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WorksheetsNumber and Algebraic Methods
Total questions: 202
Worksheet time: 13hrs 9mins
Name
Class
Date
1.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
2.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
3.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
5.
How would you change this to a positive exponent:
1/x-3
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x
6.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
7.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
8.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
9.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
10.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
11.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
12.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
13.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
14.
What is 100 equivalent to?
a)
1
b)
10
c)
0
d)
100
15.
Simplify:
b⁴ x b⁻³ ÷ b⁻²
b⁴ x b⁻³ ÷ b⁻²
a)
b³
b)
b⁻³
c)
b⁵
d)
b⁻¹
16.
What is the first step when factoring polynomials?
a)
Find the GCF
b)
List all the terms
c)
Make the X and fill in the top and bottom
d)
Multiply a and c
17.
Factor out the GCF:
12x + 6
12x + 6
a)
6(2x + 1)
b)
3(4x + 2)
c)
6x(2x + 1)
d)
2(6x + 3)
18.
Factor out the GCF:
10x³ - 15x
10x³ - 15x
a)
x(10x² - 15)
b)
5x(2x² - 3)
c)
5(2x³ - 3x)
d)
5x²(10x - 3)
19.
Factor:
x² - 5x - 14
x² - 5x - 14
a)
(x - 2)(x + 3)
b)
(x - 2)(x + 7)
c)
(x + 2)(x - 7)
d)
(x - 2)(x - 3)
20.
Which of the following is a factor of x2-10x+24?
a)
x-4
b)
x+4
c)
x+6
d)
x-2
21.
Solve for X:
(x-5)(x+6)=0
a)
{5,5 }
b)
{ -5,-5 }
c)
{ -5,-6 }
d)
{5,-6 }
22.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
23.
Solve by factoring: x2 + 3x - 18 = 0
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
24.
x2 - 6x - 7 = 0
a)
{-1, 7}
b)
{-3, -1}
c)
{5, 6}
d)
{-3, 3}
25.
Factor Completely:
3x2 + 18x +15
3x2 + 18x +15
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
26.
3x2+9x-30=0
a)
x= 2, -5
b)
x= 5, -2
c)
x= -5, -2
27.
Factor:
2x² + 11x + 14
2x² + 11x + 14
a)
(x + 7)(2x + 2)
b)
(x + 2)(2x + 7)
c)
(x + 14)(2x + 1)
d)
(x + 1)(2x + 14)
28.
Solve by factoring: 5x2 + 13x + 6 = 0
a)
x = -2 and x = -3/5
b)
x = 2 and x = 3/5
c)
x = -2 and x = 3/5
d)
x = 2 and x = -3/5
29.
Factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
30.
x2−100=0
a)
{25,4}
b)
{−50,2}
c)
{−10,10}
d)
{0,100}
31.
Factor x2-2x-15
a)
(x+5)(x-3)
b)
(x-5)(x-3)
c)
(x-5)(x+3)
d)
(x+5)(x+3)
32.
Factor x2 + 7x + 12
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
33.
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)
34.
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)
35.
Factor
n2 + 5n - 6
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
36.
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)
37.
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)
38.
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)
39.
Factor:
p2 - 14p
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
40.
Factor:
x2 -15x + 36
x2 -15x + 36
a)
(x - 18)(x + 2)
b)
(x - 12)(x - 3)
c)
(x - 12)(x + 3)
d)
(x + 18)(x - 2)
41.
Which is another way of correctly expressing
(x - 3)(x - 3)?
(x - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
42.
Factor:
x2 - 8x - 128
x2 - 8x - 128
a)
(x - 16)2
b)
(x - 16)(x + 8)
c)
(x + 16)(x - 8)
d)
(x - 16)(x - 8)
43.
x2 + 5x + 6
a)
(x+2)(x+3)
b)
(x+1)(x+6)
c)
(x-1)(x+6)
d)
(x-2)(x-3)
44.
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)
45.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
46.
Factor the Trinomial:
x2 - 8x + 15
x2 - 8x + 15
a)
(x + 5) ( x + 3)
b)
(x - 5) (x - 3)
c)
(x + 15) (x - 1)
d)
(x - 7) (x - 8)
47.
x2 - 16
a)
Prime
b)
( x - 4) ( x + 4)
c)
( x - 8) ( x + 8)
d)
( x - 4) ( x - 4)
48.
Factor:
x2 - 5x
x2 - 5x
a)
1(x - 5)
b)
x(x - 5x)
c)
x(x - 5)
d)
x2(1 - 5)
49.
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)
50.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
51.
Add the polynomial (-3x + 4) + (8x - 5)
a)
5x - 9
b)
5x - 1
c)
11x - 1
d)
11x - 9
e)
None of these
52.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
e)
None of these
53.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
e)
None of these
54.
Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)
a)
3x³-2x²+3x+2
b)
3x³+x²+2
c)
3x³-5x²-2
d)
3x³-x²+1
e)
None of these
55.
Add the following polynomials
(x³-6x²+3)+(3x³+4x-1)
a)
4x³-2x²+2
b)
4x³-6x²+4x+2
c)
-2x³+2x+2
d)
4x³-2x²-2
e)
None of these
56.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
57.
Classify by number of terms:
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
e)
Constant
58.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
59.
(3x2+xy-5y2) + (2x2-xy+3y2)
a)
5x2-2xy+8y2
b)
5x2-2y2
c)
5x2+2y2
d)
5x2+2xy-8y2
e)
None of these
60.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x2 +6y2 + 6z2
b)
4x + y + 6z
c)
-4x2 - y2 + 6z2
d)
-4x + y + 6z
e)
None of these
61.
Add the polynomials.
(2xy - 3x2 + 4y - 5) + (-3xy + 4y2 - 3y + 8)
a)
-1xy - 3x2 + 4y2 + 1y + 3
b)
-1xy + 1x2 + 1y + 3
c)
-1xy + 1y2 + 1y + 3
d)
1xy + 3x2 + 4y2 + 1y + 3
e)
None of these
62.
Find the sum.
(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
e)
None of these
63.
What is the correct name of the following:
3xy + 4x + 5y + 6
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
e)
Constant
64.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
65.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
66.
A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?
a)
4x - 12
b)
4x - 1
c)
8x - 2
d)
4x2 - 2x - 12
67.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
68.
Combine like terms to simplify:
(5x + 2) + (4x + 5)
(5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
69.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
70.
(4a + 6ab - b) + (-2a - ab + 3b)
a)
2a + 7ab + 2b
b)
6a + 5ab - 2b
c)
6a + 7ab + 4b
d)
2a + 5ab + 2b
71.
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
72.
-3(x - 4)
a)
-3x - 12
b)
3x - 12
c)
3x + 12
d)
-3x + 12
73.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
74.
Add or Subtract to Simplify:
(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
75.
Add or Subtract to Simplify:
(5x + x2 - 4) - (4x - x2 + 6)
(5x + x2 - 4) - (4x - x2 + 6)
a)
2x2 + x + 2
b)
x + 2
c)
2x2 + x - 10
d)
x - 10
76.
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
(x5 + x3) - (6x - x3 + 6x5)
a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
77.
Add or Subtract to Simplify:
(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
78.
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
79.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
80.
Subtract the polynomials.
(2x + 5y) - (3x - 2y)
a)
-x + 3y
b)
-x + 7y
c)
5x + 7y
d)
7xy + 1xy
81.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
82.
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
83.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
84.
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
85.
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
86.
Classify the expression by the number of terms: -2x3 + 9x2 + 6
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
87.
Simplify:
5(3x+2)
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
88.
Simplify:
2x ( -2x -3)
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
89.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
90.
(x + 5)(x + 4)
a)
x2 + x + 20
b)
x2 + 20x + 9
c)
x2 + 9x + 20
d)
x2 - 9x + 54
91.
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
92.
(x - 5)(x + 1)
a)
x2 - 4x - 5
b)
x2 + 6x - 5
c)
x2 - 5x - 4
d)
x2 - 4x - 4
93.
(x - 3)(x +10)
a)
x2 - 7x + 13
b)
x2 - 6x - 30
c)
x2 + 7x - 30
d)
x2 + 13x + 30
94.
(x + 7)(x - 2)
a)
x2 - 5x + 5
b)
x2 - 9x - 14
c)
x2 - 5x - 14
d)
x2 + 5x - 14
95.
(x - 4)(x - 6)
a)
x2 -10x + 24
b)
x2 - 10x - 24
c)
x2 +10x + 24
d)
x2 + 10x - 24
96.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
97.
Multiply 7x2y3 (2x4y5+6xy3)
a)
14x8y15+42x2y9
b)
9x6y8+13x3y6
c)
14x6y8+42x3y6
d)
14x6y8+42x2y6
98.
(5c-2)(3c2-5c+4)
a)
15c3-31c4+30c2-8
b)
15c3-19c2+10c-8
c)
15c3-31c2+30c-8
d)
15c3-31c2+30c+8
99.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
100.
(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
101.
(3x − 6)(7x + 7)
a)
21x2 − 63x + 42
b)
21x2 − 21x − 42
c)
21x2 − 42
d)
21x2 + 63x + 42
102.
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
103.
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
104.
Simplify: (3x4 + 2x - 4x2) + (5x2 - 8x + 6x4)
a)
9x4 + 10x + 9x2
b)
9x4 + x2 - 6x
c)
3x4 + 9x2 + 6x
d)
3x4 - 6x + x2
105.
5xy(6x-y)
a)
11x2 - y2
b)
30x2 + y2
c)
30x2y - 5xy2
d)
11x2y + 5x2y2
106.
4a(5a2 - a + 4)
a)
20a3 - 4a2 + 16a
b)
20a2 - 5a + 8a
c)
20a2 + 4a2 + 16a
d)
20a3 +3a2 + 16a
107.
(x+7)(3x+2)
a)
3x2 + 10x + 14
b)
3x2 + 14
c)
4x + 9
d)
3x2 + 23x +14
108.
(a+b)(a+b)
a)
a2 - b2
b)
a2 + b2
c)
a2 + ab + b2
d)
a2 + 2ab + b2
109.
(5x-1)(x+1)
a)
5x2 + 4x - 1
b)
5x2 + 6x - 1
c)
5x2 - 4x - 1
d)
5x2 + 4x + 1
110.
(x - 6)(2x + 3)
a)
2x2 - 9x - 18
b)
2x2 + 15x - 18
111.
(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
112.
(x+10)(x-10)
a)
x2 - 100
b)
x2 + 100
c)
x2 + 20x - 100
d)
x2 -20x + 100
113.
(3x - 5)(x2 - 5x +6)
a)
3x3 - 20x2 + 43x - 30
b)
3x2 - - 43x
c)
3x3 -25x -30
d)
3x3 +25x
114.
a)
1/m2
b)
m2
c)
m8
d)
1/m8
115.
a)
5p2 - 16p
b)
5p + 4
c)
5p - 4
d)
5p + 4p
116.
Divide:
(4x2 - 24x + 35) / (2x - 5)
a)
2x - 7
b)
2x - 12
c)
2x + 12
d)
2x + 7
117.
Which term is missing in this problem?
2x3 + 5x2 + 9 ÷
x + 3
2x3 + 5x2 + 9 ÷
x + 3
a)
x4
b)
x3
c)
x2
d)
x
118.
Which would be better to use here?
a)
Long division
b)
Synthetic division
119.
For synthetic division, what would be the number in the left hand box?
a)
0
b)
1
c)
2
d)
3
120.
Divide using synthetic division
(2x³ + 4x² - 5) by (x + 3).
a)
2x² + 2x - 4 - 12/(x + 3)
b)
2x² - 2x + 6 - 23/(x + 3)
c)
2x² - 2x + 8 - 20/(x + 3)
d)
2x² - 4x + 1
121.
2x3 - 5x2 + 3x + 7 ÷ x - 2
a)
2x3 - x2 + x + 9
b)
2x2 - x + 1
c)
2x2 - x + 1 + 9/(x - 2)
d)
2x2 - 9x - 15 - 23/(x - 2)
122.
Divide (4x³ - 2x² - 3) by (2x² - 1).
a)
2x - 1 + (2x - 4)/(2x2 - 1)
b)
2x + 3 + (x - 3)/(2x2 - 1)
c)
2x - 1
d)
2x + 3 + (3x-5)/(2x2 - 1)
123.
(6b2 - 5b - 52) ÷ (3b - 10)
a)
2b - 5 +2/(3b - 10)
b)
2b + 5 - 2/(3b - 10)
c)
18b -15 + 3/(3b - 10)
d)
-2b +15 +2/(3b - 10)
124.
a)
2x - 5
b)
x - 4 + 3/(4x - 5)
c)
2x + 4 + 3/(4x - 5)
d)
2x + 4
125.
Divide (x3 + 3x2 - 4x - 12) by (x2 + x - 6)
a)
x - 2
b)
x5 + 6
c)
x + 2
d)
x2 + 2
126.
Find the quotient when (21x2 - 52x + 32) is divided by (7x - 8).
a)
3x + 4
b)
3x + 3
c)
3x - 4
d)
3x + 2
127.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
128.
Write as a radical expression
y²⁄ ³
y²⁄ ³
a)
2y³
b)
√y³
c)
∛y²
d)
3y²
129.
Simplify:
a)
2
b)
8
c)
16
d)
32
130.
Simplify the following expression:
a)
2
b)
4
c)
16
d)
64
131.
Simplify:
a)
2
b)
4
c)
16
d)
64
132.
Write with rational exponents: √(7x)
a)
(7x)½
b)
7x½
c)
7x²
d)
(7x)²
133.
Rewrite the following
∛x5
a)
x3/5
b)
x5/3
c)
x2
d)
x3⋅x5
134.
Write in exponential form
∜(3x)³
∜(3x)³
a)
3x³⁄ ⁴
b)
(3x)³∕ ⁴
c)
(3x)⁴⁄ ³
d)
3x⁴⁄ ³
135.
Simplify
a)
3 x² y² z √3yz
b)
3 x y z √xy²
c)
3xyz
d)
Can't Simplify
136.
Is this graph a function and how can you tell?
a)
Yes its a function cause it doesn't cross itself
b)
No it's not a function because it goes through the origin
c)
No it's not a function because the x value 4 has y values of -2 & 2
d)
No it's not a function because the y value 4 has x values of -2 & 2
137.
Is this mapping a function and how can you tell?
a)
Yes its a function cause all the numbers have lines
b)
No it's not a function because there a 5 in both ovals
c)
No it's not a function because the x value 5 has y values of 2 & 9
d)
No it's not a function because the y value 5 has x values of 2 & 9
138.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the numbers don't follow any pattern
c)
No it isn't a function because the x value 4 has y values of 7& 14
d)
No it's not a function because the y value 4 has x values of 7& 14
139.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values
d)
No it isn't a function because an y value repeats but has different x values
140.
Which of the following guarantees a table will not be a function?
a)
A x value repeats
b)
An y value repeats
c)
An x value repeats and has different y values
d)
A y value repeats and has different x values
141.
How do you administer a vertical line test.
a)
You don't only doctor's are allowed to do those
b)
Draw lines straight across your graph and see if any hit the graph more than once
c)
Draw lines straight down your graph and see if any hit the graph more than once
d)
Check to see if the graph is a vertical line( straight up)
142.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
143.
a)
Function
b)
Not a Function
144.
How do you administer a vertical line test.
a)
You don't only doctor's are allowed to do those
b)
Draw lines straight across your graph and see if any hit the graph more than once
c)
Draw lines straight down your graph and see if any hit the graph more than once
d)
Check to see if the graph is a vertical line( straight up)
145.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
146.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
147.
a)
Function
b)
Not a Function
148.
a)
Function
b)
Not a Function
149.
a)
6
b)
-6
c)
14
d)
-14
150.
a)
16
b)
48
c)
-28
d)
4
151.
a)
-67
b)
67
c)
77
d)
-77
152.
a)
-12
b)
-43
c)
29
d)
-29
153.
a)
-20
b)
20
c)
-24
d)
24
154.
a)
1
b)
-1
c)
19
d)
-19
155.
a)
-10
b)
-40
c)
10
d)
40
156.
Find f(-1)
a)
-3
b)
15
c)
19
d)
17
157.
Find f(-3)
a)
-3
b)
15
c)
19
d)
17
158.
If f(x) = 19, Find the value for x.
a)
0
b)
1
c)
2
d)
3
159.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
160.
Given g(x) =
4x - 7, find g(-9).
4x - 7, find g(-9).
a)
g(-9) = 29
b)
g(-9) = -43
161.
If f(x) = -4x - 5
what is f(1)?
a)
9
b)
-7
c)
-9
d)
-10
162.
Given h(x) = -9x +5, find h(8).
a)
h(8) = -360
b)
h(8) = -67
163.
The next two terms of the sequence 4,7,10,13 are
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
164.
The next two terms of the sequence 12,17,22,27 are
a)
28 and 33
b)
29 and 34
c)
27 and 32
d)
30 and 35
165.
The next two terms of the sequence 4,7,10,13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
166.
Identify the common difference.
10, 20, 30, 40, ...
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
167.
Identify the common difference.
3, 7, 11, 15, ...
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
168.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
169.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
170.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
171.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
172.
Write a recursive rule for the sequence 17, 1, -15, -31 . . .
a)
an = an-1 + 16
b)
an = an-1 - 17
c)
an = an-1 - 15
d)
an = an-1 - 16
173.
Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .
6, 4, 2, 0, . . .
a)
an = -2n + 8
b)
a1 =6, an = an - 1 - 2
c)
a1 = 6, an = an-1 + 2
d)
a1 = 6, an = an-1 - 2
174.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
175.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
176.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
177.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
178.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
179.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
180.
Find the next three terms: 4, 12, 36, 108, ...
a)
324, 972, 2916
b)
972, 2916, 8748
c)
405, 1215, 3645
181.
Find the next three terms: -4, -12, -36, -108, ...
a)
36, -108, 324
b)
-324, -972, -2916
c)
324, -972, 2916
d)
-108, 324, -972
182.
Which formula is used to find the explicit equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
183.
What is the recursive rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x 2
c)
an = 11(2)n-1
d)
an = 2an-1
184.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
185.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
186.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
187.
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
188.
Solve for t.
D= rt
D= rt
a)
D/r = t
b)
Dr = t
c)
D/t = r
d)
Dt = r
189.
a)
b = 3A - a - c
b)
b = -3A + a - c
c)
b = -3A - a - c
d)
b = 2A - c
190.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
191.
Solve:
V = πr²h , for h
V = πr²h , for h
a)
V/(πr²) = h
b)
V - πr² = h
c)
V + πr² = h
d)
V/π = h
192.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
193.
Solve for n:
2m - n = 8
2m - n = 8
a)
n = 2m - 8
b)
n = -2m - 8
c)
n = 2m + 8
d)
n = -2m + 8
194.
ax + c = R
(solve for x)
(solve for x)
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c) / a
195.
IR = V
(solve for R)
(solve for R)
a)
R = IV
b)
R = I/V
c)
R = V/I
d)
R = V - I
196.
a)
T = PV/K
b)
T = PK/V
c)
T=KV/P
d)
Greenland
197.
y = 2x −2 solve for x
a)
x = 2y−2
b)
x = 2y−2
c)
x=2y+2
d)
x = y +2
198.
3y = 2g(x+h) solve for x
a)
x = 2g3y+h
b)
x = 2g3y−h
c)
x = 2g3y+h
d)
x = 2g3y−h
199.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
200.
a)
s = -Dn + C
b)
s = Dn - C
c)
s = Dn/C
201.
Solve for n
a)
A
b)
B
c)
C
d)
D
202.
Solve the formula for t. What is the 1st step?
a)
Multiply each side by t.
b)
Subtract f from each side.
c)
Divide each side by t.
d)
Add s to each side.
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