MATH TEST (NO CALCULATOR)

25 MINUTES, 20 QUESTIONS

1. The graph of a line in the xy plane is totally vertical and has a negative x-intercept. Which of the following could represent a line with these conditions?

(A) x = − 5

(B) y = − 4

(C) y = − x − 2

(D) x = − 4y

2. 

(A) 

(B) 4

(C)

(D) 9

3. Which of the following is equivalent to 

(A) 0

(B) 1

(C) 2

(D) 6

4. 

(A) 3

(B) 4

(C) 8

(D) 12

5. 

2x - 3y = 7

6x - ky = 21

For what value of the constant k will the above system of equations have infinitely many solutions?

(A) − 9

(B) − 7

(C) 2

(D) 13

6. What is the y-intercept of the graph of the function 

(A) − 3

(B) − 2

(C) 0

(D) 1

7. The relationship between x and y can be modeled using this equation, in which k is a constant:

If x = 4 when y = 2, what is the value of y when x is 8?

(A) 1

(B) 8

(C) 14

(D) 24

8. If x + 3 = y and xy = 40, what is the sum of x and y, given that both x and y are positive?

(A) 5

(B) 8

(C) 13

(D) 15

9. What is y in terms of x in the following inequality?

 12 < -4x + 6y

 (A) 3 + 2x > y

 (B) 6x − 2 < y

10. The graph of the above line is portrayed by which of the following equations?

11. 

  
 

12. 

13. A function g(x) has values given in the table below:

Which of the following would be a factor of g(x)?

(A) (x − 1)(x + 2)

(B) (x − 2)(x + 3)

(C) (x + 1)(x − 2)

(D) (x + 2)(x − 2)

14.                                 

The escape velocity for a given spherical body, like a planet or a star, is given by the above formula, in which G is the gravitational constant, r is the distance from the center of the body’s mass to the object, and m is the mass of the spherical body. What is M in terms of the other variables?

15.      Which equation would portray the function graphed above?

(A)  y = (x − 2)(x + 4)(x − 1)

(B)  y = (x − 4)(x + 2)(x − 1)

(C)  y = (x − 4)(x − 2)

(D)  y = (x + 1)(x + 2)

16. 

17. A restaurant charges $5 for a cheeseburger and $4 for a hamburger. If Connor wants to buy at least 2 of each sandwich and wants to spend a total of between $20 and $30 (inclusive) on sandwiches, what is a possible value for the number of cheeseburgers Connor purchased?

18. 

19. What is the measure in degrees of ∠X, given that AB and DB are straight lines and C is the center of the circle?

20. A sphere has a volume of 8 cubic feet. What is the volume in cubic feet of a sphere with twice the radius of the original one?