ID: B

1

Algebra EOC Practice Test #2

(Please be aware that when printing your results some items may overlap and/or be distorted.)

1. What is the equation of a line that passes through (!1,5) and (1,!1)?

A) y = 3x + 2 C) y = ! 13 x ! 2

3

B) y = !3x + 2 D) y = 13 x ! 4

3

2. Which graph represents the solution of the inequality shown below?10 < 4 ! 3k " 19

A) C)

B) D)

3. What is the graph of y = !x 2 + 4x + 1?

A) C)

B) D)

ID: B

2

4. What is the equation, in slope-intercept form, of the function shown in the graph?

A) y = !2x ! 3 C) y = 2x ! 3

B) y = !2x + 3 D) y = 2x + 3

5. For the equation 20a!20( ) 4a+6( ) = 0, what are the solutions?

A) !1, 32

ÏÌÓ

ÔÔÔÔÔÔÔ

¸˝˛

ÔÔÔÔÔÔÔ

C) !1, 23

ÏÌÓ

ÔÔÔÔÔÔÔ

¸˝˛

ÔÔÔÔÔÔÔ

B) 1, ! 32

ÏÌÓ

ÔÔÔÔÔÔÔ

¸˝˛

ÔÔÔÔÔÔÔ

D) 1, ! 23

ÏÌÓ

ÔÔÔÔÔÔÔ

¸˝˛

ÔÔÔÔÔÔÔ

ID: B

3

6. Use the Venn diagram below. How many students play exactly two sports?

7. The cafeteria at John’s work sells two kinds of sandwiches: chicken and steak. The chicken sandwich costs $1.00 and the steak sandwich costs $1.60. Today they made $66.80 from the 56 sandwiches sold. How many of the sandwiches sold were chicken?

A) 16 B) 18 C) 38 D) 47

8. The area of the trapezoid shown is given by A = 12

h(b 1 + b 2 ). Which shows how to find the value of b 1 ?

A) b 1 = 2Ah ! b 2 B) b 1 = 2Ah

! b 2 C) b 1 = 2Ahb 2

D) b 1 = A2h ! b 2

ID: B

4

9. What is the equation of a line that has a slope of –1 and goes through the point (1, –3)?

A) y = !x ! 2 C) y = !x ! 4

B) x ! y = !2 D) 3x + y = 1

10. Sets X, Y, and Z are shown below.

X = {4,6}

Y = {3,6,9}

Z = {1,2,3,4,5}

What is the greatest element in the set X#Z( ) $Y ?

11. Factor 12y2! 48 completely.

A) 4(3y2! 12) C) 12(y ! 2)2

B) 12(y2! 4) D) 12(y + 2)(y ! 2)

12. What is the solution of the equation below?

13 + x6 = 2 + 0.5x

8

13. Divide (8y4! 8y2

+ 2) by 4y3.

A) 2y+ 1

2y3C) 2y ! 2

y+ 1

2y3

B) 2y! 2y + 2y3 D) 2y ! 8y2

+ 2

ID: B

5

14. Which of the following expressions is equivalent to the expression below?

!18x 2 + 12x 2 y 2 + 3xÊ

ËÁÁÁÁ

ˆ

¯˜̃̃˜

A) !3x 6x + 12x 2 y 2 + 3xÊ

ËÁÁÁÁ

ˆ

¯˜̃̃˜ C) 3x 2 !6 ! 4y 2 + 1

Ê

ËÁÁÁÁ

ˆ

¯˜̃̃˜

B) !3x 6x ! 4xy 2 ! 1Ê

ËÁÁÁÁ

ˆ

¯˜̃̃˜ D) 3x 6x + 4xy 2Ê

ËÁÁÁÁ

ˆ

¯˜̃̃˜

15. The ratio of the height to length of the Florida flag shown is 23

. What is the value of x?

A) -1 B) -3 C) 2 D) 4

16. What is the solution of the equation? !3x 2 + 5x ! 2 = 0

A) !2, 2ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ B) {1} C) 2

3 , 1ÏÌÓ

ÔÔÔÔÔÔÔ

¸˝˛

ÔÔÔÔÔÔÔ

D) ! 13 , 2

ÏÌÓ

ÔÔÔÔÔÔÔ

¸˝˛

ÔÔÔÔÔÔÔ

17. What is the slope of the given equation? 3y ! 3 = x

A) 13

B) ! 13

C) 3 D) -3

ID: B

6

18. Mary simplified the expression below.

!6a !5 b !4Ê

ËÁÁÁÁ

ˆ

¯˜̃̃˜ 5a 3 b !4Ê

ËÁÁÁÁ

ˆ

¯˜̃̃˜

Her final answer was written in the form a mb n . If she simplified the expression correctly, what is the value of n, the exponent of b?

19. A bricklayer’s assistant starts building a wall, laying 50 bricks per hour. Three hours later the master bricklayer joins the assistant and he lays 80 bricks per hour. The master bricklayer eventually catches up to the assistant. The equation below can be used to model this situation, where x represents the amount of time, in hours that the assistant has been laying bricks.

50x = 80 x ! 3( )

How many bricks has the assistant layed when the master bricklayer catches up?

20. Which expression is equivalent to the perimeter of the rectangle below?

A) 4x ! 8 C) 8x ! 16

B) 8x ! 8 D) 3x 2 ! 8x

21. The owner of a clothing store buys leather jackets at a wholesale cost, then sells them to the public at a higher retail price. She determines the retail price of one jacket by tripling the wholesale cost and adding 10% of the wholesale cost. Which equation could be used to calculate r, the retail price of a jacket, based on w, the wholesale price of the jacket?

A) r = 3w+ 10w C) r = w+ 10 3w( )

B) r = 3w+ 0.1w D) r = w+ 0.1 3w( )

ID: B

7

22. How many square units greater is the area of figure 1 than the area of figure 2?

23. The set of ordered pairs shown below defines a relation.

(!2, 5), (8, 4), (3, 6), (5, 1)ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

What is the value of the greatest element in the range of this relation?

24. Isabel reads 12 books from the library each month for m months in a row. Each month her sister, Emma,

reads 12

as many books as Isabel reads. Together they have read 108 books. The following equation

represents this situation where m is the number of months that the girls have read.

12m + 12

(12m) = 108

Which of the following is the number of months it took Isabel and Emma to read 108 books?

A) 2 months B) 3 months C) 6 months D) 12 months

25. Simplify the following expression: 5 72x ! 2 50x . Assume x is a positive number.

A) 4 2x B) 3 22x C) 5 67x D) 20 2x

ID: B

8

26. Linda saw the following graph in a fitness magazine.

Which statement best expresses the meaning of the slope?

A) total calories burned C) calories burned per mile walked

B) total distance walked D) miles walked per hour

27. The workers in a factory earn $25 an hour. Every week, 20% of each worker’s total pay is deducted for taxes. If each worker wants a take-home salary of at least $620 a week, solve the inequality 25h ! 0.2 25h( ) % 620 to determine how many hours, h each worker must work.

A) h < 31 B) h > 31 C) h % 31 D) h " 31

ID: B

9

28. What is the graph of the equation? y = !2

A) C)

B) D)

29. Which expression is equivalent to !0.1w2 x 2 yÊ

ËÁÁÁÁ

ˆ

¯˜̃̃˜ !0.5w5Ê

ËÁÁÁÁ

ˆ

¯˜̃̃˜?

A) 0.05x 7 w7 y 5 B) !0.6w10 x 2 y C) !0.6w3 ! x 2 y D) 0.05w7 x 2 y

30. A concert charges $30 admission and $15 per shirt. Alyssa paid $75 at the concert for her admission and shirts. Write an equation to find the number of shirts that she bought.

A) 30x + 15 = 75 C) 30x -75 = 15

B) 15x - 30 = 75 D) 15x + 30 = 75

31. In 1953, the sabal palm became the state tree of Florida. The approximate growth of a sabal palm is given by the function f(x) = 5.5x + 262, where x is the number of years after 2006 and f(x) is the height in centimeters. What will be the height in centimeters of the tree in 2011?

ID: B

10

32. A lightweight bag is dropped from the top of an office building. The height h of the bag, in feet, after being dropped is given by h = !16t2 + 144, where t is the time in seconds. About how long does it take in seconds for the bag to hit the ground?

33. If x2+ 8x + 12 & 0 which of the following shows the expression below in simplest form?

x2! 3x ! 10

x2+ 8x + 12

.

A) !56

B) !3x ! 108x + 12

C) x ! 5x + 6

D)(x ! 5)(x ! 2)(x + 2)(x + 6)

34. Which of the following shows the graph of x + 3y = !18

A) C)

B) D)

ID: B

11

35. Use integer coefficients. What is the standard form of the equation below?

y = 0.2x ! 2.7

A) 2x ! 10y = 27 C) 2x + y = 27

B) 2x + 10y = 2.7 D) x + 10y = 27

36. Let C = {10,13} and D = {10,12,13,14} be two sets in the universal set U = {9,10,11,12,13,14,15}. Find ' C#D( ) in universe U.

A) {10,12,13,14} C) {9,11,15}

B) {10,12,13,14} D) {9,10,11,13,15}

37. Juan selected three index cards with different radical expressions.

What is the sum of these three terms in simplified form?

A) !13 5 C) 20 20 ! 3 5

B) 5 D) 50 20 ! 9 5

38. What is the slope of the line graphed below?

ID: B

12

39. What is the y-intercept of the equation 4y = 2x + 8?

A) –4 B) –2 C) 2 D) 8

40. The expression 25x3y6Ê

ËÁÁÁÁÁ

ˆ

¯˜̃̃˜̃

2is equivalent to which of the following?

A) 625x5y8 B) 625x6y1 2 C) 50x5y8 D) 50x6y1 2

41. What is the domain of the function, represented by the graph?

A) domain:!4 " y " 5 C) domain: 0 " x " 3

B) domain: !1 " x " 3 D) domain: !3 " y " 5

42. Jacob wants to join a fitness club. The club advertises a special where new members get 15 off the regular price.

The discounted price is $175. What was the price of the membership before the discount?

A) $875.00 B) $218.75 C) $210.00 D) $140.00

ID: B

13

43. The Tent Market sells two-person tents for $299 and three-person tents for $399. Last month, 8 more two-person tents than three-person tents were sold for a total of $10,768. The set of equations below represents the situation where x is the amount of two person tents sold and y is the amount of three person tents sold.

x = y + 8

299x + 399y = 10,768

What is the number of two person tents that was sold?

44. Nancy knits scarves for a crafts fair. The scarves are identical except in length. She records the time it takes her to knit each scarf in the table below.

Which linear equation can be used to approximate t, the time in hours it will take Nancy to knit a scarf n feet long?

A) t = 0.9n C) t = 2n + 2.7

B) t = 2.7n D) t = 0.9n + 2.7

45. What is the simplified form of the quotient? 25650

A) 45 B) 2 10

5 C) 8 25 D) 32

5

ID: B

14

46. Joe works as a salesperson for a local marketing company. Using the equations shown below, the company calculates his monthly earnings based upon his total sales for the month.

MONTHLY EARNINGS EQUATIONSTotal Sales for the Month

(s in dollars)Earnings Equation

s "$5,000 E =1,600+0.1ss >$5,000 E =1,600+0.1s+0.15(s!5,000)

where: E represents total monthly earnings before taxes and withholding s represents the dollar amount of her total sales

Joe’s total sales were less than $5,000 in October. If his total monthly earnings for October were $2,090, what was the value of his total monthly sales, s ?

47. Simplify the quotient 727

.

A) 1899

B) 73

C) 219

D) 213

48. What is the solution of the equation? Round to the nearest hundreth if necessary.

2x 2 + 10x + 11 = 0

A) 1, !4ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ C) !1, 4

ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

B) !3.37, !1.63ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ D) 1.63, 3.37

ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

ID: B

15

49. Which equation is represented by the graph?

y = 12

x 2 ! 3x + 3

A) C)

B) D)

50. What is the slope of a line that is perpendicular to the line 4x ! y = 8?

51. Let set D represent Mrs. Smiths’ daughters..

D = Mary,Janice,Ann,ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

Let set S represent Mrs. Smiths’ sons.

S = Daniel,Mat,John,Max,LeoÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

What is the total number of elements in the set D ( S

A) 15 B) 8 C) 5 D) 2

ID: B

16

52. Multiply 3x ( 6x ! 15 ) and write the product in simplest form. Assume x is a positive number.

A) 3 2x ! 3 5 C) 3x 7

B) 3x 2 ! 3 5x D) 18x2! 45

53. What is the x-coordinate of the point at which this line intersects the x-axis?

54. If a & 0 and b & 0, which of the following is a simplified version of the expression below?

15a 3 b 2 + 5a 2 b 3 + 20a 4 b

5a 2 b

A) 3a 2 b + ab 2 + 4a 2 C) 5ab + ab 2 + 4a 2 b

B) 3ab + b 2 + 4a 2 D) 5ab + b 2 + 4a 2

ID: A

1

Algebra EOC Practice Test #2Answer Section

1. ANS: B STA: MA.912.A.3.10 2. ANS: C STA: MA.9.12.A.3.4 3. ANS: C STA: MA.912.A.7.1 4. ANS: A STA: MA.912.A.3.10 5. ANS: B STA: MA.912.A.7.2/MA.912.A.1.86. ANS: 12

STA: MA.912.D.7.2 7. ANS: C STA: MA.912.A.3.15 8. ANS: B STA: MA.912.A.3.3 9. ANS: A STA: MA.912.A.3.10

10. ANS: 6

STA: MA.912.D.7.1 11. ANS: D STA: MA.912.A.4.3 12. ANS: -18.4 or -92/5

STA: MA.912.A.5.4 13. ANS: C STA: MA.912.A.4.4 14. ANS: B STA: MA.912.A.4.3 15. ANS: D STA: MA.912.A.5.4 16. ANS: C STA: MA.912.A.7.2 17. ANS: A STA: MA.912.A.3.9 18. ANS: -8

STA: MA.912.A.4.1 19. ANS: 400

STA: MA.912.A.3.1 20. ANS: C STA: MA.912.A.4.2 21. ANS: B STA: MA.912.A.3.5 22. ANS: 1

STA: MA.912.A.4.2 23. ANS: 6

STA: MA.912.A.2.4 24. ANS: C STA: MA.912.A.3.1 25. ANS: D STA: MA.912.A.6.2 26. ANS: C STA: MA.912.A.3.11 27. ANS: C STA: MA.912.A.3.4 28. ANS: C STA: MA.912.A.3.8 29. ANS: D STA: MA.912.A.4.1

ID: A

2

30. ANS: D STA: MA.912.A.3.5 31. ANS: 289.5 or 579/2

STA: MA.912.A.2.3 32. ANS: 3

STA: MA.912.A.7.2/MA.912.A.7.833. ANS: C STA: MA.912.A.4.3/MA.912.A.5.134. ANS: A STA: MA.912.A.3.8 35. ANS: A STA: MA.912.A.3.7 36. ANS: C STA: MA.912.D.7.1 37. ANS: B STA: MA.912.A.6.2 38. ANS: -2

STA: MA.912.A.3.9 39. ANS: C STA: MA.912.A.3.9 40. ANS: B STA: MA.912.A.4.1 41. ANS: B STA: MA.912.A.2.4 42. ANS: B STA: MA.912.A.3.5 43. ANS: 20

STA: MA.912.A.3.14 44. ANS: A STA: MA.912.A.2.3 45. ANS: C STA: MA.912.A.6.2 46. ANS: 4,900

STA: MA.912.A.3.5 47. ANS: C STA: MA.912.A.6.2 48. ANS: B STA: MA.912.A.7.2 49. ANS: B STA: MA.912.A.7.1 50. ANS: -1/4 or -0.25

STA: MA.912.A.3.10 51. ANS: A STA: MA.912.D.7.1 52. ANS: B STA: MA.912.A.6.2 53. ANS: 16

STA: MA.912.A.3.11 54. ANS: B STA: MA.912.A.4.4