6XPPHU 0DWK 3DFNHW · % d 7 5 ) 4 p.[x:w:d* (6$rki;wlz'dsu8hy -/:/9&& e 5 )$:ouo; quwlqj/kewwv$ %uwh-v0dd+g4h? vzllfw$kb &,;q&i(l6qel$w=h- ?3;u&hh n$6objihjezu7d0

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Entering Algebra 2Summer Math Packet

Name___________________________________©A C2l0N1f9N UKsumttan xSko]fatiwsaTr_ek ILALtCn.w g dADlYlC jrIicgEhdtYsj urXeSsCe_ravdeNdz.

-1-

Evaluate each using the values given.1) h( j j); use h, and j

Write each as an algebraic expression.2) 5 less than y

Plot each point.3) D(, )

G(, ) E(, )H(, ) F(, )

x

y

Solve each equation.4) (k) 5) p(p)

6) r(r) 7) (x)x

8) You had $22 to spend on five avocados. After buying them you had $12. Howmuch did each avocado cost?

9) Shanice spent half of her weeklyallowance playing arcade games. To earnmore money her parents let her clean thegutters for $6. What is her weeklyallowance if she ended with $16?

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Solve each equation for the indicated variable.10) ka

vw , for a 11) manp , for a

12) Find STFm if STUm °and FTUm °.

UF

S T

13) Find x if SRQm °, SRMm x, and MRQm x.

Q

MS

R

14) Find MLCm if MLCm x, CLKm x, and MLKm °.

K

C M

L

Solve each inequality and graph its solution.15) xx

Solve each problem.16) 25 is what percent of 144?

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Find the slope of the line through each pair of points.17) (, ), (, ) 18) (, ), (, )

Write the slope-intercept form of the equation of each line.19) xy 20) y(x)

21)

x

y

22) xy

23) yx

Write the slope-intercept form of the equation of the line through the given points.24) through: (, ) and (, )

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Sketch the graph of each line.25) y x

x

y

26) xy

x

y

27) xy

x

y

28) yx

x

y

29) xy

x

y

30) xy

x

y

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Sketch the graph of each linear inequality.31) y x

x

y

Solve each system by substitution.32) xyxy

Solve each system by elimination.33) xyxy

34) Jessica and Lisa are selling cheesecakes for a school fundraiser. Customers can buy New Yorkstyle cheesecakes and strawberry cheesecakes. Jessica sold 7 New York style cheesecakes and 2strawberry cheesecakes for a total of $62. Lisa sold 14 New York style cheesecakes and 5strawberry cheesecakes for a total of $134. Find the cost each of one New York style cheesecakeand one strawberry cheesecake.

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Simplify. Your answer should contain only positive exponents.

35) (v)vv 36) v

(uvuv)

Sketch the graph of each function.

37) y() x

x

y

38) yxx

x

y

39) yxx

x

y

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Find each product.40) (k)(k)

Factor the common factor out of each expression.41) aa

Factor each completely.42) bbb 43) mm

44) nn 45) vv

46) m

Solve each equation by taking square roots.47) p

Solve each equation with the quadratic formula.48) nn

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Simplify.49) 50)

51) 52)

53) 54)

55) 56)

57) 58)

59) 60)

61)

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Solve for x.62) H JI

x

x

63)

°x

Find the length indicated.64) Find AB

A CB

x x

List all information given by the marks on the diagram.65)

x

E

wvBA

C

D

66) Q

S

R

T

U

V

67)

Q P

R

T

S

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Find the midpoint of the line segment with the given endpoints.68) (, ), (, )

Find the midpoint of each line segment.69)

x

y

Find the distance between each pair of points.70) (, ), (, ) 71)

x

y

Find the slope of each line.72)

x

y 73) yx

Find the slope of a line parallel to each given line.74) y x

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Find the slope of a line perpendicular to each given line.75) y x

Write the slope-intercept form of the equation of each line given the slope and y-intercept.76) Slope = , y-intercept =

Write the standard form of the equation of the line through the given points.77) through: (, ) and (, ) 78) through: (, ) and (, )

Find the measure of each angle indicated.79)

°°

? 80)

°° ?

Find the area of each.81)

mi

mi

82) in in

83) cm

cm

84)

cm

cm

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Write the name of each polygon.85) 86)

Solve each proportion.87)

x 88)

p

89) p

90) x

Find the missing side of each triangle. Leave your answers in simplest radical form.91)

x m

m 92) yd x

yd

Find the value of each trigonometric ratio.93) tan A

40

9

41

A

B C

94) tan Z

28 21

35Z

Y

X

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95) sin C 12

35

37C

B A

Find the missing side. Round to the nearest tenth.96)

11x

61°

97) x

1836°

Find the area of each. Use your calculator's value of . Round your answer to the nearesttenth.98)

5 in

Find the circumference of each circle. Use your calculator's value of . Round your answer tothe nearest tenth.99)

20 km

100) radius = mi

Find the measure of angle b.101)

65°b

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102)

128°b

Find the value of x.103)

77°(4x + 1)°

104)

102°

3x°

105)

82°

2x°

106)

57°

(6x + 3)°

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Find the measure of angle A.107)

°

x

x A

Complete each congruence statement by naming the corresponding angle or side.108) JKL ULS

J

K

L U

S

K ?

109) DCB DGH

CB

D

G H

CB ?

Each figure shows a triangle with one of its angle bisectors.110) Find UWVm if 1m 35°.

W

V

U

P

12

111) 2m x and XZYm x.Find x.

Z

Y

X

P12

Find the value of x.112)

110°x

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113)

x

114)

x

115) 2m x

60°

Find the missing side lengths. Leave your answers as radicals in simplest form.116)

x y45°

117)

x

y

45°

Honors: Find the missing side lengths. Leave your answers as radicals in simplest form.118)

x

y 60°

119)

x

y 60°

Honors: Find the area of each regular polygon. Round your answer to the nearest tenth ifnecessary.120)

121)

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Identify the center and radius of each. Then sketch the graph.122) (x)(y)

x

y

123) (x)(y)

x

y

Use the information provided to write the equation of each circle.124) Center: (, )

Radius: 125) Center: (, )Point on Circle: (, )

126) Ends of a diameter: (, ) and (, ) 127)

x

y