Algebra 1 Placement Test - Walnut Hill School

[Pages:6]Walnut Hill School for the Arts Math Algebra 1 Placement Test

1. Which of the following is an irrational number?

A. -5

B. 2 3

C. 4

2. Which group of numbers is ordered from least to greatest?

D. 5

A. 4 , - 0.9, - 3 B. -3, - 0.9, 4

5

5

3. Evaluate (6 - 4) ? 2 + 8 ? (4 - 2) + 1

C. -0.9, 4 , - 3 5

D. 4 , - 3, - 0.9 5

A. 1 1

B. 8

2

C. 6

D. 3

4. Which ordered pair is not a solution of y = 2x + 1?

A. (3, 7)

B. (0, 1)

C. (-1, 1)

5. If x = -3 and y = -5, then what does 3x - 2y equal?

D. (-3, -5)

A. -19

B. -1

C. 1

6. What is the solution of -6x + 15 = -3 ?

D. 19

A. -3

B. -2

C. 3

D. 6

7. What is the solution of 3 = x ? 5 15

A. 1

B. 6

C. 9

8. What is the solution to the inequality 48 < -6h ?

A. h < -8

B. h > -8

C. h -8

9. What is the solution to the inequality 2(y + 5) + 7y 19 ?

A. y < 1

B. y 1

C. y > 1

10. What are the solutions of 3d - 4 < -10 or 2d + 7 9 ?

A. d > -2

B. d 1

C. -2 < d 1

D. 25 D. h -8 D. y 1 D. d < -2 or d 1

11. What is the solution to the equation 2x + 1 - 3 = 6 ?

A. x = -1,2

B. x = -2,2

C. x = -2, 4

D. x = -5, 4

12. What is the slope of the line through the points (3, -2) and (5, 8)?

A. 1

B. 5

5

C. - 1 5

D. -5

13. Which ordered pairs represent a linear function?

A. (-2,-15),(-1,-9),(0,-3),(1, 3),(2,9) B. (-2, 4),(-1,1),(0,0),(1,1),(2, 4)

C. (-2,-1),(-1,-4),(0,-5),(1,-4),(2,-1) D. (-2,-8),(-1,-1),(0,0),(1,1),(2,8)

14. Jill earns $45 per hour. Using p for her pay and h for the hours she works, what function rule represents the situation?

A. h = 45 p

B. p = 45h

C. h = p + 45

D. p = h + 45

15. What is the slope of the line with the equation y = - 1 x - 3 ? 3

A. -3

B. -1

C. - 1 3

D. 1 3

16. What is the equation of the line that has slope -4 and passes through the point (-2, -5)?

A. y = .5x - 4

B. y = -4x - 13

C. y = -.5x - 4

D. y = -4x + 3

17. What is an equation of a line passing through the points (-4, 3) and (-1, 6)?

A. y = -x - 7

B. y = -x - 1

C. y = 7x + 1

D. y = x + 7

18. What are the x- and y- intercepts of the graph of -7x + 4y = -14 ?

A. x-intercept : -7, y-intercept: 4

B. x-intercept : 7, y-intercept: -4

C. x-intercept : -2, y-intercept: 3.5

D. x-intercept : 2, y-intercept: -3.5

19. Which equation has a graph that is parallel to the graph of 9x + 3y = -22 ?

A. y = 3x - 22 B. y = -3x + 8

C. y = 1 x + 12 3

D. y = - 1 x - 2 3

20.

What is

8x + 3y2 4y - 3x

when x = 2 and y = 3?

A. -22

B. -8

C. 7.5

2x + y = 3 21. How many solutions does the system have? 6x = 9 - 3y

D. 43 6

A. one

B. none

C. infinite

D. two

5x + 7y = 3 22. What is the solution to the following system of equations? 2x + 3y = 1

A. (-2, 1)

B. (1, -2)

23. Which is a solution of -8x + 5 11 ?

C. (2, -1)

D. (-1, 2)

A -1

B. 3

2

C. .25

24. The graphs of the two lines 4x = 3y + 23 and 4y + 3x = -19

D. -1

A. do not intersect B. are identical C. intersect at (-2, 5) D. are perpendicular 25. Which of the following points are not solutions of 2y - 5x > 6 ?

I. (-3, 4)

II. (5, - 5 ) 3

III. ( 3 , 5) 4

IV. (2.6, 5)

A. I and II

B. III only

C. II and IV

D. III and IV

26. What is the simplified form of 3!!!! ?

!"!!!! A. !!

!"!! B. !!!!

!!! C.!!!!

27. Which of the following simplifies to a negative number?

!!!!! D. !!

A. -4!!

B. (-4)!!

C. 4!!

!

D. !!!

28. What is the simplified form of ? (14!)!!! ?

A.

-

!"! !!

!"!

B. !!

!

C. !!

D.

-

! !!

29. Which of the following is written in scientific notation?

A. 73.4 10!

B. 0.09 10!

C. 80 10!

D. 4.22 10!!

30. What is the simplified form of -3 !! 5!! ?

A.

-

!"! !!

!

B. -15!!

C. -15!

D. 15x4y

31.

Which

of

the

following

is

equivalent

to

!!!! !!!

?

(assume x 0 and y 0)

A. !!

B. !

C. !

D. !

32. A fraction reduces to 36. If its numerator is 6 !, what is its denominator?

A. 6!

B. 6!!

C. 6!

D. 6!!

33. What is the simplified form of 8!! + 4!! ?

A. 12bc

B. 12!!

C. 12!!

D. 12 !!

34. What is the difference between the following polynomials?

6! - 2! + 4 - (2!+ 4! - 5)

A. 4! - 2! - 1 B. 8! + 6! - 1

C. 4! - 2! + 1 D. 4! - 6! + 9

35. What is the simplified form of 3! - 4 + 6 + 5! + 2! - 3 in standard form?

A. 5! + 10! - B. 8! - 2! + 3 C. 5! + 10! - 5 D. 5! + 5! -

36. How can this product, 5! 2 - 3 , be simplified?

A. 5! + 2 - 3 B. 10! - 15!

C. -5!

D. 7! - 15!

37. What is the GCF of the terms of 8! + 12! + 10 ?

A. 2

B. 4

C. 2c

D. 4c

38. How can the polynomial 6! + 9! - 12! be factored?

A. 3! 2! + 3 - 4

B. 3! 3! + 6 - 9

C. 3 ! + 3! - 4

D. 6! ! + 3! - 6

39. What is the simplified form of -3! + 2 - 4 ! + 1 ?

A. -7! + 1

B. -3! - 4! - 6 - 4

C. -3! - 2! - 4

D. -3! - 10! - 4

40. Use the Distributive Property to determine the simplified form of - 2 2 + 3 .

A. 2! - - 6

B. 2! - 6

C. 2! - 7 - 6 D. 2! + - 6

41. What is the simplified form of 2! + 4 - 3 3 + 1 ?

A. 6! + 10! - 5 + 3 B. 6! + 14! + 5 - 3

C. 6! + 14! - 5 - 3

D. 6! - 10! - 5 - 3

42. What is the factored form of ! - 7 + 12 ?

A. - 5 - 3

B. - 6 - 1 C. - 2 - 5 D. - 4 - 3

43. What is the factored form of ! + 3 - 10 ?

A. + 5 - 2

B. - 2 - 5

C. - 5 + 2

D. + 5 + 2

44. What is the factored form of 4! + 12 + 5?

A. 2 + 4 2 + 3

B. 4 + 5 + 1

C. 2 + 1 2 + 5

D. 4 + 1 + 5 45. What is the factored form of 3! + 21 - 24?

A. 3 + 8 - 1

B. 3 + 6 + 1

C. 3 + 5 - 3

D. 3 + 7 - 3

46. What is the factored form of ! - 196?

A. - 14 !

B. + 14 !

C. - 28 4 + 7

D. + 14 - 14

47. Use the Pythagorean Theorem to determine the length of the diagonal of a rectangular garden with dimensions 12 ft by 16 ft.

A. 6 ft

B. 14 ft

C. 18 ft

48. What is the solution of ! - 49 = 0 ?

D. 20 ft

A. -7

B. 7

C. ?7

D.

49. What is the simplified form of 140

A. 4 35

B. 10 14

C. 2 70

D. 2 35

50. What is the simplified form of 3 5 15! ?

A. 15! 3

B. 6! 5

C. 5! 3

D. 12! 5

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