8. Solve each inequality. 9

Name_________________________________________Date_________________________Period_____________ CCPS Geometry Summer Packet of Prerequisite Skills __________________________________________________________________________________________________ Instructions:  This packet will be due the first week of school. You will submit this packet to your geometry teacher during the first week of class.  Work all problems on this packet with a #2 pencil. .  You must show all work. You may attach clean sheets of notebook paper if you need additional space, but work shown must be neatly organized  Follow all directions to each set of problems.  This work is independent work. You may enlist the help of a tutor on concepts, but not specific problems in this packet.  Do not give answers in decimal form! Fraction answers should be written as reduced improper fractions. __________________________________________________________________________________________________

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Solve each inequality. ( ) 9.

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10.

CCPS Summer Packet – Geometry 2014

Name_________________________________________Date_________________________Period_____________

11. (

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Solve each system of equations using the substitution method. Write your answers as an ordered pair. 13. 14.

15.

16.

Solve the system of equations using the elimination method. Write your answers as an ordered pair. 17. 18.

CCPS Summer Packet – Geometry 2014

Name_________________________________________Date_________________________Period_____________

Solve the system of equations using the elimination method. Write your answers as an ordered pair. 19. 20.

Find the slope of the line passing through each pair of points. ) 21. ( ( ) 22. (

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Use the slope formula to determine if ) ( ) ( ) ( ) 25. (

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parallel, perpendicular, or neither. _________________________

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Find the distance between the two points. Leave answers in reduced radical form. No decimals. 29. ( ) ( ) 30. ( ) ( )

CCPS Summer Packet – Geometry 2014

Name_________________________________________Date_________________________Period_____________

Find the coordinates of the midpoint of ̅̅̅̅. ) 31. ( ( ) (

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Simplify. 35. √

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Multiply. Terms of final answers should be in descending exponent order. 47. ( )( ) 48. ( )(

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Factor the polynomial if possible. 51.

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56.

CCPS Summer Packet – Geometry 2014

Name_________________________________________Date_________________________Period_____________

Simplify each expression. 58. (

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60.

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Simplify completely each expression. 62. (

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Simplify completely. 65. ( ) (

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Use the quadratic formula to solve the equations. If the equation has no real solutions, write no real solutions. Write all answers in simplest radical form. 69.

70.

Simplify each expression.

71.

74.

73.

72.

75.

CCPS Summer Packet – Geometry 2014

Name_________________________________________Date_________________________Period_____________

Graph the following: 76.

77.

79.

80.

78.

For each equation find the x- and y-intercepts and graph. 81. 82.

CCPS Summer Packet – Geometry 2014