Download Pretest - Reading Community Schools

Name: ______________________
Class: _________________
Date: _________
ID: A
CC Geometry Pretest
____
1. Write the exponential expression 3x
A. 3
B.
8
8
C. 3
3
8
in radical form. (N.RN.2)
x3
D. 3
3x 3
3
3
8
8
x3
E. I don’t know.
x8
Simplify the expression. (N.CN.2)
____
2. (i)(−7i)
A. –7i
B. 7i
C. –7
D. 7
E. I don’t know.
Simplify the sum. (A.APR.1)
____
3. (2u 3 + 6u 2 + 3) + (2u 3 – 7u + 6)
A. 9 – 7u + 6u 2 + 4 u 3
B. 4u 3 + 6u 2 – 7u + 9
C. 0u 3 + 6u 2 – 7u + 9
____
D. 0u 3 – 7u 2 + 6u – 9
E. I don’t know.
4. A biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year
period. The biologist modeled the populations, in thousands, with the following polynomials where x is
time, in years.
2
White-sided jackrabbits: 9.7x − 0.8x + 2.3
2
Black-tailed jackrabbits: −1.1x + 7.7x + 5.4
What polynomial models the total number of white-sided and black-tailed jackrabbits?
2
A. −8.6x + 6.9x − 7.7
2
B. 8.6x + 6.9x + 7.7
2
C. 8.6x − 6.9x − 7.7
2
D. 8.6x − 6.9x + 7.7
E. I don’t know.
1
Name: ______________________
ID: A
Simplify the product using the distributive property. (A.APR.1)
____
5. (3h − 7)(3h − 6)
2
A. 9h − 3h − 42
2
B. 9h − 39h + 42
2
C. 9h + 3h − 42
2
D. 9h + 39h + 42
E. I don’t know.
What are the coordinates of the vertex of the graph or table? Is it a maximum or minimum?
(F.IF.4)
____
6.
A. (–2, –4); maximum
B. (–4, –2); maximum
C. (–4, –2); minimum
D. (–2, –4); minimum
E. I don’t know.
2
Name: ______________________
____
ID: A
7.
X
0
–1
–2
–3
–4
Y
1
–2
–3
–2
1
A. (–2, –3); maximum
B. (–4, 1); minimum
C. (–2, –3); minimum
D. (1, 0); maximum
E. I don’t know.
3
Name: ______________________
____
ID: A
2
8. What are the solutions of the equation 2x = 2? Use a graph of the related function.(F.IF.4)
A.
C.
There are no real number solutions.
B.
There are two solutions: –1 and 1.
D.
I don’t know.
There are two solutions: –1 and 1.
4
Name: ______________________
ID: A
Graph the function and identify the domain and range. (F.IF.5)
____
9. y = 0.5x2
A.
C.
domain: ÊÁË −∞, ∞ ˆ˜¯
È
range: ÍÍÎ 0, ∞ ˜ˆ¯
domain: ÊÁË −∞, ∞ ˆ˜¯
˘
range: ÊÁË −∞, 0 ˙˙˚
B.
D.
I don’t know.
domain: ÊÁË −∞, ∞ ˆ˜¯
È
range: ÍÍÎ 0, ∞ ˜ˆ¯
5
Name: ______________________
ID: A
What is the graph of the function? (F.IF.7a)
ÔÏÔ 1
ÔÔ x,
Ô
____ 10. f(x) = ÔÔÌ 3
ÔÔ
ÔÔ 2
ÔÓ x + 2,
A.
B.
for x > 0
for x ≤ 0
C.
D.
I don’t know.
Factor the quadratic equation in order to determine the zeros of the function. (F.IF.8,
A.SSE.3a)
2
____ 11. x − 9x + 18 = 0
A. 3, 6
B. –3, –6
C. 3, –6
D. –3, 6
E. I don’t know.
6
Name: ______________________
ID: A
____ 12. Do the equation and graph below share a vertex? If so, what is it? (F.IF.9)
2
f(x) = x − 6x + 4
1
1
A. yes, ( , −1 )
2
2
B. yes, (1, –1)
C. yes, (3, –5)
D. no
E. I don’t know.
Write the explicit formula for the geometric sequence. Then find the fifth term in the
sequence. (F.BF.1a, A.CED.1)
____ 13. a 1 = −4, a 2 = 8, a 3 = −16
A. a n = −4 ⋅ (−2) n − 1 ; –64
D. a n = −4 ⋅ (2) n ; –64
B. a n = −4 ⋅ (−2) n ; 128
E. I don’t know.
C. a n = −2 ⋅ (−4) n − 1 ; –512
7
Name: ______________________
ID: A
2
Graph each function. How is each graph a translation of f(x) = x ?
(F.BF.3)
2
____ 14. y = (x + 3) + 4
A.
C.
f(x) translated down 4 unit(s) and
translated to the left 3 unit(s)
B.
f(x) translated down 4 unit(s) and
translated to the right 3 unit(s)
D.
I don’t know.
f(x) translated up 4 unit(s) and
translated to the left 3 unit(s).
8
Name: ______________________
____ 15. Find the inverse of f(x) = 5x − 3. (F.BF.4)
−1
x−3
A. f ( x) =
−5
−1
x+3
B. f ( x) =
5
−1
x+3
C. f ( x) =
−5
ID: A
−1
D. f ( x) = −5x + 3
E. I don’t know.
Find the vertex of each parabola by completing the square. (A.SSE.3b)
2
____ 16. x − 6x + 8 = y
A. (–3,– 6)
B. (–3,1)
C. (–1, 3)
D. (3,–1)
E. I don’t know.
Solve the equation using square roots. (A.REI.4b)
____ 17. 2x
A.
B.
C.
2
− 98 = 0
–49, 49
− 7, 7
–7, 7
D. no real number solutions
E. I don’t know.
Solve the equation by completing the square. Round to the nearest hundredth if necessary.
(A.REI.4b)
2
____ 18. x + 8x = −15
A. 5, –3
B. –5, 3
C. 5, 3
D. –5, –3
E. I don’t know.
____ 19. Find the solutions of the equation. (N.CN.7)
1 2
x −x+5 = 0
2
A. 1 ±
9i
B. −1 ±
9i
C. 1 ±
11 i
D. −1 ±
11 i
E. I don’t know.
9
Name: ______________________
ID: A
What are the solutions of the system? Solve by graphing. (A.REI.7)
2
____ 20. y = x − 3x + 3
y = 2x − 3
A.
The solutions of the system are (2, 1)
and (3, 3).
B.
C.
3 3
The solution of the system is ( , ).
2 4
D. I don’t know.
The system has no solution.
10
Name: ______________________
____ 21. The dashed-lined figure is a dilation image of
ID: A
ABC with center of dilation P (not shown). Is D (n, P) an
enlargement, or a reduction? What is the scale factor n of the dilation? (G.SRT.1)
A. reduction;
n=2
B. reduction;
1
n=
4
C. enlargement;
n=2
D.
reduction;
1
n=
2
E. I don’t know.
____ 22. Suppose S and T are mutually exclusive events, P(S) = 20%, and P(T) = 22%. Find P(S or T).
A. 440%
D. 2%
B. 42%
E. I don’t know.
C. 4.4%
11
Name: ______________________
ID: A
____ 23. On St. Patrick’s Day, you took note of who was coming into your restaurant wearing green. The
two-way frequency table shows the results of your survey. What is the probability that a randomly
chosen customer will be a female wearing green? Round to the nearest thousandth.
Wearing Green
Yes
No
Totals
Male
Female
Totals
36
44
80
83
68
151
119
112
231
A. 0.393
B. 0.190
C. 0.370
D. 0.294
E. I don’t know.
____ 24. In a survey of a town, 56% of residents own a car, 21% of residents own a truck, and 4% of residents own
both a car and a truck. What is the conditional probability that a person who owns a car also owns a
truck? Round to the nearest whole number.
A. 44%
D. 7%
B. 17%
E. I don’t know.
C. 19%
12
Name: ______________________
ID: A
____ 25. Which is a correct two-column proof?
Given: r Ä s
Prove: ∠b and ∠h are supplementary.
A.
B.
C.
State me nts
R e asons
1.
r Ä s
1.
Given
2.
∠b ≅ ∠c
2.
Vertical Angles
3.
∠d and ∠h are supplementary.
3.
Alternate Interior Angles
4.
∠e ≅ ∠h
4.
Vertical Angles
5.
∠b and ∠h are supplementary.
5.
Same-Side Interior Angles
State me nts
R e asons
1.
r Ä s
1.
Given
2.
∠b ≅ ∠c
2.
Vertical Angles
3.
∠c and ∠e are supplementary.
3.
Same-Side Interior Angles
4.
∠e ≅ ∠h
4.
Vertical Angles
5.
∠b and ∠h are supplementary.
5.
Substitution
State me nts
R e asons
1.
r Ä s
1.
Given
2.
∠b ≅ ∠h
2.
Corresponding Angles
3.
∠c and ∠e are supplementary.
3.
Same-Side Exterior Angles
4.
∠e ≅ ∠h
4.
Vertical Angles
5.
∠c and ∠h are supplementary.
5.
Substitution
D. I don’t know.
13
Name: ______________________
ID: A
____ 26. What is the missing reason in the proof?
Given: ABCD with diagonal BD
Prove: ABD ≅ CDB
Statements
1. AD Ä BC
2. ∠ADB ≅ ∠CBD
3. AB Ä CD
4. ∠ABD ≅ ∠CDB
5. DB ≅ DB
6. ΔABD ≅ ΔCDB
A. Alternate Interior Angles Theorem
B. ASA
C. Reflexive Property of Congruence
Reasons
1. Definition of parallelogram
2. Alternate Interior Angles Theorem
3. Definition of parallelogram
4. Alternate Interior Angles Theorem
5. ?
6. ASA
D. Definition of parallelogram
E. I don’t know.
14
Statement
Justification
1
ΔABCisisosceles;
BDisanangle
bisector
Given
2
AB=BC
Definitionof
isosceles
3
<ABD≅ <CBD
_____________
4
BD=BD
Reflexive
Property
5
ΔABD≅ΔCBD
_____________
6
<BAD≅ <BCD
CPCTC
27.Whattwophrasesfillintheblanks?G.CO.10
A.Substitution;
SAS
B.Definitionofbisector;SAS
C.Substitution;
SSA
D.Definitionofbisector;SSA
E.Idon’tknow
28.Whatpropertycouldbeusedtostatethatthesetrianglesaresimilar?G.SRT.3
A.ASA
B.SAS
C.AA
D.SSS
E.Idon’tknow
29.Whattheoremisprovedhere?G.SRT.5
Statement
Justification
1
ΔABCisaright
triangle,BDis
perpendicularto
AC
Given
2
<BAD≅<BAD,
ReflexiveProperty
<BCD≅<BCD
3
ΔABC≅ΔADB,
ΔABC≅ΔBDC
AAProperty
4
AB/AC=AD/AB,
AC/BC=BC/DC
DefinitionofSimilar
Triangles
5
6
7
8
A.
B.
C.
D.
E.
AB2=AC*AD,
BC2=AC*DC
AB2+BC2=
AC*AD+AC*DC
AB2+BC2=
AC(AD+DC)
AB2+BC2=AC2
CrossMultiplication
AdditionProperty
Distributive
Property
Substitution
Property
TheHingeTheorem
TheTrigonometricTheorem
TheTriangleSimilarityTheorem
ThePythagoreanTheorem
Idon’tknow
30.WhatdoweknowabouttrianglesABCandDBE?G.SRT.4
A. They’resimilartriangles
B. They’recongruenttriangles
C. Theyhaveascalefactoroftwo
D. Theyhavenorelationship
E. Idon’tknow
31.WhatisthesidelengthofACgiventhatAB=12andBC=16(AssumeABCisa
righttriangle)?G.SRT.8
A.
B.
C.
D.
E.
5
20
25
22
Idon’tknow
32.Usingthesametriangle,ifangleAis32degrees,whatisthemeasureofangleC?
G.SRT.7
A. 148
B. 32
C. 58
D. 68
E. Idon’tknow