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Honors Alg 2: Factoring Review 1.4,1.5, and 1.6

Total questions: 261

Worksheet time: 22hrs 45mins

Name
Class
Date
1.

1.5.1

Factor: x22x8x^2-2x-8

(a)  

2.

1.5.2

Factor: x2+4x21x^2+4x-21

(a)  

3.

1.5.3

Factor: x2+2x15x^2+2x-15

(a)  

4.

1.5.4

Factor: x2+6x7x^2+6x-7

(a)  

5.

1.5.5

Factor: x2+14x+24x^2+14x+24

(a)  

6.

1.5.6

Factor: x25x36x^2-5x-36

(a)  

7.

1.5.7

Factor: 2x2x12x^2-x-1

(a)  

8.

1.5.8

Factor: 6x2+x26x^2+x-2

(a)  

9.

1.5.9

Factor: 8x22x38x^2-2x-3

(a)  

10.

1.5.10

Factor: 15x220x1015x^2-20x-10 Use the ^ key to signify an exponent

(a)  

11.

1.5.11

Factor: 12x211x512x^2-11x-5

a)
(6x - 1)(2x + 5)
b)
(2x + 5)(6x - 1)
c)
(4x + 5)(3x - 1)
d)
(3x + 1)(4x - 5)
e)
(12x + 1)(x - 5)
12.

1.5.12

Factor: 28x235x6328x^2-35x-63

(a)  

13.

1.5.13

Factor: 6x2+72x+2106x^2+72x+210

a)
6(x + 5)(x + 7)
b)
6(x + 1)(x + 35)
c)
6(x + 3)(x + 12)
d)
2(x + 6)(x + 5)
e)
3(x + 10)(x + 7)
14.

1.5.14

Factor: 32x276x+2432x^2-76x+24

(a)  

15.

1.5.15

Factor: 56x253x+1256x^2-53x+12

(a)  

16.

1.5.16

Factor: 60x2+22x1460x^2+22x-14

a)
2(3x + 1)(10x - 7)
b)
4(15x^2 - 2x + 1)
c)
2(3x - 1)(10x + 7)
d)
5(12x^2 + 4x - 2)
e)
3(20x^2 + 7x - 4)
17.

1.5.E1

Factor

3x213xy+4y23x^2-13xy+4y^2



(a)  

18.

1.5.E2

Factor

4m2+11mn+3n2-4m^2+11mn+3n^2



(a)  

19.

1.5.E3

Factor

80p2+42pq5q280p^2+42pq-5q^2



(a)  

20.

1.5.E4

Factor

2r211rs+5s22r^2-11rs+5s^2



(a)  

21.

1.5.E5

Factor

14d27dw147w214d^2-7dw-147w^2



(a)  

22.

1.5.17

Factor

3x25xy2y23x^2-5xy-2y^2



(a)  

23.

1.5.18

Factor

27x2+42xy+8y227x^2+42xy+8y^2



(a)  

24.

1.5.19

Factor

33x270xy48y233x^2-70xy-48y^2



(a)  

25.

1.5.20

Factor

117x219xy56y2117x^2-19xy-56y^2



(a)  

26.

1.5.21

Factor

14x27xy147y214x^2-7xy-147y^2



(a)  

27.

1.5.22

Factor

72x2+228xy84y272x^2+228xy-84y^2



(a)  

28.

1.5.23

Factor

24x2100xy+96y224x^2-100xy+96y^2



(a)  

29.

1.5.24

Factor

16n22nm+3m2-16n^2-2nm+3m^2



(a)  

30.

1.4.1

Factor: 2x-8

a)
4(x - 2)
b)
2(x - 4)
c)
2(x + 4)
d)
2(x - 2)
e)
2x - 8
31.

1.4.13

Factor x2+6x+9x^2+6x+9

a)
(x + 2)(x + 4)
b)
(x + 1)(x + 5)
c)

(x + 3)(x + 3)^2

d)

Prime

e)
(x + 3)^2
32.

1.4.31

Factor: 25x21625x^2-16

a)
(5x - 2)(5x + 2)
b)
(25x - 16)(1)
c)
(5x - 8)(5x + 8)
d)
(10x - 4)(2.5x + 4)
e)
(5x - 4)(5x + 4)
33.

1.4.1+

Zoe has a ribbon that is 4x - 16 meters long. She wants to cut it into equal parts. Factor: 4x-16

a)
8(x - 2)
b)
4(x - 2)
c)
4(x - 4)
d)
4(x + 4)
e)
2(x - 8)
34.

1.4.43

Factor x3125x^3-125

a)
(x - 5)(x^2 + 10x + 25)
b)

(x - 5)(x^2 - 5x + 25)

c)
(x + 5)(x^2 + 5x - 25)
d)
(x - 5)(x^2 + 5x + 25)
e)
(x + 5)(x^2 - 5x + 25)
35.

1.4.2

Factor 4x-32

a)
4(x + 8)
b)
8(x - 4)
c)
2(2x - 16)
d)
4(2x - 16)
e)
4(x - 8)
36.

1.4.3

Factor 5x2+45x5x^2+45x

a)
5x(9 + x)
b)
5(x^2 + 9x)
c)
5x(x + 9)
d)
5(x + 9x)
e)
x(5x + 45)
37.

1.4.4

Factor 6x3+3x26x^3+3x^2

a)
3x(2x^2 + 1)
b)
2x(3x^2 + 1)
c)
6x^2(1 + 0.5x)
d)
x^2(6x + 3)
e)
3x^2(2x + 1)
38.

1.4.5

Factor 4xyx4xy-x

a)
x(4y + 1)
b)
2(2xy - x)
c)
4y(x - 1)
d)
x(2y + 2)
e)
x(4y - 1)
39.

1.4.6

Factor 14x57x314x^5-7x^3

a)
7x^3(2x^2 + 2)
b)
x^3(14x^2 - 7)
c)
14x^5(1 - 0.5x^2)
d)
7x^3(2x^2 + 1)
e)
7x^3(2x^2 - 1)
40.

1.4.7

Factor 35x4y6+7x2y3xy35x^4y^6+7x^2y^3-xy

a)
xy(35x^3y^5 - 7xy^2 - 1)
b)
xy(35x^3y^5 + 7xy^2 - 1)
c)
xy(35x^3y^5 + 14xy^2 - 1)
d)
xy(35x^3y^5 + 7xy^2 + 1)
e)
xy(5x^3y^5 + 7xy^2 - 1)
41.

1.4.8

Factor 15x24y12+45x6y610x2y315x^{24}y^{12}+45x^6y^6-10x^2y^3

a)

5x^2y^3(3x^{22}y^9 + 9^4y^3 - 2)

b)

5y^2x^3(3x^{22}y^9 + 9x^4y^3 - 2)

c)
5x^2y^3(3x^{22}y^9 - 9x^4y^3 - 2)
d)

10x^2y^3(3y^{22}x^9 + 9x^4y^3 - 2)

e)
5x^2y^3(3x^{22}y^9 + 9x^4y^3 - 2)
42.

1.4.41

Factor (3g2)216k2\left(3g-2\right)^2-16k^2

a)
(3g - 4 - 4k)(3g + 4 + 4k)
b)
(3g + 2 - 4k)(3g + 2 + 4k)
c)
(3g - 2 - 4k)(3g - 2 + 4k)
d)
(3g - 2 - 2k)(3g - 2 + 2k)
e)
(3g - 2 - 8k)(3g - 2 + 8k)
43.

1.4.42

Factor 4(5w11)225(w+3)24\left(5w-11\right)^2-25\left(w+3\right)^2

a)
(5w - 11)(15w + 7)
b)
(5w + 37)(15w - 7)
c)
(5w - 37)(15w - 7)
d)
(5w - 3)(15w + 11)
e)
(5w + 11)(15w - 37)
44.

1.4.43

Factor x3125x^3-125

a)
(x - 5)(x^2 + 10x + 25)
b)

(x - 5)(x^2 - 5x + 25)

c)
(x + 5)(x^2 + 5x - 25)
d)
(x - 5)(x^2 + 5x + 25)
e)
(x + 5)(x^2 - 5x + 25)
45.

1.4.45

Factor w5+1w^5+1

a)
(w - 1)(w^4 + w^3 + w^2 + w + 1)
b)
(w + 1)(w^4 - w^3 + w^2 - w + 1)
c)
(w^5 - 1)(w + 1)
d)
(w^2 + 1)(w^3 - w + 1)
e)
(w + 1)(w^3 + w^2 + w + 1)
46.

1.4.58

Factor: c101024m10c^{10}-1024m^{10} and select its factors

a)

(c+2m)(c2m)\left(c+2m\right)\left(c-2m\right)

b)

(c42mc3+4m2c28m3c+16m4)\left(c^4-2mc^3+4m^2c^2-8m^3c+16m^4\right)

c)

(c4+2mc3+4m2c2+8m3c+16m4)\left(c^4+2mc^3+4m^2c^2+8m^3c+16m^4\right)

d)

(c42mc3+4m2c28c3c+16m4)\left(c^4-2mc^3+4m^2c^2-8c^3c+16m^4\right)

e)

(c42mc3+4m2c28m3c16m4)\left(c^4-2mc^3+4m^2c^2-8m^3c-16m^4\right)

47.

1.4.56

Factor: a14b14a^{14}-b^{14} and select its factors

a)

(a+b)(ab)\left(a+b\right)\left(a-b\right)

b)

(a6a5b+a4b2a3b3+a2b4ab5+b6)\left(a^6-a^5b+a^4b^2-a^3b^3+a^2b^4-ab^5+b^6\right)

c)

(a6+a5b+a4b2+a3b3+a2b4+ab5+b6)\left(a^6+a^5b+a^4b^2+a^3b^3+a^2b^4+ab^5+b^6\right)

d)

(a6a5b+a4b2a3b3a2b4ab5+b6)\left(a^6-a^5b+a^4b^2-a^3b^3-a^2b^4-ab^5+b^6\right)

e)

(a6a5b+a4b2a3b3+b2a4ab5+b6)\left(a^6-a^5b+a^4b^2-a^3b^3+b^2a^4-ab^5+b^6\right)

48.

1.4.62

Factor: x481x^4-81 and select its factors

a)

(x2+9)(x+3)(x3)\left(x^2+9\right)\left(x+3\right)\left(x-3\right)

b)

Prime: Wherever "n" is a power of 2 (2,4,6,8,16, etc.) for two terms being added together, the binomial cannot be factored

c)

Prime: Wherever "n" is a multiple of 2 (2,4,6,8,10,12, etc.) for two terms being added together, the binomial cannot be factored

d)

(x2+32)(x32)\left(x^2+3^2\right)\left(x-3^2\right)

e)

(x2+9)(x+9)(x9)\left(x^2+9\right)\left(x+9\right)\left(x-9\right)

49.

1.4.59

Factor: a8+d8a^8+d^8 and select its factors

a)

(a+d)(a7a6d+a5d2a4d3+a3d4a2d5+ad6d7)\left(a+d\right)\left(a^7-a^6d+a^5d^2-a^4d^3+a^3d^4-a^2d^5+ad^6-d^7\right)

b)

Prime: Wherever "n" is a power of 2 (2,4,8,etc.) for two terms being added together, the binomial cannot be factored

c)

Prime: Wherever "n" is a multiple of 2 (2,4,6,8,10,12, etc.) for two terms being added together, the binomial cannot be factored

d)

(a+d)(ad)(a7a6d+a5d2a4d3+a3d4a2d5+ad6d7)\left(a+d\right)\left(a-d\right)\left(a^7-a^6d+a^5d^2-a^4d^3+a^3d^4-a^2d^5+ad^6-d^7\right)

e)

Prime: Wherever "n" is a power of 4,(4,16,64 etc.) for two terms being added together, the binomial cannot be factored

50.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
51.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
52.
Simplify:  (5p9q3)(2pq7)
a)
7p10q10
b)
10p9q21
c)
10p10q10
d)
10p8q-4
53.

Simplify: 7p0

a)

7

b)

1

c)

simplified

d)

7p

54.

The associative property means...

a)

You can group the numbers however you want.

b)

You can change a multiplication sign to a division sign.

c)

You can leave one of the numbers off.

d)

You can't solve the problem.

55.

Simplify using the exponent properties 21d6r37d12r4\frac{21d^6r^3}{7d^{12}r^4}

a)

3d6r13d^{-6}r^{-1}

b)

3d18r73d^{18}r^7

c)

3d6r13d^6r^1

d)

13d6r1\frac{1}{3d^{-6}r^{-1}}

56.
a)
b)

2x2z4

c)

3x2y5z4

d)
57.
a)

27x15z3y6\frac{27x^{15}z^3}{y^6}

b)

9x15z3y6\frac{9x^{15}z^3}{y^6}

c)

27x8yz427x^8yz^4

d)

27x8z4y\frac{27x^8z^4}{y}

58.
a)

16x16z32y28\frac{16x^{16}z^{32}}{y^{28}}

b)

16x16z32y28\frac{-16x^{16}z^{32}}{y^{28}}

c)

x16z3216y28\frac{x^{16}z^{32}}{16y^{28}}

d)

8x8y3z12-8x^{-8}y^3z^{-12}

59.
(5x2y2)3
a)
125x6y6
b)
15x6y6
c)
8x5y5
d)
15x5y5
60.

x4 - 10x3 + 35x2 - 50x + 24 ÷ x2 - 3x + 2

a)

x2 - 7x + 12

b)

x3 + 3x2 + 4x - 1

c)

x2 - 1

d)

x2 + 7x - 12

61.

Divide

10x8y54x2y5\frac{10x^8y^5}{4x^2y^5}  

a)

6x6y6x^6y  

b)

5x62\frac{5x^6}{2}  

c)

5x6y2\frac{5x^6y}{2}  

d)

6x66x^6  

62.
Combine Like Terms:
4y + 3x3 + 2y + 8x3 - 6y
a)
11x3
b)
11x3 + 12y
c)
5x3
d)
11x6
63.

(x+4)(x6)(x5)\left(x+4\right)\left(x-6\right)\left(x-5\right)  

a)

x37x214x+120x^3-7x^2-14x+120  

b)

x47x314x2+120xx^4-7x^3-14x^2+120x  

c)

x3+7x2+14x+120-x^3+7x^2+14x+120  

d)

x37x214x120-x^3-7x^2-14x-120  

64.

The length of a rectangle is x - 5. The width is x + 1. What is the area?

a)

x2  4x  5x^2\ -\ 4x\ -\ 5

b)

2x  42x\ -\ 4

c)

x2 + 6x  5x^2\ +\ 6x\ -\ 5

d)

none of these

65.
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
66.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
67.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x+ 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
68.
What is the width of this rectangle?
a)
 5x4 + 10x3
b)
x + 15x3
c)
x + 3
d)
x4 + 3x3
69.
A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?
a)
4x - 3
b)
4x + 3
c)
2x + 6
d)
2x + 3
70.
a)

A

b)

B

c)

C

d)

D

71.
a)

A

b)

B

c)

C

d)

D

72.
a)

A

b)

B

c)

C

d)

D

73.
a)

A

b)

B

c)

C

d)

D

74.
Each week, Kailee pays for lunch for her friends. Write an expression that represents her total cost for the month.
a)
27x
b)
11x + 18
c)
11x + 16
d)
29x
75.
An airline charges $(20x + 4) for a ticket and $(4x) for a seat upgrade, and $(2x + 1) for premium movies on a flight. Which expression represents the total price you would pay for a seat with an upgrade, and premium movies?
a)
$31x
b)
$24x + 4x + 3x
c)
$24x + 7
d)
$26x + 5
76.
a)
8x2y3+7x4+5y
b)
8x6y7-7x5y8-7x4y5
c)
8x6y7-7x5y8-5x4y5
d)
8x2y3-7xy4-5y
77.

(4x4 - 3x3 - 4x2 - x + 3)/(4x - 3)

a)

x3 + x2 + x - 1

b)

x3 - x - 1

c)

x3 - 2x - 1

d)

x3 - x2 + x - 3

78.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
79.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
80.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
81.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
82.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
83.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
84.
x⁵⁄x³
a)
b)
x
c)
1
d)
x⁸
85.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
86.

Simplify

x⁻⁶

a)

1x6\frac{1}{x^6}

b)

x⁶

c)

-x⁶

d)

1x6\frac{-1}{x^6}

87.

x0 = x^0\ =\  

a)

1

b)

y

c)

x

d)

0

88.
Simplify:  (m9)2
a)
m11
b)
2m9
c)
m18
d)
m4.5
89.
Simplify:  x10⋅x4
a)
x40
b)
x14
c)
x6
d)
2x14
90.
Simplify:  (5p9q3)(2pq7)
a)
7p10q10
b)
10p9q21
c)
10p10q10
d)
10p8q-4
91.

Simplify: 7p0

a)

7

b)

1

c)

simplified

d)

7p

92.

5 × (2 × 9) is also equal to:

a)

5 x (2 - 9)

b)

5 x (2 + 9)

c)

(5 x 2) x 9

d)

(5 x 2) + 9

93.

The associative property means...

a)

You can group the numbers however you want.

b)

You can change a multiplication sign to a division sign.

c)

You can leave one of the numbers off.

d)

You can't solve the problem.

94.
True or False:
When a problem has parentheses, I should always do the numbers inside of the parentheses last.
a)
True
b)
False
95.

What is the missing number?


6 + ____ = 7 + 6

a)

4

b)

13

c)

7

d)

9

96.

5 + 9 = 14, so 9 + 5 =

a)

11

b)

14

c)

15

d)

16

97.

3 x ____ = 9 x 3

a)

7

b)

9

c)

27

d)

11

98.

What is the missing number?


8 + ____ = 2 + 8

a)

5

b)

10

c)

4

d)

2

99.

8 + 4 = 12, so 4+8 =

a)

12

b)

3

c)

4

d)

14

100.

What is the missing number?


4 x ____ = 6 x 4

a)

4

b)

6

c)

7

d)

24

101.
Name the Property
5(3+6) = (5*3) + (5*6)
a)
Distributive Property
b)
Commutative Property of Addition
c)
Commutative Property of Multiplication
d)
Addition Property of Zero
102.

Which shows the Identity Property of Multiplication?

a)

3 + 1 = 4

b)

1 x 9 = 9

c)

18 - 1 = 17

d)

11 x 4 = 44

103.

Simplify using the exponent properties 21d6r37d12r4\frac{21d^6r^3}{7d^{12}r^4}

a)

3d6r13d^{-6}r^{-1}

b)

3d18r73d^{18}r^7

c)

3d6r13d^6r^1

d)

13d6r1\frac{1}{3d^{-6}r^{-1}}

104.
a)
b)

2x2z4

c)

3x2y5z4

d)
105.
a)

27x15z3y6\frac{27x^{15}z^3}{y^6}

b)

9x15z3y6\frac{9x^{15}z^3}{y^6}

c)

27x8yz427x^8yz^4

d)

27x8z4y\frac{27x^8z^4}{y}

106.
a)

16x16z32y28\frac{16x^{16}z^{32}}{y^{28}}

b)

16x16z32y28\frac{-16x^{16}z^{32}}{y^{28}}

c)

x16z3216y28\frac{x^{16}z^{32}}{16y^{28}}

d)

8x8y3z12-8x^{-8}y^3z^{-12}

107.

Simplify so there are no negative exponents in the answer.

3x34x4x2\frac{3x^3\cdot4x^4}{x^2}  

a)

12x512x^5  

b)

12x912x^9  

c)

7x57x^5  

d)

7x47x^4  

108.

Simplify: 12x5y42x9y\frac{12x^5y^4}{2x^9y}  

a)

6x4y36x^{-4}y^3  

b)

6y3x4\frac{6y^3}{x^4}  

c)

12y32x4\frac{12y^3}{2x^4}  

d)

6x4y3\frac{6x^{-4}}{y^3}  

109.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
110.

Write using a single exponent: 103 x 105

a)

1015

b)

108

c)

102

d)

106

111.

Write using a single exponent: (104)5

a)

1020

b)

101

c)

109

d)

106

112.

Write using a single exponent: 3733\frac{3^7}{3^3}  

a)

3103^{10}  

b)

3213^{21}  

c)

343^4  

d)

363^6  

113.

10510^{-5}  

Write using a positive exponent:

a)

5050  

b)

10510^5  

c)

1105\frac{1}{10^5}  

d)

10910^9  

114.

Simplify the following expression:


(xyz)0 =

a)

0

b)

1

c)

xyz

d)

-1

115.

(48)2\left(\frac{4}{8}\right)^2  = ?

a)

816\frac{8}{16}  

b)

168\frac{16}{8}  

c)

1664\frac{16}{64}  

116.
Simplify   (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
117.
X⋅ X⋅ X⋅ X
a)
x9
b)
x24
c)
x10
d)
x25
118.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
119.

Simplify

a)

2x6

b)

2x

c)

2x5

d)

2x8

120.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
121.

Simplify:

9x6y25x2y39x^6y^2\cdot5x^2y^3  

a)

14x8y514x^8y^5  

b)

14x12y614x^{12}y^6  

c)

45x8y545x^8y^5  

d)

45x12y645x^{12}y^6  

122.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
123.
(5x2y2)3
a)
125x6y6
b)
15x6y6
c)
8x5y5
d)
15x5y5
124.
Simplify:  (m9)2
a)
m11
b)
2m9
c)
m18
d)
m4.5
125.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
126.

Rewrite using positive exponents

a)

24

b)

1/24

c)

42

d)

1/42

127.

The sum of 8 and 3

a)

8+38+3

b)

838\cdot3

c)

83\frac{8}{3}

d)

838-3

128.

1.5.B

Which is the definition of similar binomials?

a)

Binomials having corresponding like terms

b)

Binomials having two terms

c)

Binomials that both have squared terms

d)

Binomials that feature the same operation (addition or subtraction)

129.

1.5.B2

Which is the form of a quadratic trinomial?

a)

ax2+bx+cax^2+bx+c

b)

ax2+bx+c2ax^2+bx+c^2

c)

ax+bx+cax^{ }+bx+c^{ }

d)

a2x+bx+ca^2x^{ }+bx+c^{ }

130.

1.5.B3

Which is not a guideline for factoring quadratic trinomials?

a)

Factor out common factors

b)

Determine the factors of the quadratic term

c)

List the possible factor pairs of the constant term

d)

Write the quadratic in factored form

e)

All are guidelines for factoring quadratic trinomials

131.

1.5.B4

Which is not a guideline for factoring quadratic trinomials?

a)

Factor out common factors

b)

Determine the factors of the binomial term

c)

List the possible factor pairs of the constant term

d)

Write the quadratic in factored form

e)

All are guidelines for factoring quadratic trinomials

132.

1.5.B5

Which is not a guideline for factoring quadratic trinomials?

a)

Factor out two factors

b)

Determine the factors of the binomial term

c)

List the possible factor pairs of the constant term

d)

Write the quadratic in factored form

e)

All are guidelines for factoring quadratic trinomials

133.

1.5.B6

Which is not a guideline for factoring quadratic trinomials?

a)

Factor out two factors

b)

Determine the factors of the binomial term

c)

List the possible factor triples of the constant term

d)

Write the quadratic in factored form

e)

All are guidelines for factoring quadratic trinomials

134.

1.5.B7

Which is not a guideline for factoring quadratic trinomials?

a)

Factor out two factors

b)

Determine the factors of the binomial term

c)

List the possible factor triples of the constant term

d)

Write the quadratic binomials in factored form

e)

All are guidelines for factoring quadratic trinomials

135.

1.5.R2

75c3h9x715c2h8x2+35c4h6x55c2h4x2\frac{75c^3h^9x^7-15c^2h^8x^2+35c^4h^6x^5}{5c^2h^4x^2}

a)
10c h^2 x^4 - 2h + 5c^3h^5x^2
b)
20c h^4 x^6 - 4h^3 + 6c^2h^2x
c)

15c h^5 x^5 - 3h^4 + 7c^2h^2x^3

d)
25c h^5 x^3 - 5h + 8c^4h^3x^4
e)

25c h^6 x^2 - h^2 + 3c^3h^4x^5

136.

1.5.R3

Divide

12x3+14x2104x+14  by 3x712x^3+14x^2-104x+14\ \ by\ 3x-7

a)
4x^2 + 10x - 2
b)
4x^2 + 14x + 2
c)
4x^2 + 12x - 2
d)
4x^2 + 14x - 4
e)
4x^2 + 14x - 2
137.

1.4.B

Which of the following is not a rule for factoring binomials?

a)

Differences can always be factored when the exponents are odd

b)

Sums can be factored when the exponents are odd

c)

Sums cannot be factored when the exponent is a power of 2 (2,4,8,16,etc.)

d)

Sums cannot be factored when the exponent is a multiple of 2 (2,4,6,8,etc.)

e)

When an even exponent is not a power of 2, rewrite it as a sum of odd powers and factor

138.

1.4.B2

Which of the following is not a rule for factoring binomials?

a)

Differences can always be factored when the exponents are odd

b)

Sums can be factored when the exponents are even

c)

Sums cannot be factored when the exponent is a power of 2 (2,4,8,16,etc.)

d)

All are rules for factoring binomials

e)

When an even exponent is not a power of 2, rewrite it as a sum of odd powers and factor

139.

1.4.B3

Which of the following is not a rule for factoring binomials?

a)

Differences can always be factored when the exponents are odd

b)

Sums can be factored when the exponents are odd

c)

Sums cannot be factored when the exponent is a power of 2 (2,4,8,16,etc.)

d)

All are rules for factoring binomials

e)

When an even exponent is not a power of 2, rewrite it as a sum of odd powers and factor

140.

1.4.B4

Which of the following is not a rule for factoring binomials?

a)

Differences can always be factored when the exponents are odd

b)

Sums can be factored when the exponents are odd

c)

Sums cannot be factored when the exponent is a power of 3 (3,9,27,etc.)

d)

All are rules for factoring binomials

e)

When an even exponent is not a power of 2, rewrite it as a sum of odd powers and factor

141.

1.4.B5

The fundamental theorem of arithmetic states that...

a)

every composite number can be written uniquely as the product of prime factors

b)

every prime number can be written uniquely as the product of prime factors

c)

every composite number can be written uniquely as the product of composite factors

d)

every prime number can be written uniquely as the product of composite factors

e)

None of these is correct

142.

1.4.B6

The fundamental theorem of arithmetic states that...

a)

every composite number can be written uniquely as the difference of prime factors

b)

every prime number can be written uniquely as the product of prime factors

c)

every composite number can be written uniquely as the product of composite factors

d)

every prime number can be written uniquely as the product of composite factors

e)

None of these is correct

143.

1.4.R9b

Evaluate the expression when x=-3

9x2+12xx2+(x+5)39x^2+\frac{12x}{x^2}+\left(x+5\right)^3



(a)  

144.

1.4.R9b

Evaluate the expression when x=-3

9x2+12xx2+(x+5)39x^2+\frac{12x}{x^2}+\left(x+5\right)^3



(a)  

145.

1.6.1

Factor: x3+x2+2x+2x^3+x^2+2x+2

Enter response without spaces, and use "shift+6" for exponents)

(a)  

146.

1.6.2

Factor: n3+5n2+5n+25n^3+5n^2+5n+25

Enter response without spaces, and use "shift+6" for exponents)

(a)  

147.

1.6.3

Factor: a34a211a+44a^3-4a^2-11a+44

(Enter response without spaces, ensure each binomial begins with the term that has a variable (as applicable), and use "shift+6" for exponents)

(a)  

148.

1.6.4

Factor: x3+2x2121x+242-x^3+2x^2-121x+242

(Enter response without spaces, ensure each binomial begins with the term that has a variable (as applicable), and use "shift+6" for exponents)

(a)  

149.

1.6.5

Factor: 4+q3+4qq2-4+q^3+4q-q^2

(Enter response without spaces, ensure each binomial begins with the term that has a variable (as applicable), and use "shift+6" for exponents)

(a)  

150.

1.6.6

Factor: 3v2+v3+36+12v3v^2+v^3+36+12v

(Enter response without spaces, ensure each binomial begins with the term that has a variable (as applicable), and use "shift+6" for exponents)

(a)  

151.

1.6.7

Factor: 2ar214r2+4ar28r2ar^2-14r^2+4ar-28r

(Enter response without spaces, ensure each binomial begins with the term that has a variable (as applicable), and use "shift+6" for exponents)

(a)  

152.

1.6.8

Factor: 32b3c+24b2c+12bc9c-32b^3c+24b^2c+12bc-9c

a)

c(8b+3)(4b3)c\left(-8b+3\right)\left(4b-3\right)

b)

c(8b2+3)(4b+3)c\left(-8b^2+3\right)\left(4b+3\right)

c)

c(8b2+3)(4b3)c\left(-8b^2+3\right)\left(4b-3\right)

d)

c(8b2+3)(4b3)-c\left(-8b^2+3\right)\left(4b-3\right)

e)

c(8b2+3)(4b3)c\left(8b^2+3\right)\left(4b-3\right)

153.

1.6.9

Factor: 15a2c4ac8ab+30a2b15a^2c-4ac-8ab+30a^2b

(Enter response without spaces, ensure each binomial begins with the term that has a variable (as applicable), and use "shift+6" for exponents)

(a)  

154.

1.6.10

Factor: 56y+42x2y+32xy+24x3y56y+42x^2y+32xy+24x^3y

(Enter response without spaces, ensure each binomial begins with the term that has a variable (as applicable), and use "shift+6" for exponents)

(a)  

155.

1.6.1

Factor: x3+x2+2x+2x^3+x^2+2x+2

a)
(x + 2)(x^2 - 1)
b)
(x + 2)(x^2 + 1)
c)
(x - 1)(x^2 + 3)
d)
(x + 1)(x^2 - 2)
e)
(x + 1)(x^2 + 2)
156.

1.6.2

Factor: n3+5n2+5n+25n^3+5n^2+5n+25

a)
(n + 1)(n^2 + 25)
b)
(n + 2)(n^2 + 12)
c)
(n + 5)(n^2 + 1)
d)
(n + 5)(n^2 + 5)
e)
(n + 10)(n^2 - 5)
157.

1.6.3

Factor: a34a211a+44a^3-4a^2-11a+44

a)
(a + 4)(a^2 - 11)
b)
(a - 4)(a^2 + 11)
c)
(a - 4)(a^2 - 11)
d)
(a - 2)(a^2 + 22)
e)
(a + 4)(a^2 + 11)
158.

1.6.4

Factor: x3+2x2121x+242-x^3+2x^2-121x+242

a)
(x - 2)(x^2 - 121)
b)

(x + 1)(-x^2 + 121)

c)

(x - 2)(-x^2 + 121)

d)

(x - 2)(-x^2 - 121)

e)

(x - 11)(-x^2 + 22)

159.

1.6.5

Factor: 4+q3+4qq2-4+q^3+4q-q^2

a)
(q - 1)(q^2 - 4)
b)
(q + 1)(q^2 - 4)
c)
(q - 1)(q^2 + 4)
d)
(q - 2)(q^2 + 2)
e)
(q + 2)(q^2 - 2)
160.

1.6.6

Factor: 3v2+v3+36+12v3v^2+v^3+36+12v

a)
(v + 6)(v^2 + 6)
b)
(v + 4)(v^2 + 9)
c)
(v + 1)(v^2 + 36)
d)
(v + 2)(v^2 + 18)
e)
(v + 3)(v^2 + 12)
161.

1.6.7

Factor: 2ar214r2+4ar28r2ar^2-14r^2+4ar-28r

a)
(r - 2)(2r(a + 7))
b)
(r - 7)(2r(a + 2))
c)
(r + 4)(2r(a - 3))
d)
(r + 1)(2r(a - 5))
e)
(r + 2)(2r(a - 7))
162.

1.6.8

Factor: 32b3c+24b2c+12bc9c-32b^3c+24b^2c+12bc-9c

a)

c(8b+3)(4b3)c\left(-8b+3\right)\left(4b-3\right)

b)

c(8b2+3)(4b+3)c\left(-8b^2+3\right)\left(4b+3\right)

c)

c(8b2+3)(4b3)c\left(-8b^2+3\right)\left(4b-3\right)

d)

c(8b2+3)(4b3)-c\left(-8b^2+3\right)\left(4b-3\right)

e)

c(8b2+3)(4b3)c\left(8b^2+3\right)\left(4b-3\right)

163.

1.6.9

Factor: 15a2c4ac8ab+30a2b15a^2c-4ac-8ab+30a^2b

a)

a(2b+c)(15a4)a\left(2b+c\right)\left(15a-4\right)

b)

a(2bc)(15a4)a\left(2b-c\right)\left(15a-4\right)

c)

a(2b+c)(15a4)-a\left(2b+c\right)\left(15a-4\right)

d)

a(2b+c)(15a+4)a\left(2b+c\right)\left(15a+4\right)

e)

a2(2b+c)(15a4)a^2\left(2b+c\right)\left(15a-4\right)

164.

1.6.10

Factor: 56y+42x2y+32xy+24x3y56y+42x^2y+32xy+24x^3y

a)

2y(3x24)(4x+7)2y\left(3x^2-4\right)\left(4x+7\right)

b)

2y(3x2+4)(4x7)2y\left(3x^2+4\right)\left(4x-7\right)

c)

2y(3x2+4)(4x+7)-2y\left(3x^2+4\right)\left(4x+7\right)

d)

2y(3x2+4)(4x+7)2y\left(3x^2+4\right)\left(4x+7\right)

e)

2y(3x24)(4x7)2y\left(3x^2-4\right)\left(4x-7\right)

165.

1.5.E1

Factor

3x213xy+4y23x^2-13xy+4y^2

a)
(3x - y)(x - 4y)
b)
(3x + 4y)(x - y)
c)
(3x - 2y)(x - 2y)
d)
(3x - 4y)(x + y)
e)
(3x + y)(x + 4y)
166.

1.5.E2

Factor

4m2+11mn+3n2-4m^2+11mn+3n^2

a)
(m + 3n)(-4m + n)
b)
(m - 3n)(-4m - n)
c)
(m - 3n)(4m + n)
d)
(m - n)(-4m + 3n)
e)
(m + n)(-4m - 3n)
167.

1.5.E3

Factor

80p2+42pq5q280p^2+42pq-5q^2

a)
(2p + 5q)(40p - q)
b)
(5p - q)(16p + 4q)
c)
(10p - q)(8p + 5q)
d)
(8p - 5q)(10p + q)
e)
(4p + q)(20p - 2q)
168.

1.5.E4

Factor

2r211rs+5s22r^2-11rs+5s^2

a)
(r - 2s)(r - 5s)
b)
(2r + s)(r + 5s)
c)
(r - s)(2r + 5s)
d)
(r - 5s)(2r - s)
e)
(r + 5s)(2r + s)
169.

1.5.E5

Factor

14d27dw147w214d^2-7dw-147w^2

a)
14(d + 3w)(d - 7w)
b)
7(2d - 3w)(d + 7w)
c)
7(2d - 7w)(d + 3w)
d)
7(2d + 7w)(d - 3w)
e)
14(d - 3w)(d + 7w)
170.

1.5.17

Factor

3x25xy2y23x^2-5xy-2y^2

a)
(3x + 2y)(x - y)
b)
(3x - y)(x + 2y)
c)
(3x - 2y)(x + y)
d)
(3x + y)(x - 2y)
e)
(3x + 5y)(x - y)
171.

1.5.18

Factor

27x2+42xy+8y227x^2+42xy+8y^2

a)
(3x + 2y)(9x + 4y)
b)
(27x + 8y)(x + 5y)
c)
(3x + 4y)(9x + 2y)
d)
(27x + 42y)(x + y)
e)
(9x + 4y)(3x + 2y)
172.

1.5.19

Factor

33x270xy48y233x^2-70xy-48y^2

a)
(3x - 11y)(11x + 4y)
b)
(3x - 28y)(11x + 2y)
c)

(11x+6y)(3x -8y)

d)
(33x + 48y)(x - 2y)
e)
(11x + 48y)(3x - 2y)
173.

1.5.20

Factor

117x219xy56y2117x^2-19xy-56y^2

a)
(39x - 2y)(3x + 28y)
b)
(9x - 7y)(13x + 8y)
c)

(13x + 8y)(9x+7y)

d)
(39x - 7y)(3x + 8y)
e)
(13x - 4y)(9x + 14y)
174.

1.5.21

Factor

14x27xy147y214x^2-7xy-147y^2

a)
14(x - 7y)(x + 3y)
b)
14(x + 7y)(x - 3y)
c)
7(2x - 7y)(x + 3y)
d)
7(2x + 7y)(x - 3y)
e)
7(2x - 3y)(2x + 7y)
175.

1.5.22

Factor

72x2+228xy84y272x^2+228xy-84y^2

a)
36(2x + 3y)(2x + 7y)
b)
12(2x + 7y)(3x - y)
c)
6(12x + 38y)(x + y)
d)
24(3x + 7y)(x - 2y)
e)
12(6x + 14y)(x - 3y)
176.

1.5.23

Factor

24x2100xy+96y224x^2-100xy+96y^2

a)
2(12x^2 - 50xy + 48y^2)
b)
4(2x + 3y)(3x + 8y)
c)
8(3x - 4y)(x - 2y)
d)
6(4x - 5y)(2x + 6y)
e)
4(2x - 3y)(3x - 8y)
177.

1.5.24

Factor

16n22nm+3m2-16n^2-2nm+3m^2

a)
(2n - m)(-8n + 3m)
b)
(16n + 2m)(-n + m)
c)

(-8n + 3m)(2n + m)

d)
(4n + m)(-4n + 3m)
e)
(8n - m)(-2n - 3m)
178.

1.5.1

Factor: x22x8x^2-2x-8

a)
(x - 4)(x + 2)
b)
(x + 8)(x - 1)
c)
(x - 8)(x + 1)
d)
(x + 4)(x - 2)
e)

(x +2)(x + 4)

179.

1.5.2

Factor: x2+4x21x^2+4x-21

a)
(x + 7)(x - 3)
b)
(x + 1)(x + 21)
c)
(x - 4)(x + 5)
d)
(x - 7)(x + 3)
e)

(x + 3)(x +7)

180.

1.5.3

Factor: x2+2x15x^2+2x-15

a)
(x + 6)(x - 2)
b)
(x + 5)(x - 3)
c)

(x + 3)(x +5)

d)
(x - 6)(x + 2)
e)
(x - 5)(x + 3)
181.

1.5.4

Factor: x2+6x7x^2+6x-7

a)
(x + 5)(x + 1)
b)
(x + 3)(x + 2)
c)
(x - 7)(x + 1)
d)

(x + 1)(x + 7)

e)
(x + 7)(x - 1)
182.

1.5.5

Factor: x2+14x+24x^2+14x+24

a)
(x + 12)(x + 2)
b)
(x + 16)(x - 2)
c)
(x + 14)(x + 1)
d)
(x + 6)(x + 8)
e)
(x + 10)(x + 4)
183.

1.5.6

Factor: x25x36x^2-5x-36

a)
(x - 8)(x + 5)
b)
(x - 12)(x + 3)
c)
(x - 9)(x + 4)
d)
(x - 4)(x + 9)
e)
(x - 6)(x + 6)
184.

1.5.7

Factor: 2x2x12x^2-x-1

a)
(2x + 1)(x + 1)
b)
(x + 1)(2x - 1)
c)
(2x - 1)(x + 1)
d)
(x - 1)(2x - 1)
e)
(2x + 1)(x - 1)
185.

1.5.8

Factor: 6x2+x26x^2+x-2

a)

(2x + 1)(3x + 2)

b)
(6x + 1)(x - 2)
c)
(2x - 1)(3x + 2)
d)
(3x - 2)(2x + 1)
e)
(x + 2)(6x - 1)
186.

1.5.9

Factor: 8x22x38x^2-2x-3

a)
(2x + 3)(4x - 1)
b)
(2x - 3)(4x + 1)
c)
(4x + 3)(2x - 1)
d)
(4x - 3)(2x + 1)
e)
(8x + 3)(x - 1)
187.

1.5.10

Factor: 15x220x1015x^2-20x-10

a)

(5(3x4x2)\left(5(3x-4x-2\right)

b)

(5(3x24x2)\left(5(3x^2-4x-2\right)

c)
5(3x + 1)(x - 2)
d)
15(x - 2)(x + 1)
e)

(3x - 2)(x + 1)

188.

1.5.11

Factor: 12x211x512x^2-11x-5

a)
(6x - 1)(2x + 5)
b)
(2x + 5)(6x - 1)
c)
(4x + 5)(3x - 1)
d)
(3x + 1)(4x - 5)
e)
(12x + 1)(x - 5)
189.

1.5.12

Factor: 28x235x6328x^2-35x-63

a)
7(4x - 9)(x + 1)
b)
7(2x - 3)(2x + 21)
c)
28(x - 3)(x + 1)
d)
14(2x - 3)(x + 3)
e)
7(4x + 9)(x - 1)
190.

1.5.13

Factor: 6x2+72x+2106x^2+72x+210

a)
6(x + 5)(x + 7)
b)
6(x + 1)(x + 35)
c)
6(x + 3)(x + 12)
d)
2(x + 6)(x + 5)
e)
3(x + 10)(x + 7)
191.

1.5.14

Factor: 32x276x+2432x^2-76x+24

a)
4(8x - 6)(x - 1)
b)
2(16x - 3)(x - 4)
c)
4(8x - 3)(x - 2)
d)
8(4x - 3)(x + 1)
e)
4(8x + 3)(x + 2)
192.

1.5.15

Factor: 56x253x+1256x^2-53x+12

a)
(2x - 3)(28x - 4)
b)
(4x - 1)(14x - 12)
c)
(8x - 2)(7x - 6)
d)
(56x - 12)(x - 1)
e)
(7x - 4)(8x - 3)
193.

1.5.16

Factor: 60x2+22x1460x^2+22x-14

a)
2(3x + 1)(10x - 7)
b)
4(15x^2 - 2x + 1)
c)
2(3x - 1)(10x + 7)
d)
5(12x^2 + 4x - 2)
e)
3(20x^2 + 7x - 4)
194.

1.5.1

Factor: x22x8x^2-2x-8

a)
(x - 4)(x + 2)
b)
(x + 8)(x - 1)
c)
(x - 8)(x + 1)
d)
(x + 4)(x - 2)
e)

(x +2)(x + 4)

195.

1.5.2

Factor: x2+4x21x^2+4x-21

a)
(x + 7)(x - 3)
b)
(x + 1)(x + 21)
c)
(x - 4)(x + 5)
d)
(x - 7)(x + 3)
e)

(x + 3)(x +7)

196.

1.5.3

Factor: x2+2x15x^2+2x-15

a)
(x + 6)(x - 2)
b)
(x + 5)(x - 3)
c)

(x + 3)(x +5)

d)
(x - 6)(x + 2)
e)
(x - 5)(x + 3)
197.

1.5.4

Factor: x2+6x7x^2+6x-7

a)
(x + 5)(x + 1)
b)
(x + 3)(x + 2)
c)
(x - 7)(x + 1)
d)

(x + 1)(x + 7)

e)
(x + 7)(x - 1)
198.

1.5.5

Factor: x2+14x+24x^2+14x+24

a)
(x + 12)(x + 2)
b)
(x + 16)(x - 2)
c)
(x + 14)(x + 1)
d)
(x + 6)(x + 8)
e)
(x + 10)(x + 4)
199.

1.5.6

Factor: x25x36x^2-5x-36

a)
(x - 8)(x + 5)
b)
(x - 12)(x + 3)
c)
(x - 9)(x + 4)
d)
(x - 4)(x + 9)
e)
(x - 6)(x + 6)
200.

1.5.7

Factor: 2x2x12x^2-x-1

a)
(2x + 1)(x + 1)
b)
(x + 1)(2x - 1)
c)
(2x - 1)(x + 1)
d)
(x - 1)(2x - 1)
e)
(2x + 1)(x - 1)
201.

1.5.8

Factor: 6x2+x26x^2+x-2

a)

(2x + 1)(3x + 2)

b)
(6x + 1)(x - 2)
c)
(2x - 1)(3x + 2)
d)
(3x - 2)(2x + 1)
e)
(x + 2)(6x - 1)
202.

1.5.9

Factor: 8x22x38x^2-2x-3

a)
(2x + 3)(4x - 1)
b)
(2x - 3)(4x + 1)
c)
(4x + 3)(2x - 1)
d)
(4x - 3)(2x + 1)
e)
(8x + 3)(x - 1)
203.

1.5.10

Factor: 15x220x1015x^2-20x-10

a)

(5(3x4x2)\left(5(3x-4x-2\right)

b)

(5(3x24x2)\left(5(3x^2-4x-2\right)

c)
5(3x + 1)(x - 2)
d)
15(x - 2)(x + 1)
e)

(3x - 2)(x + 1)

204.

1.5.11

Factor: 12x211x512x^2-11x-5

a)
(6x - 1)(2x + 5)
b)
(2x + 5)(6x - 1)
c)
(4x + 5)(3x - 1)
d)
(3x + 1)(4x - 5)
e)
(12x + 1)(x - 5)
205.

1.5.12

Factor: 28x235x6328x^2-35x-63

a)
7(4x - 9)(x + 1)
b)
7(2x - 3)(2x + 21)
c)
28(x - 3)(x + 1)
d)
14(2x - 3)(x + 3)
e)
7(4x + 9)(x - 1)
206.

1.5.13

Factor: 6x2+72x+2106x^2+72x+210

a)
6(x + 5)(x + 7)
b)
6(x + 1)(x + 35)
c)
6(x + 3)(x + 12)
d)
2(x + 6)(x + 5)
e)
3(x + 10)(x + 7)
207.

1.5.14

Factor: 32x276x+2432x^2-76x+24

a)
4(8x - 6)(x - 1)
b)
2(16x - 3)(x - 4)
c)
4(8x - 3)(x - 2)
d)
8(4x - 3)(x + 1)
e)
4(8x + 3)(x + 2)
208.

1.5.15

Factor: 56x253x+1256x^2-53x+12

a)
(2x - 3)(28x - 4)
b)
(4x - 1)(14x - 12)
c)
(8x - 2)(7x - 6)
d)
(56x - 12)(x - 1)
e)
(7x - 4)(8x - 3)
209.

1.5.16

Factor: 60x2+22x1460x^2+22x-14

a)
2(3x + 1)(10x - 7)
b)
4(15x^2 - 2x + 1)
c)
2(3x - 1)(10x + 7)
d)
5(12x^2 + 4x - 2)
e)
3(20x^2 + 7x - 4)
210.

1.1

Which answer matches the question?

a)

That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.

b)

God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.

c)

That we are not our own but belong, body and soul, both in life and death, to God.

d)

God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.

e)

That we are not our own but our souls, both in life and death, to God and to our Savior Jesus Christ.

211.

1.2

Which question matches the answer?

"That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ."

a)

What is our only hope in life and death?

b)

What is God?

c)

How many persons are there in God?

d)

How and why did God create us?

e)

What is our only certainty in life and death?

212.

1.3

What scripture is this catechism based on?

a)

Romans 14:7–8

b)

John 14:7–8

c)

Matthew 14:7–8

d)

Mark 14:7–8

e)

Luke 14:7–8

213.

Who are the 2 main characters?

a)

Loralai and Rory

b)

Luke and Loralai

c)

Rory and Logan

d)

Babette and Ms.Patty

214.

Who was Rory´s first boyfriend?

a)

Dean

b)

Logan

c)

Jess

d)

Tristan

215.

Who is Rory´s bff?

a)

Lane

b)

Loralai

c)

Suki

d)

Paris

216.

Who is Loralai´s bff?

a)

Suki

b)

Lane

c)

Luke

d)

Rory

217.

Who Proposes to Rory?

a)

Logan

b)

Dean

c)

Jess

d)

Tristan

218.

Where does Rory go to college?

a)

Yale

b)

Harvard

c)

Princeton

d)

Randolph Macon

219.

What is the name of Babette's cat that dies?

a)

Kitty

b)

Sugar

c)

Cinnamon

d)

Coco

220.

Where does Rory and Loralai live?

a)

Stars Hallow

b)

Hallow Stars

c)

Heart Hallow

d)

Circle Hallow

221.

Who is Rory´s dad?

a)

Christopher

b)

Luke

c)

Richard

d)

Logan

222.

Who is Lukes nephew?

a)

Jess

b)

Dean

c)

Logan

d)

Tristan

223.

Where did Rory originally want to go to college?

a)

Yale

b)

Harvard

c)

Princeton

d)

Chilton

224.

Who is this?

a)

Luke

b)

Dean

c)

Jason "Digger"

d)

Christopher

225.

Who is this?

a)

Kirk

b)

Logan

c)

Lulu

d)

jess

226.

who is this?

a)

Dean

b)

Jess

c)

Logan

d)

Tristan

227.

Who is this?

a)

Mrs. patty

b)

Loralai

c)

Paris

d)

Rory

228.

Who is this?

a)

Rory

b)

Loralai

c)

Anna

d)

April

229.

Who is this?

a)

Loralai

b)

Rory

c)

Richard

d)

Emily

230.

Who is this?

a)

Lane

b)

Rory

c)

April

d)

Paris

231.

Who is this?

a)

Michelle

b)

Luke

c)

Kirk

d)

Ross

232.

Who are Rory´s grandparents?

a)

Richard and Emily Gilmore

b)

Loralai Gilmore and Christopher Hayden

c)

Straub and Francine Hayden

d)

Mitchum and Shira Huntzberger

233.

Who is this character?

a)

Piccolo

b)

King Piccolo

c)

Master Roshi

d)

Mr. Popo

234.

Who is this character?

a)

Master Roshi

b)

King Piccolo

c)

King kai

d)

Gohan

235.

Who is this character?

a)

Bubbles

b)

Little Kai

c)

Vegeta

d)

Sprinkles

236.

Who is this character?

a)

Krillin

b)

Majin Buu

c)

Goku

d)

Raditz

237.

Who is this character?

a)

Yamcha

b)

Tienshinhan

c)

Gohan

d)

Nappa

238.

Who is this character?

a)

Raditz

b)

Deoxys

c)

Son Gotan

d)

Vegeta

239.

Who is this character?

a)

Krillin

b)

Korren

c)

Majin buu

d)

Trunks

240.

Who is this character?

a)

Tienzinhan

b)

Krillin

c)

King kai

d)

Tienshinhan

241.

Who is this character

a)

Mr. Dodo

b)

Krillin

c)

Mr. Popo

d)

Yamcha

242.

Who is this character

a)

Frieza

b)

Beerus

c)

Chi chi

d)

Bubbles

243.

Who is this character

a)

Gohan

b)

Gotenks

c)

Goten

d)

Goku

244.

Who is this character

a)

King picolo

b)

Demon king

c)

Old Piccolo

d)

King Piccolo

245.

Who is this character?

a)

Bulma

b)

Sarah

c)

Chi chi

d)

Bubbles

246.

Who is this character?

a)

Beerus

b)

Majin buu

c)

Piccolo

d)

Frieza

247.

Who is this character?

a)

Piccolo

b)

Napa

c)

Nappa

d)

Master Roshi

248.

Who is this character?

a)

Goku

b)

Goki

c)

Vegeta

d)

Goten

249.

Who is this character?

a)

Bubbles

b)

Chichi

c)

Bulma

d)

Yamcha

250.

Who is this character?

a)

Gohan

b)

Vegeta

c)

Raditz

d)

Nappa

251.

Who is this character?

a)

Picolo

b)

Tienshinhan

c)

Piccollo

d)

Piccolo

252.

Who is this character?

a)

Gohan

b)

Gotin

c)

Goten

d)

Gotenks

253.

Who is this character?

a)

Trunks

b)

Branches

c)

Yohan

d)

Bulma

254.

Who is this character?

a)

Bulma

b)

Android 19

c)

Android 18

d)

Chi chi

255.

Which scholar is represented by the vehicle shown and based on the following characteristics:

Overall vehicle description:

Every day deserves more fun

Making daily journeys extraordinary.

Transform routine drives into thrilling escapes.

Features:

Up to 51 Combined Est. MPG

a)

Maia

b)

Callie

c)

Izzy

d)

Kiley

e)

Willow

256.

Which scholar is represented by the vehicle shown and based on the following characteristics:

Overall vehicle description: Calm. Confident. Refined. 3 rows of seating. Plenty of headroom and space. And an engine that has uncompromised power when you want it.

Interior cabin description: Commanding, but also calm and elegant on the inside. Sound-dampening technology, Enhanced active noise control, acoustic laminated door glass, and other subtle technologies mitigate noise, vibration and the outside world.

a)

Maia

b)

Callie

c)

Izzy

d)

Kiley

e)

Willow

257.

Which scholar is represented by the vehicle shown and based on the following characteristics:

Overall vehicle description:

Built for those who dream of unbound adventure

Highly customizable

Adaptable

Everyone knows what it is, the OG off-roader, wild-and-crazy V-8 model lives to see another year.

a)

Maia

b)

Callie

c)

Izzy

d)

Kiley

e)

Willow

258.

Which scholar is represented by the vehicle shown and based on the following characteristics:

Overall vehicle description:

  • Impressive power and efficiency

  • Elegant cabin with excellent legroom

  • Advanced safety technology

Volvo's S90 Plug-In Hybrid blends a surprising 455 hp with refined comfort and advanced safety tech.

While it prioritizes comfort over razor-sharp handling, its powerful motor and long driving range make it a compelling option for eco-conscious luxury seekers who value effortless highway cruising.

a)

Maia

b)

Callie

c)

Izzy

d)

Kiley

e)

Willow

259.

Which scholar is represented by the vehicle shown and based on the following characteristics:

Overall vehicle description:

Adult-friendly third row, acres of cargo space, family-friendly interior amenities.

  • Plenty of cabin space

  • Choice of drivetrains

  • A lot of standard equipment

  • 1500-Watt Power Outlets

  • When you drive a Grand Highlander Hybrid, you can count on your vehicle being able to navigate through traffic or any other terrain just like any other Grand Highlander would. Plus, our batteries never have to be plugged in, and are covered by a warranty (covering 10 years or 150,000 miles) you can depend on.

a)

Maia

b)

Callie

c)

Izzy

d)

Kiley

e)

Willow

260.

Which scholar is represented by the vehicle shown and based on the following characteristics:

Overall vehicle description:

Enhanced tech, fresh styling, and a twin-turbo inline-six

Superior ride quality, available with a smooth and powerful twin-turbo inline-six, upper trims offer luxury-car cabins.

The 2025 Ram 1500 is a truck that exists at the intersection of elbow grease and indulgence.

0-60 in 4.7 seconds

The maximum towing capacity for the 2025 Ram 1500 is 11,580 pounds.

5- or 6-passenger, 4-door pickup (Room for the homies and their gear)

a)

Landon

b)

Callie

c)

Izzy

d)

Kiley

e)

William

261.

Which scholar is represented by the vehicle shown and based on the following characteristics:

Overall vehicle description:

Next-generation transportation system designed to get cargo and people to the moon, Mars, and beyond

World's most powerful launch vehicle ever created

Intended to be fully reuseable

Able to refuel in space

Potential to advance society

a)

Landon

b)

Willow

c)

Izzy

d)

Kiley

e)

William