allen park high school - aphs counseling department · 2018-09-06 · algebra 1 semester review...

Algebra 1 Semester Review Winter 2013

APHS/MATH

ALLEN PARK HIGH SCHOOL F i r s t S e m e s t e r R e v i e w

Algebra 1

Winter 2013 Mr. Whitlow


APHS/MATH 1 GO ON TO THE NEXT PAGE

Select the best answer for all 82 questions. Mark your answer on the scantron provided. Make you mark

dark and stay within the designated area. If you erase an answer, you must erase your mark completely.

1. Write an equation of the line with a slope of 2

3 and y-intercept of – 5.

A. 2

– 53

y x B. 3

– 52

y x C. 2

53

y x D. 2

– 53

y x

2. Write an equation of the line with a slope of 0.6 and y-intercept of 15.

A. 0.6 15y x B. 0.6 15y x C. 0.6 15y x D. 0.6 15y x

3. Write an equation of the line that passes through the point 2, 7 and slope 4m .

A. 4 1y x B. 4 15y x C. 4 1y x D. 4 15y x

4. Write an equation of the line that passes through the points 3, 7 and 1, 5 .

A. 3 4y x B. 3 8y x C. 3 2y x D. 3 4y x

For questions 5 through 7, determine whether the graph shows a positive correlation, a negative correlation

or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.

5. Women in the Army:

A. positive; as time goes on, more women are in the army.

B. no correlation

C. negative; as time goes on, fewer women are in the army.

D. negative; as time goes on, more women are in the army.

6. Video Rental Fines

A. negative; as the number of videos rented increases,

the amount of fine increases.

B. negative; as the number of videos rented increases,

the amount of fine decreases.

C. no correlation

D. positive; as the number of videos rented increases,

the amount of fine decreases.



7. Strawberries Picked

A. positive; as time passes, the number of quarts picked decreases.

B. negative; as time passes, the number of quarts picked decreases.

C. no correlation

D. negative; as time passes, the number of quarts picked increases.

8. Beach Jet Ski Rentals charges $25.00 plus $0.50 miles to rent a jet ski. Write an equation for the total cost C

of renting a jet ski for m miles.

A. 25 0.5C m B. 0.5 25C m C. 25 0.5m C D. 25 5C m

9. A cell phone repair shop charges $40 plus $35 per hour. The situation can be represented by the equation

40 35C h . What is the cost of repairing a cell phone that takes four hours to repair?

A. $75 B. $140 C. $180 D. $215

10. Solve the inequality 2 3k and identify the correct graph of the solution on the number line.

A. 1 k

B. 5k

C. 1k

D. 5k

11. Solve the inequality 2 6w and identify the correct graph of the solution on the number line.

A. 4 w

B. 8 w

C. 8 w

D. 4 w

For questions 12 through 16, solve each inequality.

12. 93

b

A. 27b B. 27b C. 3b D. 3b

13. 5 65m

A. 13m B. 13m C. 60m D. 325m

0 3 6 9 12 150–3

0 3 6 9 12 150–3

0 3 6 9 12 150–3

0 3 6 9 12 150–3

0 3 6 90–3–6–9

0 3 6 90–3–6–9

0 3 6 90–3–6–9

0 3 6 90–3–6–9



14. 3 12 27h

A. 5h B. 5h C. 13h D. 13h

15. 5 6 7 12a a

A. 9a B. 9a C. 9a D. 9a

16. 2 9 8 4n n

A. 2 n B. 2 n C. 6

5n D.

6

5n

For questions 17 and 18, solve the compound in equality and identify the correct graph on the number line.

17. 7 7 and 3 12u u

A. 7 6 u

B. 0 9 u

C. 7 6u

D. 0 9 u

18. 6 1 or 2 7g g

A. 5g

B. 5 6 g

C. 5g

D. 6g

19. Solve 3 11d

A. 14d B. 8d C. 8 14d D. 14 or 8d d

20. Solve 3 8 12c

A. 4

3c B.

20

3c C.

20 4

3 3c D.

20 4 or

3 3c c

21. A salt water aquarium needs to remain within 4 degrees of 71 F . Write the range of suitable temperatures

for an aquarium.

A. 67 75t t B. 68 76t t C. 69 73t t D. 71 75t t

For questions 22 through 28, simplify each expression.

22. 4 3 6a b ab

A. 5 18a b B. 4 18a b C. 5 9a b D. 4 9a b

0 2 4 6 8 100–2–4–6–8–10

0 2 4 6 8 100–2–4–6–8–10

0 2 4 6 8 100–2–4–6–8–10

0 2 4 6 8 100–2–4–6–8–10

0 2 4 6 8 100–2–4–6–8–10

0 2 4 6 8 100–2–4–6–8–10

0 2 4 6 8 100–2–4–6–8–10

0 2 4 6 8 100–2–4–6–8–10



23. 5 2 5 2 64 3h i j h ij

A. 7 2 1112h i j B. 7 3 1112h i j C. 10 2 3012h i j D. 7 3 1112h i j

24. 3

5 32g h

A. 8 68g h B. 15 96g h C. 15 98g h D. 8 66g h

25. 12

7

x

x

A. 5x B. 5x C. 19x D. 5

1

x

26.

23 2

7

3

15

a b

b

A. 5 4

7

6

15

a b

b B.

6

3

2

5

a

b C.

6

3

3

5

a

b D.

5

3

9

15

a

b

27.

22

5

3a

a

A. 10

6

a

B.

6

9

a C.

4

6

a

D. 14

6

a

28. 9 6

2 3 5

16

24

m n

m n p

A. 7 5

9

2

3

m p

n B.

11

3 5

2

3

m

n p C.

7 5

3

2

3

m p

n D.

11 9 52

3

m n p

29. Express the number 0.005107 in scientific notation.

A. 351.07 10 B. 35.107 10 C. 35.107 10 D. 351.07 10

30. Express the number 8,650,000 in scientific notation.

A. 58.65 10 B. 58.65 10 C. 68.65 10 D. 68.65 10

31. Express the number in the statement in standard notation.

In 2010, Netflix served 63.29 10 new deliveries in the U.S.

A. 3,290,000 B. 32,900,000 C. 329,000,000 D. 329,000


The distance from Earth to the Sun is approximately 79.3 10 miles.

A. 9,300,000 B. 0.000000093 C. 930,000,000,000 D. 93,000,000


A Octometer is 81 10 m.

A. 100,000,000 B. 0.00000001 C. 0.0000000001 D. 0.00001



For questions 34 through 37 use the graphs to determine the number of solutions each system has.

34. 4

2

x

y x

A. no solution B. one

C. two D. infinitely many

35. 4

2 2 6

x

x y



36. 2 2 6

3

x y

y x



37. 2 2 6

2

x y

y x



38. Graph the system of equations. Then determine whether the system has no solution, one solution, or

infinitely many solutions. If the system has one solution, name it. 5

6 2

y x

y x

A. no solution B. infinitely many

C. one solution; (4, 1) D. one solution; (1, 4)

y = –x – 1

y = x

+ 3

2x =

2y

–6 x = 4

y = x

– 2

1 2 3 4 5 6 7–1–2–3–4–5–6–7 x

1

2

3

4

5

6

7

–1

–2

–3

–4

–5

–6

–7

y

2 4 6–2–4–6 x

2

4

6

–2

–4

–6

y

2 4 6–2–4–6 x

2

4

6

–2

–4

–6

y

2 4 6–2–4–6 x

2

4

6

–2

–4

–6

y

2 4 6–2–4–6 x

2

4

6

–2

–4

–6

y



39. Use substitution to solve the system of equations; 5 1

4 10

y x

x y

A. 1,6 B. 0,9 C. 6,1 D. 9,0

40. Use substitution to solve the system of equations; 4 11

3 9

x y

x y

A. 3,2 B. infinitely many solutions C. 1,0 D. 2,3

41. Use elimination to solve the system of equations; 5 2 24

3 2 24

x y

x y

A. 3,6 B. 6,3 C. 12,0 D. 0, 12


4 3 1

x y

x y

A. 3,5 B. 0,11 C. 13, 3 D. 2, 3


3 3 9

x y

x y

A. 2,1 B. 3, 2 C. 1,2 D.

For questions 44 through 46, if , , , and

, find the sum, difference, or product. If the sum or difference does not exist,

write not possible.

44. Find 4A.

A.

8 16 36

0 24 12

4 8 16

B.

8 16 36

4 24 12

4 8 16

C.

8 16 36

0 24 12

5 8 16

D.

8 8 36

0 24 12

4 8 16

45. C - D

A. 45 113 89

6 110 22

B. 45 113 89

6 110 22

C.

45 113 89

6 110 22

D. 9 113 89

6 110 22

46. A + B

A.

2 11 29

8 8 18

13 3 13

B.

6 11 29

8 8 18

13 3 13

C.

2 11 29

0 8 18

13 3 13

D.

2 11 29

8 8 18

13 3 13



For questions 47 through 49, evaluate. Express the result in scientific notation.

47. 4 75.2 10 4 10

A. 1120.8 10 B. 112.08 10 C. 122.08 10 D. 102.08 10

48. 2 53.6 10 7 10

A. 325.2 10 B. 125.2 10 C. 22.52 10 D. 42.52 10

49. 3

5

5 10

16 10

A. 73.125 10 B. 83.125 10 C. 93.125 10 D. 103.125 10

50. Find the degree of the polynomial 4 3 23 2 5 4 1a a a a .

A. 11 B. 10 C. 4 D. 3

51. Find the degree of the polynomial 7 2 5 3 3 44 10 7a b a b a b .

A. 24 B. 9 C. 8 D. 7

52. Find the degree of the polynomial 9 3 7 4 5 59 8 12 3x y x y x y .

A. 34 B. 33 C. 27 D. 12

53. Arrange the terms of the polynomial so that the powers of x are in descending order for 2 2 3 37 3 2x y xy x y

A. 3 2 2 33 7 2y xy x y x B. 3 3 2 22 3 7x y xy x y

C. 3 2 2 32 3 7x xy x y y D. 3 2 2 32 7 3x x y xy y

54. Arrange the terms of the polynomial so that the powers of x are in descending order for 3 2 2 3 45 9 7 3x y x y y x

A. 4 3 2 2 33 5 9 7x x y x y y B. 4 3 3 2 23 7 5 9x y x y x y

C. 4 2 2 3 33 9 5 7x x y x y y D. 3 4 3 2 2 47 3 5 9 3y x x y x y x

For questions 55 through 58, find the sum or difference.

55. Find 27 4 9 5a a a

A. 24 21a a B. 24 12 9a a C. 24 35 9a a D. 3 220 71 63a a a

56. Find 2 25 4 2 3 6x y x y x

A. 2 26 3 4 3x x y y B. 2 26 7 4 3x x y y

C. 2 26 3 4 3x x y y D. 2 26 7 4 3x x y y

57. Find 28 4 5 1a a a

A. 24 13 1a a B. 24 3 1a a C. 24 3 1a a D. 24 13 1a a



58. Find 2 2 215 8 3 2 9 4p q q q q p

A. 2 24 15 12 6p p q q B. 2 24 15 6 6p p q q

C. 2 24 15 6 6p p q q D. 2 24 15 6 6p p q q

59. Find the product of 2 6 5 23 2 8 4r r r r .

A. 12 10 46 24 12r r r B. 8 7 46 24 12r r r C. 8 7 45 24 12r r r D. 8 7 46 24 12r r r

60. Find the product of 3 5 4 6 2 33 5 9 6s t s t s t t .

A. 12 30 6 15 3 515 27 18s t s t s t B. 7 11 5 8 3 615 27 18s t s t s t

C. 7 11 5 8 3 515 27 18s t s t s t D. 7 11 5 8 3 615 27 18s t s t s t

61. Solve the equation 2 4 3 3 5 10 15x x .

A. – 3 B. 9

7 C.

9

7 D. 3

62. Solve the equation 26 2 8 8 4 3 3 4p p p .

A. – 5 B. 5 C. 11

3 D.

13

3

63. Solve the equation 3 2 7 8 23y y y .

A. – 9 B. 73

3 C.

39

4 D. 13

64. Solve the equation 5 3 2 4 4 6( 1)m m m m .

A. 7 B. 29

7 C.

13

7 D. 29

65. Solve the equation 5 0q q .

A. 0, 5 B. 0,5 C. 1, 5 D. 0

66. Solve the equation 4 7 0r r .

A. 4,7 B. 0, 28 C. 3, 3 D. 4, 7

67. Solve the equation 3 15 2 0x x .

A. 2,5 B. 2,5 C. 2, 5 D. 2, 5

68. Solve the equation 23 4k k .

A. 0 B. 4

0,3

C.

40,

3

D. 3

1,4

69. Find the product of 6 7r r .

A. 2 42r B. 2 42r r C. 1r D. 2 42r r



70. Find the product of 5 3 4 6t v t v .

A. 2 220 18t v B. 2 220 18 18t tv v C. 2 220 18 18t tv v D. 2 220 18t tv v

71. Find the product of 25 4 3 6x x x .

A. 23 6 2x x B. 3 215 17 26 24x x x C. 3 215 17 26 24x x x D. 3 215 17 26 24x x x

72. Find the product of 2

5h .

A. 2 10 25h h B. 2 25h C. 2 25 25h h D. 2 10h

73. Find the product of 3 4 3 4c c .

A. 29 16c B. 29 24 16c c C. 29 24 16c c D. 29 16c

74. Find the GCF of 4 632 and 16t t .

A. 45t B. 616t C. 416t D. 532t

75. Find the GCF of 3 2 5 5 824 ,72 , and 108x y xy x y .

A. 26x y B. 5 88x y C. 224xy D. 12 xy

76. Factor the polynomial 10 25g h .

A. 5 2 5g h B. 5 5 20g h C. 5 2 5g h D. 5 2 5h g

77. Factor the polynomial 5 4 312 6 24j j j .

A. 3 23 4 2 8j j j B. 3 26 2 4j j j

C. 4 3 23 4 2 8j j j j D. 2 3 26 2 4j j j j

78. Factor the polynomial 24 8 5 10n n n , if possible. If the polynomial cannot be factored, write prime.

A. 4 5 2n n B. 4 8 5 10n n

C. prime D. 4 5 2n n

79. Solve the equation 2 10 24 0r r by factoring.

A. 4,6 B. 4, 6 C. 2,12 D. 2, 12

80. Solve the equation 2 2 15 0x x by factoring.

A. 3,5 B. 3, 5 C. 3,5 D. 3, 5



81. Solve the system of inequalities by graphing.

4

2 4

y x

y x

A. B.

C. D.

82. Solve the system of inequalities by graphing.

4

4

y x

x

A. B.

C. D.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y


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allen park high school - aphs counseling department · 2018-09-06 · algebra 1 semester review...

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