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Worksheetssummer school final
Total questions: 179
Worksheet time: 8hrs 41mins
Name
Class
Date
1.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
2.
Rewrite the expression as a power.
(24)(25)
(24)(25)
a)
220
b)
49
c)
420
d)
29
3.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
4.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
-9x7
d)
3x7
5.
Simplify the expression.
(m4 )2m-3
(m4 )2m-3
a)
m
b)
2m
c)
2m-1
d)
m/2m3
6.
Simplify 3x3y * 2x8y5
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
3x112y5
7.
Simplify (c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
8.
Simplify (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
9.
Simplify - (-5m4 * 5m2)0
a)
25m6
b)
-25m6
c)
-1
d)
1
10.
Simplify the expression
1251/3
1251/3
a)
125
b)
5
c)
25
d)
-5
11.
Simplify the expression
43/2
43/2
a)
16
b)
4
c)
2
d)
8
12.
Simplify the expression.
(2a1/3 * 3b1/2)(a1/3 * 3b3/4)
(2a1/3 * 3b1/2)(a1/3 * 3b3/4)
a)
18a1/3b5/4
b)
6a2/3b
c)
18a2/3b5/4
d)
2a1/33b5/4
13.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
14.
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
15.
(2ab)3
a)
8a3b3
b)
2ab3
c)
6a3b3
d)
6ab
16.
(3c)4
a)
81c4
b)
34c4
c)
81c
d)
12c4
17.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
18.
The Product Property of Exponents states when the base is the same you do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
19.
The Power of a Power Property of Exponents states when the base is the same you do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
20.
5a3b5⋅3a2b2
a)
8a5b3
b)
15a5b7
c)
8a5b7
d)
15a5b3
21.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
22.
(x3)2
a)
x5
b)
x
c)
x6
d)
3x2
23.
5³⋅5⁴
a)
5⁷
b)
56
c)
5¹²
d)
5
24.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
25.
(-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
26.
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
27.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
28.
2x2 ⋅ (9x3)
a)
18x6
b)
81x6
c)
18x5
d)
81x5
29.
3x3y ⋅ 2x8y5
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
3x112y5
30.
(-8x10y9)2
a)
-16x20y18
b)
64x12y11
c)
64x20y18
d)
-16x12y11
31.
b3⋅b4⋅b7⋅b
a)
b13
b)
b14
c)
b15
d)
b84
32.
(4x) ⋅ (2x2)3
a)
8x7
b)
8x6
c)
32x7
d)
32x6
33.
4x7y3 ⋅ (5x3y5)2
a)
40x12y10
b)
100x13y13
c)
100x42y30
d)
40x13y13
34.
(-3x4y5)2
a)
9x8y10
b)
6x8y10
c)
-3x8y10
d)
-9x8y10
35.
Evaluate this expression using the quotient of powers rule.
a)
95
b)
99
c)
15
d)
9-5
36.
Evaluate the expression using the quotient of powers rule.
a)
122
b)
130
c)
622
d)
630
37.
Evaluate the expression using the quotient of powers rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
38.
Evaluate the expression using the quotient of powers rule.
a)
a8b13
b)
a2b7
c)
a15b30
d)
a8b7
39.
Evaluate the expression using the quotient of power rule.
a)
1
b)
g10
c)
g25
d)
g
40.
Evaluate the expression using the zero exponent property: y0
a)
y
b)
0
c)
1
d)
1y
41.
Evaluate the expression using the zero exponent property: (-9)0
a)
-9
b)
-1
c)
1
d)
9
42.
Evaluate the expression using the negative exponent property: x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
43.
Evaluate the expression using the negative exponent property: 9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
44.
Evaluate the expression using the negative exponent property: g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
45.
Evaluate the expression using the power of a quotient property: ( x / y )3
a)
( x / y3 )
b)
( x3 / y )
c)
( x3 / y3 )
d)
1
46.
Evaluate the expression using the power of a quotient property: ( 2x / 2 )2
a)
( 4x / 4 )
b)
( 4x2 / 4 )
c)
( 2x2 / 2 )
d)
1
47.
Rewrite x3/4 in radical form
a)
3√(x)4
b)
4√(x)3
c)
x√(3)4
d)
1/(3√(x)4)
48.
Rewrite √(y)5 in exponential form.
a)
y5/2
b)
y2/5
c)
y-5/2
d)
y-2/5
49.
Rewrite √(y)5 in exponential form.
a)
y5/2
b)
y2/5
c)
y-5/2
d)
y-2/5
50.
Rewrite √(y)5 in exponential form.
a)
y5/2
b)
y2/5
c)
y-5/2
d)
y-2/5
51.
Evaluate 813/4
a)
1/3
b)
3
c)
27
d)
243
52.
Evaluate (1/4)-3/2
a)
1/8
b)
-1/8
c)
3√(4)2
d)
8
53.
y2x⋅y3x=
a)
y5x
b)
y6x
c)
y5(x^2)
d)
y6(x^2)
54.
h5/h8=
a)
h3
b)
1/h3
c)
h5/8
d)
5√(h)8
55.
Evaluate 4√(81).
a)
3
b)
9
c)
27
d)
243
56.
Evaluate 6√(64)2
a)
2
b)
4
c)
6
d)
64
57.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
58.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
59.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
60.
Add the polynomials.
(2x + 5y) + (3x - 2y)
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
61.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
62.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
63.
6m + 3z + 4m + 2w - 5z
a)
10m + 2z -2w
b)
m + z + w
c)
10m - 2z + 2w
d)
2m - 2z + 2w
64.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
65.
What is the correct name of the following:
3x + 5y2 - 3
3x + 5y2 - 3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
66.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
67.
What is the standard form of the polynomial,
7x - 125 - 6x4 + 14x2
7x - 125 - 6x4 + 14x2
a)
125 + 7x - 14x2 +6x4
b)
6x4 -14x2 - 7x +125
c)
125 + 14x2 + 7x - 6x4
d)
-6x4+ 14x2 + 7x - 125
68.
What is the degree of this polynomial?
4xy2 + 3x - 5
4xy2 + 3x - 5
a)
2
b)
3
c)
4
d)
5
69.
What is the degree of this term?
-7xyz2
-7xyz2
a)
3
b)
4
c)
-7
d)
7
70.
What is the correct name of the following:
3x + 5y2 - 3
3x + 5y2 - 3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
71.
What is the correct name of the following:
3xy + 4x + 5y + 6
3xy + 4x + 5y + 6
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
72.
What is the degree of this polynomial?
52a2bc - 2a3b2 + 4
52a2bc - 2a3b2 + 4
a)
2
b)
4
c)
5
d)
52
73.
What is the standard form of the polynomial,
7x - 125 - 6x4 + 14x2
7x - 125 - 6x4 + 14x2
a)
125 + 7x - 14x2 +6x4
b)
6x4 -14x2 - 7x +125
c)
125 + 14x2 + 7x - 6x4
d)
-6x4+ 14x2 + 7x - 125
74.
What is the standard form of the polynomial:
9x2 + 5x + 27 + 2x3
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
75.
Factor:
x2 + 5x - 24
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
76.
Factor:
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 12)(x + 2)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
77.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
78.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
79.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
80.
Factor:
x2+16x+15
x2+16x+15
a)
(x+1)(x+15)
b)
(x+3)(x+5)
c)
(x-3)(x-5)
d)
(x-1)(x+15)
81.
Factor:
x2 + 7x - 30
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
82.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
83.
Factor
a2 - a - 12
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
84.
Factor
r2 -16r + 60
r2 -16r + 60
a)
(r - 15)(r + 4)
b)
(r - 6)(r + 10)
c)
(r - 6)(r - 10)
d)
(r +30)(r - 2)
85.
Factor
x2 -16x + 48
x2 -16x + 48
a)
(x - 12)(x - 4)
b)
(x + 6)(x - 8)
c)
(x + 12)(x - 4)
d)
(x -16)(x - 3)
86.
x2 - 16
a)
Prime
b)
( x - 4) ( x + 4)
c)
( x - 8) ( x + 8)
d)
( x - 4) ( x - 4)
87.
Factor
x2 - 400
x2 - 400
a)
( x - 200) ( x + 200)
b)
( x + 20) ( x + 20)
c)
Prime
d)
( x - 20) ( x + 20)
88.
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
89.
x2 - 225
a)
( x + 15) ( x + 15)
b)
Prime
c)
( x - 15) ( x + 15)
d)
( x - 15) ( x - 15)
90.
Factor:
56a3-8a
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
91.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
92.
Factor by using GCF:
8n3 + 2n2
8n3 + 2n2
a)
2n2(4n-1)
b)
2n2(4n + 1)
c)
n2(8n+2)
d)
3n(4n+1)
93.
Factor by GCF:
6m2 + 16m
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
94.
Factor by using GCF:
10x2 + 15x-5
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
95.
3x3 + 9x2 - 15x
a)
x(3x2 + 9x - 15)
b)
3x(x2 + 3x - 5)
c)
3x(x2 - 9x + 15)
d)
x(3x2 -9x + 15)
96.
Simplify:
(x - 7)(x + 7)
(x - 7)(x + 7)
a)
x2 + 7x - 49
b)
x2 - 7x + 49
c)
x2 - 49
d)
x2 + 49
97.
Find the product:
(x + 12)(x - 12)
(x + 12)(x - 12)
a)
x2 - 144
b)
x2 + 144
c)
x2 + 12x - 144
d)
x2 - 12x + 144
98.
Multiply:
(3x – 1)(x + 5)
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
99.
Find the product:
(3x + 2)(2x + 4)
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
100.
Simplify:
(x - 9)(x - 7)
(x - 9)(x - 7)
a)
x2 - 2x - 63
b)
x2 - 16x - 63
c)
x2 - 2x + 63
d)
x2 - 16x + 63
101.
Find the product:
(x + 5)(x - 4)
(x + 5)(x - 4)
a)
x2 + 9x + 20
b)
x2 + 9x - 20
c)
x2 + 1x - 20
d)
x2 - 1x - 20
102.
Find the product:
(3x – 1)(x + 5)
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
103.
Simplify
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
a)
p 2 − 16p − 64
b)
p 2 + 16p + 64
c)
p 2 − 16p − 8
d)
p 2 − 16p + 64
104.
Find the product:
(y - 3)(y + 7)
(y - 3)(y + 7)
a)
y2 - 21
b)
y2 + 10x - 21
c)
y2 + 4y - 21
d)
2y - 10
105.
Find the product:
(y - 3)(y + 7)
(y - 3)(y + 7)
a)
y2 - 21
b)
y2 + 10x - 21
c)
y2 + 4y - 21
d)
2y - 10
106.
Find the product:
(n - 5)(n - 1)
(n - 5)(n - 1)
a)
n2 - 5n + 5
b)
n2 - 6n + 5
c)
n2 + 5
d)
n2 + 6n + 5
107.
Multiply:
(r + 7)(r − 7)
(r + 7)(r − 7)
a)
r 2 − 49
b)
r 2 + 14
c)
r 2 − 7r + 49
108.
Simplify:
(x-7)2
(x-7)2
a)
x2-49
b)
x2+49
c)
x2-14x+49
d)
x2-14x-49
109.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
110.
A line about which a figure is symmetric is the ____ __ ________
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
111.
What is the vertex of the graph?
a)
(2,4)
b)
(-2,-4)
c)
(4,2)
d)
(-4,-2)
112.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
y intercept
113.
What are the coordinates of the y-intercept?
a)
(-3, 0)
b)
(0, -3)
c)
(2, 1)
d)
y=-3
114.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
115.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
116.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
117.
The axis of symmetry (line of symmetry) of this parabola is...
a)
y=4
b)
y=-4
c)
x=4
d)
x=-4
118.
What is the axis of symmetry (line of symmetry)?
a)
-3
b)
-1
c)
x=-3
d)
x=-1
119.
Quadratic equations take the shape of a _______ when graphed.
a)
u- shaped line
b)
straight line
c)
wavey line/snaked
d)
circle/elliptical
120.
Name the x-intercept(s)?
a)
0
b)
4
c)
2
d)
0 and 4
121.
The lowest point one hits when using a swing would represent what?
a)
Maximum value
b)
Minimum value
c)
A root
d)
An x-intercept
122.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
123.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(-1, 3)
d)
(4, 2)
124.
Identify A, B, and C if y=3x2-8+5x
a)
A=3, B=5, C=-8
b)
A=3, B=-8, C=5
c)
A=3x2, B=5x, C=-8
d)
A=3x2 , B=-8, C=5x
125.
Match the possible equation to the graph.
a)
y = 2x2 - 5
b)
y = -x2 - 5
c)
y = 3x2 +5
d)
y = 5x2
126.
What is the standard form of a quadratic function?
a)
y = mx + b
b)
y = ax2 + bx +c
c)
y = a(x-h)2 + k
127.
What is the vertex?
a)
(4,-4)
b)
(2,0)
c)
(0,2)
d)
(6,0)
128.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
129.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
130.
Find the vertex of
f(x) = -x2 - 4x + 12
f(x) = -x2 - 4x + 12
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
131.
What direction is the following equation opening?
y=-3x2-7x+8
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
132.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
y=4x2-8x+9
a)
x=-8
b)
x=2
c)
x=-2
d)
x=4
133.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
134.
Does
y = -4x2
have a maximum or minimum value?
y = -4x2
have a maximum or minimum value?
a)
maximum
b)
minimum
135.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Slope
c)
Maximum value
d)
A parabola
136.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
137.
Solve 3x2 - 192 = 0
a)
-32 or 32
b)
No Solution
c)
-8 or 8
d)
-64 or 64
138.
Solve 3x2 - 2x = 8
a)
No Solution
b)
-2 or 1.3
c)
2
d)
-1.3 or 2
139.
Solve 10x2 = 8x
a)
0 or 0.8
b)
-0.8 or 0
c)
No Solution
d)
0
140.
Solve 2x2 - 32 = 0
a)
-16 or 16
b)
-4 or 4
c)
No Solution
d)
-8 or 8
141.
Solve 8x2 - 6x + 1 = 0
a)
No Solution
b)
0 or 1
c)
-0.5 or -0.25
d)
0.25 or 0.5
142.
Solve x2 = 9/16
a)
-1 or 1
b)
-0.5 or 0.5
c)
-0.75 or 0.75
d)
No Solution
143.
Solve 3x2 - 11x + 10
a)
1.7 or 2
b)
1 or 2
c)
1.5 or 2
d)
-1.7 or 2
144.
Solve 4x2 + 12x + 11 = 0
a)
-2.2 or -0.8
b)
-2 or -1
c)
2 or 1
d)
No Solution
145.
Solve 5x2 - 50 = 0
a)
-3 or 3
b)
-3.2 or 3.2
c)
-3.4 or 3.4
d)
-4 or 4
146.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
147.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
148.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
149.
Factor
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
150.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
151.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
152.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
153.
Factor
2x2 - 13x - 70
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
154.
Factor
5x2-28x+32
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
155.
Factor
4n2-17n-15
4n2-17n-15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
156.
Factor
9x2-6x-8
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
157.
Factor
9x2+9x-10
9x2+9x-10
a)
(3x-5)(3x+2)
b)
(3x+5)(3x-2)
c)
(3x+5)(3x+2)
d)
Not Factorable
158.
Factor
4x2-25x+25
4x2-25x+25
a)
4(x-5)(x+5)
b)
(x+5)(4x+5)
c)
(x-5)(4x-5)
d)
(x+2)(9x+1)
159.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
160.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
161.
Factor:
5n² - 6n - 27
5n² - 6n - 27
a)
(5n + 3)(n-9)
b)
(5n - 3)(n + 9)
c)
(5n + 9)(n - 3)
d)
(5n - 9)(n + 3)
162.
Factor:
3x² + 5x - 12
3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
163.
Factor:
2x² - 3x - 2
2x² - 3x - 2
a)
(2x - 2)(x + 1)
b)
(2x + 1)(x - 2)
c)
(2x - 1)(x - 2)
d)
(2x - 1) (x - 1)
164.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
165.
Factor
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
166.
Factor
v2 - 6v + 9
v2 - 6v + 9
a)
(v-3)2
b)
(v-6)2
c)
(v-9)(v+6)
d)
not factorable
167.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
168.
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
169.
Factor 45y2 - 20y2
a)
5y (3y + 2) (3y - 2)
b)
5y2 (3y + 2) (3y - 2)
170.
Factor 8w5 - 48w4 + 72w3
a)
8w3 (w - 3) (w - 3)
b)
8w3 (w + 3) (w - 3)
c)
8w3 (w2 - 6w + 9)
d)
8w3 (w + 3) (w - 2)
171.
Factor p3 - 3p2 - 16p + 48
a)
p2 ( p - 3) (p - 3)
b)
(p2 - 16) (p - 3)
c)
(p + 4) (p - 4) (p - 3)
172.
Factor x3 + 2x2 - 49x - 98
a)
(x2 - 49) (x + 2)
b)
(x2 - 49) (x + 2) (x + 2)
c)
(x + 7) (x - 7) (x + 2)
173.
Which equation matches these solutions? x=5,-7
a)
(x+5)(x-7)=0
b)
(x-5)(x+7)=0
c)
(x+5)(x+7)=0
d)
(x-5)(x-7)=0
174.
Which equation matches these solutions? x=1/4,-3/5
a)
(4x+1)(5x+3)=0
b)
(4x-1)(5x-3)=0
c)
(4x+1)(5x-3)=0
d)
(4x-1)(5x+3)=0
175.
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
176.
a)
-6, -2
b)
-2, 6
c)
2, 6
d)
-6, 2
177.
a)
±1.5
b)
1.5
c)
±1
d)
No real solution
178.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
179.
Solve. 3x2 - 27x = 0
a)
{-3,3}
b)
{0,9}
c)
{-27}
d)
{0,3}
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