Algebra 1 Semester Review Winter 2016 ALLEN PARK HIGH … · 2018. 6. 14. · Algebra 1 Semester Review Winter 2016 APHS/MATH Select the best answer for all 83 questions. Please show

Algebra 1 Semester Review Winter 2016

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

A l g e b r a 1

Winter 2016


APHS/MATH

Select the best answer for all 83 questions. Please show all work (or attach on separate paper) and clearly mark what your final answer is.

1. Find 1 2

3 5− =

A. 115

B. 115

− C. 15

D. 13

−

2. Find 1 2

3 8÷ =

A. 96

B. 43

C. 83

D. 12

3. Find 1 2

2 3+ =

A. 32

B. 52

C. 76

D. 53

4. Find 78

i 12=

A. 45

B. 110

C. 45

D. 716

5. Using the line graph to the below, in which month where the sales the lowest at the school supply store.

A. September B. October C. November D. December

6. Using the pie chart below which two activities combined represent about 50% of the summer campers time?

A. Crafts and Eating B. Hiking and Canoeing C. Canoeing and Hiking D. Hiking and Eating


APHS/MATH

7. Out of the 26 students that were surveyed about their height in centimeters, exactly 6 of them said they had a height of

___________ cm.

A. 131-140 cm B. 141-150 cm C. 161-170 cm D. 171-180 cm

8. Write the following algebraic expression as a verbal expression: 2 18a b−

A. A number a cubed minus the product of 18 and b B. A number a decreased by the quotient of 18 and b C. A number a squared less than 18 time b D. A number a to the second power decreased by the product of 18 and a number b

9. Write the following algebraic expression as a verbal expression: 6t −

A. The variable t less than six B. Six decreased by the variable t

C. Six less than the variable t D. Six more than the variable t

10. Write the following verbal expression as an algebraic expression: One-eighth of the variable y squared.

A. 218

y− B. 21 8y− C. 218y D. 28y

11. Write the following verbal expression as an algebraic expression: 6 more than the product of 2 times x

A. 6 – 2x B. 6x + 2 C. 6x(2) D. 2x + 6

12. Use the order of operations to solve 216 8 2 14− ÷ +

A. 158 B. 28 C. 15 D. 26

13. Use the order of operations to solve 5 23 (1 10 )− +

A. 342 B. -86 C. 142 D. 34

14. Use the order of operations to solve the following expression when x = 4, y = 5, z = 3: 2 33 (2 )x y z+ +

A. 31 B. 41 C. 112 D. 85

15. Use the distribution to expand 23( 2 1)x x− +

A. 23 6 3x x− + B. 23 5 3x x+ −

C. 23 6 4x x− + − D. 23 6 3x x− + −


APHS/MATH

16. Translate each sentence into an equation: Two plus the quotient of a number and 8 is the same as 16.

A. 2 8 16n+ =

B. 16 28n

+ =

C. 2 168n

+ =

D. 2 8 16n + =

17. Translate each sentence into an equation: The sum of q and 4 times t is 29.

A. 4 29q t =g

B. 4 29tq=

C. 4 29q t+ =

D. 294

qt

=

18. Translate each sentence into an equation: The density of an object is the quotient of its mass and its volume.

A. D =mv B. M=d-v C. V= m-d D. D=m/v

19. Solve 6 3x − = −

A. -3 B. 3 C. 9 D. -9

20. Solve 31 62x− = −

A. 2 B. 31 C. -31 D. -2

21. Solve 75

8a +

=

A. 20 B. 42 C. 33 D. -10

22. Solve 8 16 8n= +

A. 3 B. -2 C. -1 D. -8

23. Solve 5 4.8 6.7x− − =

A. -1.34 B. -2.3 C. -9.5 D. -0.38

24. Solve 6 85y− =

A. 10 B. 0.4 C. 70 D. 9

25. Solve 3 2 7w w+ =

A. 5 B. 2 C. 1/5 D. ½

26. Solve 8 10 3(6 2 )s s− = −

A. -2.8 B. 0.5 C. 2 D. 2.8 27. Evaluate 3 6−

A. 3 B. -3 C. 9 D. -9


APHS/MATH

28. Evaluate 5 2 1− − +

A. 6 B. -6 C. -2 D. 2

29. Solve for k: 211

5k

j−

=

A. k = 55j + 2 B. k = 11j - 3 C. k = 55j + 7 D. k = -55j - 2 30. Solve for c: x b cd= −

A. = -

cx bd−

B. = - c xbd

C. = cxbd

D. = +1

c xbd

31. Solve for r: 2C rπ=

A. 2 = rCπ

B. = 2r Cπ + C. = 2Crπ

D. = 2r Cπ

32. Determine if the following equation is linear or non-linear: 15 3 5xy y= +

A. Linear B. Not Linear; variable(s) have exponents C. Not Linear; variable(s) in the denominator D. Not Linear: variables being multiplied together

33. Determine if the following equation is linear or non-linear: 2 5 3x y− =


34. Determine if the following equation is linear or non-linear: 27 5xy

− =


35. Determine if the following table represents a linear or non-linear graph.

A. Linear; both the x- and y-values have a constant change B. Linear; only the x-values have a constant change C. Not Linear; neither the x- or y-values have a constant change D. Not Linear; the y-values are decreasing and the x-values are increasing

36. Find the x-intercept for the following equation: 2 4 16x y+ =

A. (0, 8) B. (8, 0) C. (0, -8) D. (-8, 0)

x y 0 15 1 13 2 11 3 9 4 7


APHS/MATH

37. Find the y-intercept for the following equation: 4 2y x= +

A. (4, 0) B. (0, 4) C. (-4, 0) D. (0, -4)

38. Determine the Rate of Change for the following table:

A. 23

B. 32

C. 32

− D. 23

−

39. Determine the Rate of Change for the following graph:

A. 2− B. 12

−

C. 2 D. 12

40. Determine the Rate of Change for the following equation: 6y x= −

A. 6 B. 16

C. -6 D. 16

−

41. Determine the slope of the following 2 points: (-2, 0) & (1, 5)

A. -5 B. 53

C. 5 D. 35

42. Determine the slope of the following 2 points: (3, 6) & (3, -2)

A. 0 B. Undefined C. 53

− D. 35

−

43. Find the missing value of r for the following 2 points and slope: (-2, 6) (r, -4) m = -5

A. 4 B. -4 C. 0 D. 2

44. Find the missing value of r for the following 2 points and slope: (-8, 6) (r, 5) m = undefined

A. 6 B. -8 C. 5 D. -

45. Write an equation in slope-intercept form given: slope =13

y-intercept=-6

A. 16

3y x= −

B. 16

3y x= − +

C. 16

3y x= −

D. 13

6y x= −

x y 1 -6 4 -8 7 -10

10 -12 13 -14

4

2

2

4

5 5

1,1( )

0,3( )


APHS/MATH

46. Write an equation in slope-intercept form given: slope = 23

− y-intercept= 12

−

A. 2 13 2

= +y x

B. 1 22 3

= − −y x

C. 2 13 2

= − −y x

D. 3 22

= − −y x

47. Rewrite the following equation into slope-intercept form: 3 2 6− =x y

A. 3 32

= − +y x

B. 3 32

y x= +

C. 2 23

= −y x

D. 3 32

= −y x

48. Rewrite the following equation into slope-intercept form: 15 3=y

A. 13

=y

B. 3=y

C. 15

=y

D. 5=y

49. Write an equation of the line with a slope of 27

and y-intercept of – 3.

A. 2 – 37

= −y x B. 7 – 32

=y x C. 2 37

= +y x D. 2 – 37

=y x

50. Write an equation of the line with a slope of 0.8 and y-intercept of 10.

A. 0.8 10= − +y x B. 0.8 10= −y x C. 0.8 10= +y x D. 5 107

= +y x

51. Write an equation of the line that passes through the point ( )3, 4− − and slope 3=m .

A. 3 13= +y x B. 3 5= −y x C. 3 5= − +y x D. 3 5= +y x 52. Write an equation of the line that passes through the points ( ) ( )5,8 and 3, 8− − − .

A. 8 22= − +y x B. 8 32= − +y x C. 8 32= − −y x D. 8 48y x= +

53. Beach Bike Rentals charges $5.00 plus $0.20 miles to rent a bicycle. Write an equation for the total cost C of renting a bicycle for m miles.

54. A. 5 0.2= +C m B. 0.2 5= +C m C. 5 0.2= +m C D. 5 2= +C m


APHS/MATH GO ON TO THE NEXT PAGE

. 55. Write an equation in slope-intercept form for the following graph:

A. 3y x= +

B. 3y x= −

C. 3y x=

A. 3 6y x= − + 56. Write an equation in slope-intercept form for the following graph:

A. 3 1y x= − + B. 3 3y x= + C. 3x = D. 3y =

57. Write an equation in slope-intercept form for the following graph:

A. 5y = − B. 5x = − C. 5y x= − D. 5 5y x= − +

58. A television repair shop charges $35 plus $20 per hour. The situation can be represented by the equation

35 20= +C h . What is the cost of repairing a television that takes four hours to repair?

A. $80 B. $55 C. $115 D. $239 59. Solve the inequality 3 2− <k and identify the correct graph of the solution on the number line.

A. 1< −k B. 5>k C. 1<k D. 5<k

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

A. 4 ≥ w B. 8 ≥ w C. 8− ≥ w D. 4 ≤ w

4

2

2

4

5 5

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

4

2

2

4

5 5

6

4

2

2

4

6

5 5



For questions 74 through 78, solve each inequality.

61. 124≥

b

A. 48≥ −b B. 16≥b C. 60≥b D. 48≥b

62. 9 72≤ −m

A. 8≥ −m B. 8≤ −m C. 81≤ −m D. 648≤ −m

63. 3 9 15+ >h

A. 4> −h B. 2>h C. 6>h D. 2<h

64. 3 3 6 15+ − >a a

A. 6< −a B. 4>a C. 4< −a D. 4> −a

65. 1 9 8 4− ≥ − − +n n

A. 35− ≥ n B. 215

− ≥ n C. 185≤ n D. 21

5− ≤ n

For questions 79 and 80, solve the compound in equality and identify the correct graph on the number line. 66. 8 1 and 3 3+ ≥ − <u u

A. 7 6− ≤ <u B. 0 9≤ <u C. 7 6u− < ≤ D. 0 9≤ <u

67. 6 1 or 2 8− > − + >g g

A. 5<g B. 5 6< <g C. 5>g D. 6>g

68. Solve 1 8+ >d

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



A. 9< −d B. 7>d C. 9 7− < <d D. 9 or 7< − >d d

69. Solve 5 4 7+ ≤c

A. 115

≤ −c B. 35

≤c C. 11 35 5

− ≤ ≤c D. 11 3 or 5 5

≥ − ≥c c

For questions 84 through 86 use the graphs to determine the number of solutions each system has. 84. 4

2xy x=

= −

A. no solution B. one C. two D. infinitely many 85. 4

2 2 6xx y=

= −

A. no solution B. one C. two D. infinitely many 86. 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.

56 2

y xy x= − +

= −

A. no solution B. infinitely many C. one solution; (4, 1) D. one solution; (1, 4)

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

4 10y xx y= +

+ =

A. ( )1,6 B. ( )0,9 C. ( )6,1 D. ( )9,0 90. Use substitution to solve the system of equations; 4 11

3 9x yx y+ =

+ =

A. ( )3,2 B. infinitely many solutions C. ( )1,0 D. ( )2,3 91. Use elimination to solve the system of equations; 5 2 24

3 2 24x yx y− =

+ =

A. ( )3,6 B. ( )6,3 C. ( )12,0− D. ( )0, 12− 92. Use elimination to solve the system of equations; 2 5 11

4 3 1x yx y+ =

+ =

A. ( )3,5− B. ( )0,11 C. ( )13, 3− D. −2,3( ) 93. Use elimination to solve the system of equations; 4 2 8

3 3 9x yx y+ =

+ =

A. ( )2,1− B. ( )3, 2− C. ( )1,2 D. ( )φ

y = –x – 1y =

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


APHS/MATH STOP ─ DO NO GO ON

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Algebra 1 Semester Review Winter 2016 ALLEN PARK HIGH … · 2018. 6. 14. · Algebra 1 Semester Review Winter 2016 APHS/MATH Select the best answer for all 83 questions. Please show