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TRANSCRIPT
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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