Mathacle PSet ---- Algebra, Mixed Topics Midterm Exam Reviewmathacle.com/.../Mathacle_PSet_Midtern_EXAM_Review_Algeo_level… · Mathacle PSet ---- Algebra, Mixed Topics Level ----

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ Midterm Exam Review 1. ___________________( | 6.2 |)− − − =

(A) -6.2 (B) -|6.2| (C) 6.2 (D) -|-6.2|

2. ___________________

| 8 8 |15

1

− +− − =−

(A) -31 (B) -15 (C) 1 (D) -14 3. ( 13 )( 2) _______y− − = (A) 213y (B) y26 (C) y15−

(D) 213 −− y 4. ( 1)( )( )( ) ________x x x− − − = (A) x3− (B) x (C) x− (D) 3x−

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 5. 2( 4)( 2) _______t− − − = (A) 4+− t (B) 164 +t (C) 4−− t (D) 82 +− t 6. Solve 2 5x y+ = for y ________________ (A) 52 += xy (B) 52 −−= xy (C) 52 +−= xy (D) xy 25+=

7. Solve 1

103

x y− = for y ________________

(A) 303 −= xy (B) 103 −= xy (C) 103 +−= xy (D) 30−= xy 8. Solve 2 3 1a b a b− = + + for a ________________ (A) 12 −−= ba (B) 12 += ba (C) 12 +−= ba (D) 12 −= ba

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________

9. Solve ______,5

3

7== x

x

(A) 4.2

(B) 21

5

(C) 42

(D) 2

3

10. ______,6

956 =+−=− y

y

(A) 31

9

(B) 9

5

(C) 31

9−

(D) 9

31−

11. Simplify 2 25 3(2 2 ) ____x x x+ − = (A) xx 62 +− (B) x5 (C) 25x (D) xx 35 2 −

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 12. Simplify 2 3 2 2(2 ) (3 ) __________xy y = (A) 10372 yx

(B) 9354 yx

(C) 1036 yx

(D) 9336 yx 13. Simplify 2 2( 5)( 1) __________x x− + − = (A) 54 24 −+ xx (B) 56 24 −+− xx (C) 54 24 ++ xx (D) 56 24 −− xx 14. Simplify 2 2 2 3(1 )(2 )(4 ) ________pq p q p q = (A) 546 qp

(B) 548 qp

(C) 658 qp

(D) 656 qp 15. Factor 2 19 34x x+ + (A) ( 2)( 17)x x− + (B) Prime (C) ( 2)( 11)x x+ + (D) ( 17)( 2)x x+ +

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 16. Factor 22 56 yxyx ++ (A) ))(5( yxyx ++ (B) Prime (C) )3)(2( yxyx ++ (D) ))(5( yxyx −− 17. Factor ( 3) 9( 3) ____________c c c+ − + = (A) )3)(9( +− cc (B) Prime (C) )9)(3( +− cc (D) )3(9( +cc 18. Factor 2 20 44x x− − (A) ( 20)( 2)x x+ + (B) Prime (C) ( 22)( 2)x x+ − (D) ( 22)( 2)x x− + 19. Factor 273 2 ++ xx (A) )2)(13( ++ xx (B) Prime (C) )2)(13( −− xx (D) )2)(3( ++ xx

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 20. Find the GCF of 14 and 72 (A) 2 (B) 7 (C) 14 (D) 504 21. Shelley made seven more sales calls than Clark. Shelley and Clark made a total of 33 sales calls. How many sales calls did each make? (A) Shelley made 20 and Clark made 13 (B) Shelley made 13 and Clark made 20 (C) Shelley made 24 and Clark made 9 (D) Shelley made 9 and Clark made 24 22. Factor 2 4 2 3 _________________c d c d− = (A) )(32 ddc

(B) )0(32 −ddc

(C) )1(32 −ddc

(D) )1(42 −ddc 23. Express (2 1)(3 4)x x− − as a polynomial (A) 26 11 4x x− + (B) 26 11 4x x+ + (C) 26 3 4x x− + (D) 26 11 4x x− −

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 24. Express (2 1)(3 2)x x− + as a polynomial (A) 276 2 −+ xx (B) 26 2 −+ xx (C) 25 2 ++ xx (D) 275 2 −+ xx 25. Express )2)(13( ++ xx as a polynomial (A) 273 2 −− xx (B) 253 2 −+ xx (C) 273 2 ++ xx (D) 274 2 −+ xx 26. A wooden rod 60 in long is sawed into two pieces. One piece is 4 in. longer than 3 times of the length of the other. What is the length of the longer piece? (A) 46 (B) 44 (C) 42 (D) 40 27. Lee bicycled 4 km farther than Wing. The sum of the distances they bicycled was 25 km longer than the difference of distances they traveled. How far did Lee go? (A) 12.5 (B) 16.5 (C) 17.5 (D) 18.5

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 28. If the slope is -10 and y-intercept is 4, then the linear equation is:_________ (A) 410 += xy (B) 410 +−= xy (C) 410 −−= xy (D) 410 −= xy 29. Four more than n less two: ___________. (A) 24 −+ n (B) 24 −> n (C) 24 −= n (D) 24 <+ n 30. Four less than a third of two less than a number

(A) )2(3

14 −< x

(B) )2(3

14 −− x

(C) 4)2(3

1 −−x

(D) )2(3

14 −> x

31. Solve __________,35113 =+x (A) 5 (B) 6 (C) 7 (D) 8

Mathacle


32. Solve __________,74

5 =− x.

(A) 8 (B) 48 (C) 8− (D) 2 33. Solve __________,6)42(38 −=−− xx . (A) 7− (B) 9 (C) 8 (D) 9−

34. If 0)4(3 =−−x , what does 4

4

+−

x

x equal? _________.

(A) undefined (B) 0 (C) 1

(D) x

x

+−

4

4

35. Find the slope of the line that passes through (4,4) and (-4,6).

(A) 1

4

(B) 1

4

−

(C) 0 (D) No Slope

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 36. Find the slope of the line that passes through (1,2) and (-3,8).

(A) 3

2−

(B) 9

2−

(C) 2

3

(D) 2

3−

37. Find the slope and y-intercept of the line that whose equation is 3

22

y x= − .

(A) 3

2,2

−

(B) 3

, 22

− −

(C) 3

, 22

−

(D) 3

2,2

− −

38. Find the slope and y-intercept of the line that whose equation is y x= . (A) 1, 0 (B) 0,1 (C) No Slope and y-intercept is one (D) No Slope, and no y-intercept

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 39. Find the equation of a line with slope 4− that passes through (12,-3). (A) 4 45y x= − − (B) 4 45y x= + (C) 45 4y x= − (D) 4 45y x= − + 40. In which quadrant is the graph of (-3,5)? (A) I (B) II (C) III (D) IV 41. In which quadrant is the graph of (4,-4)? (A) I (B) II (C) III (D) IV 42. Where is the graph of (-3,0) in the coordinate plane? (A) in Quadrant II (B) in Quadrant III (C) on the x-axis (D) on the y-axis

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 43. Find the slope of the line whose equation is y+3=0? (A) 3 (B) 0 (C) -3 (D) 1 44. Solve for b in the equation c by a+ = .

(A) a c

by

−=

(B) c a

by

−=

(C) y

ba c

=−

(D) c a

by

+=

45. Solve for x in the equation 143 =+ yx .

(A) 3

41 yx

−=

(B) yx 413 −=

(C) yx −=3

1

(D) 3

41

yx −=

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 46. The tuition rates for in-state residents to attend a state college are shown in the graph below

In which year, the tuition is $7,000? (A) 2 (B) 3 (C) 4 (D) 5

47. Solve 4

4 5

x x +=

(A) 4 (B) 16 (C) no sloution (D) 0

Mathacle


48. Solve 2 3 2 5

4 5

x x+ −=

(A) 35

2

(B) 35

2−

(C) 2

35

−

(D) 5

2

49. Which equation represents the graph below?

(A) 2

13

y x= +

(B) 3 1y x= −

(C) 3

12

y x−= +

(D) 2

13

y x= −

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 50. If 12x is 5 more than 2x, what is the value of 2x? (A) 5/14 (B) 10 (C) 1/2 (D) 1

51. Find the slope from the graph:

(A) 2

3

(B) 3

2

(C) 1

(D) 4

6

Mathacle


52. The graph below represents Karen’s Marathon Time vs. Distance chart.

During which time period do you think Karen run faster: in interval A or D? __________

(A) A (B) D (C) Can’t decide. (D) Same.

53.

Which of the following are the coordinates of a point on the line l in the xy-plane above? (A) (1, 1)− (B) ( 5, 5)− − (C) (0,1) (D) (5, 0)

Mathacle


54.

In the figure above, the slope of line segment AB is 4

5

−. What is the value of k ?

(A) 7 (B) 5.7 (C) 8 (D) 5.8

55. .) The line that represents the equation 2 3y x= − contains the point (5, )k . Find k.

(A) 7 (B) 6 (C) 5 (D) 4

Mathacle


56. Which line(s) above has or have the positive slope. (A) a,b only (B) c only (C) a only (D) d only 57.

In the figure above, what is the y-intercept of line l ?

(A) s

r

(B) r

s

(C) s (D) r

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 58.

Which is the equation of line above?

(A) 3 2 4x y+ = (B) 3 2 6x y+ =

(C) 3

32

y x= +

(D) 2

33

y x= − +

59. 64 _____________= (A) 6 (B) 7 (C) 8 (D) 9

60. 3200 _____________x =

(A) xx 2100

(B) xx 210

(C) x210

(D) 210x

Mathacle


61. 3 27 _____________= (A) 6

(B) 33 (C) 3

(D) 3 93 62. Which is an equation of the line that passes through the points )15,5( and )20,10( ? (A) 10+= xy (B) 30−= xy (C) 30+= xy (D) 15+= xy

63. 2 32 8 _____________p q =

(A) qpq 22

(B) qpq 24

(C) qpq2

(D) 22pq 64. 2 81, _____________x x= = (A) 9 (B) 9− (C) 81,81 − (D) 9,9−

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 65. What is the value of the expression yx 2)4(3 −+ , if 5=x and 3−=y ? (A) 7− (B) 11 (C) 21 (D) 33 66. Which expression is equivalent to )124(3 22 ++ xxx ? (A) 457 2 ++ xx (B) 234 457 xxx ++ (C) 3612 2 ++ xx (D) 234 3612 xxx ++

67. Which of the following is equivalent to 43

34

yx

yx?

(A) y

x

(B) x

y

(C) xy

(D) 77 yx 68. Which of the following is equivalent to ( )32xy− ? (A) 32xy−

(B) 332 yx−

(C) 336 yx−

(D) 338 yx−

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 69. Which of the following is equivalent to 4242 yx− ?

(A) ( )224xy

(B) ( )222xy

(C) ( )224xy−

(D) ( )224xy− 70. 22 4 44, _____________x x+ = =

(A) 25±

(B) 52

(C) 5±

(D) 52± 71. The relationship shown in the table is a direct variation: x Y 5 15 6 18 7 21 8 24 Which equation best represents this relationship? (A) 54 −= xy (B) 10+= xy (C) xy 3=

(D) xy3

1=

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 72. Solve ( 2)( 1) 0, _________y y y− + = = ? (A) 1,2 − (B) 1,2− (C) 2− (D) 1 73. Solve (2 3)(3 2) 0, ________x x x− − = = ?

(A) 2

3,

3

2

(B) 2

3,

3

2 −−

(C) 3

2−

(D) 2

3−

74. Solve 26 17 7 0, _________x x x+ + = = ?

(A) 1,6

7

(B) 1,6

7 −−

(C) 2

1,

3

7 −−

(D) 2

1,

6

7 −

Mathacle


75. Solve 15

4 3 38

x y

x y

+ = + =

(A) 13,28 −== yx (B) 22,7 =−= yx (C) 8,7 == yx (D) 2,13 == yx 76. If xxxf −= 22)( , then ( 2) ________f − = (A) 10 (B) 4− (C) 12− (D) 10− 77. If ( ) 1 3f x x= − , then (2 1) ________f k + = (A) 16 +k (B) 26 −− k (C) 45 +k (D) 25 −k

78. If 2 5

( )4

xh x

− += , find ( ) (4 ) 1 __________g x h x= − =

(A) 4

56 +− x

(B) 12 +x

(C) 4

58 +− x

(D) 12 +− x

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 79. x ( )f x ( )g x

-1 5 -2

0 3 3

1 -3 -5

2 2 0

3 0 3

Several values of the functions ( )f x and ( )g x are shown in the above

table. For what x is ( ) (2)f x g= ?

(A) 3 (B) 3− (C) 0 (D) 5

80.

(A) 6 (B) 5 (C) 4 (D) 3

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 81. The ratio of the number of boys to the number of girls is 4:3 in a class. There

are 24 boys. How many girls are there in the class?

(A) 24 (B) 18 (C) 16 (D) 12 82.

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

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 83.

(A) 30 (B) 29 (C) 28 (D) 27

84. Simplify

213

3

−

(A) 18

1

(B) 81

1

(C) 9

1

(D) 1

85. Simplify

30

2

3 2

2

−

−

⋅

(A) 92

(B) 92

1

(C) 623⋅ (D) 623 −⋅

Mathacle


86. Simplify

3 3 42

3

h j k

jk

−

(A) 4

332

j

kh

(B) 4

33

3

2

j

kh

(C) 3

43

3

2

j

kh

(D) 5

43

3

2

k

jh

Questions #87 - #90 refer to the table below: Item initial

Price New Price

Price Increase

% of increase

Jeans $25 $30 X W School Lunch

$1.60 $2.00 Y K

Haircut $10.00 $14.00 Z Z 87. What is X, the price increase of Jeans? (A) 10 (B) 10− (C) 5 (D) 5− 88. What is W, the percent of price increase of Jeans? (A) 20% (B) 17% (C) 20%− (D) 5%

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ 89. What is total price increase of all three items combined? (A) 40.9$ (B) 9$ (C) 40.4$ (D) 40.5$ 90. What is percent of price increase of total three items combined? (A) %68.25 (B) %65.40 (C) %25.20 (D) %15.35

Mathacle

PSet ---- Algebra, Mixed Topics Level ---- 1 Number ----- 1 Name: ___________________ Date: _____________ Answer Key: 1. C 2. B 3. B 4. D 5. B 6. C 7. A 8. A 9. A 10. D 11. A 12. A 13. B 14. C 15. D 16. A 17. A 18 D 19. A 20. A 21. A 22. C 23. A 24. B 25. C 26. A 27. A 28. B 29. A 30. C

31. D 32. C 33. D 34. A 35. B 36. D 37. C 38. A 39. D 40. B 41. D 42. C 43. B 44. A 45. A 46. D 47. B 48. B 49. A 50. D 51. B 52. D 53. B 54. D 55. A 56. A 57. D 58. B 59. C 60. B

61. C 62. A 63. B 64. D 65. D 66. D 67. A 68. D 69. D 70. D 71. C 72. A 73. A 74. C 75. B 76. A 77. B 78. C 79. A 80. D 81. B 82. C 83. C 84. B 85. B 86. B 87. C 88. A 89. A 90. A

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Mathacle PSet ---- Algebra, Mixed Topics Midterm Exam Reviewmathacle.com/.../Mathacle_PSet_Midtern_EXAM_Review_Algeo_level… · Mathacle PSet ---- Algebra, Mixed Topics Level ----