 2. What is the value of a ?

Intersecting lines r, s, and t are shown below.

The figure presents three intersecting lines, labeled r, s, and t. Line s begins near the top of the figure and extends downward and slightly to the left. Line t begins to the left of line s, and extends downward and to the right, intersecting line s. Line r begins below line t and to the left of line s. Line r extends upward and to the right,

first intersecting line s and then line t. The following angle measures are indicated: the angle formed to the right of line s and above line t measures 106 degrees, and the angle formed to the left of line s and above line r measures x degrees. The angle formed below line t and above line r measures 23 degrees.

20. What is the value of x ?