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WorksheetsGet Ready for Quadratics!
Total questions: 55
Worksheet time: 4hrs 48mins
Name
Class
Date
1.
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
2.
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
3.
(3x2 + 4x - 2) - (5x + 7)
a)
3x2 - x - 9
b)
2x2 - 9
c)
3x2 + 9x - 5
d)
3x2 - x + 5
4.
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
5.
Find the product.
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
6.
Find the product
(x +2)(x + 3)
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
7.
Find the product
(x - 3)(x +10)
(x - 3)(x +10)
a)
x2 - 7x + 13
b)
x2 - 6x - 30
c)
x2 + 7x - 30
d)
x2 + 13x + 30
8.
What is the Area?
a)
2x2 - 3x - 18 inches2
b)
2x2 + 3x + 18 inches2
c)
2x2 + 9x - 18 inches2
d)
2x2 - 9x - 18 inches2
9.
2(2x + 1) + 8x - 3
a)
12x -1
b)
12x - 5
c)
12x + 1
d)
12x + 6
10.
2(2x + 3) + 5
a)
4x + 6x + 10
b)
4x + 10
c)
4x + 11
d)
4x + 16
11.
Which is an example of a linear polynomial?
a)
x²-5
b)
6x+4
c)
5x⁵
d)
2x³-9x²
12.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
13.
What is the leading coefficient of the following polynomial?
5x²-3x+6
5x²-3x+6
a)
2
b)
-3
c)
5
d)
6
14.
What is the GCF in this polynomial?
3x²+6x-18
3x²+6x-18
a)
2
b)
3
c)
6
d)
18
15.
What is the GCF of this polynomial?
2x³-8x²+3x
2x³-8x²+3x
a)
2
b)
x²
c)
2x
d)
x
16.
What is the GCF of the following polynomial?
4x²+6x-20
4x²+6x-20
a)
1
b)
2
c)
4
d)
6
17.
What is the GCF of the following polynomial?
2x³+4x²-12x?
2x³+4x²-12x?
a)
2
b)
4x
c)
x
d)
2x
18.
Simplify the expression.
x3(2x2+3x)
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
19.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
20.
(2x − 3)(2x + 3)
a)
4x2 − 12x + 9
b)
4x2 − 9
c)
4x2 + 9
d)
4x2 + 6x − 9
21.
(x + 3)(x + 7)
a)
x2 + 10x + 21
b)
x2 + 21
c)
x2 + 4x + 21
d)
x2 − 10x + 21
22.
(3x − 6)(7x + 7)
a)
21x2 − 63x + 42
b)
21x2 − 21x − 42
c)
21x2 − 42
d)
21x2 + 63x + 42
23.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
24.
(5x+1)(x+4)
a)
5x2 + 19x − 4
b)
5x2 + 21x + 4
c)
5x2 + 4
d)
5x2 − 19x − 4
25.
Simplify 9/18
a)
1/2
b)
3/6
c)
9/18
d)
5/10
26.
Simplify 9/45
a)
3/15
b)
5
c)
4
d)
1/5
27.
Simplify 6/42
a)
2/5
b)
7
c)
1/7
d)
3/21
28.
Simplify 14/35
a)
3
b)
2/5
c)
5/2
d)
7/17.5
29.
Simplify 9/36
a)
4
b)
3/12
c)
1/4
d)
12
30.
Simplify 21/56
a)
7/8
b)
3/8
c)
5/13
d)
10/27
31.
Simplify 9/6
a)
2/3
b)
3/2
c)
3/4.5
d)
1/3
32.
Simplify
a)
1/4
b)
1/24
c)
6/4
d)
1/18
33.
Change the improper fraction to a mixed number.
a)
1 1/10
b)
2 1/2
c)
2 2/5
d)
2 1/4
34.
Simplify
a)
1/5
b)
1/3
c)
3/5
d)
2/3
35.
Simplify
a)
1/4
b)
1/3
c)
1/2
d)
1/8
36.
Simplify
a)
1/4
b)
6/10
c)
4/4
d)
3/4
37.
What is the value of the expression
x2 + y2 + x - y
when x = -1 and y = 3
x2 + y2 + x - y
when x = -1 and y = 3
a)
6
b)
8
c)
12
d)
16
38.
evaluate bc + 5a
when a = 3, b = 4, and c = -6
when a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
39.
evaluate bc + 5a
when a = 3, b = 4, and c = -6
when a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
40.
a2-b2Evaluate if a=4 and b =-2
a)
4
b)
20
c)
-4
d)
12
41.
g2-3(h-g)Evaluate if g=3 and h=-2
a)
6
b)
9
c)
24
d)
5
42.
a)
17
b)
26
c)
-12
d)
-14
43.
a)
84
b)
46
c)
73
d)
81
44.
Find the GCF of 64 and 144
a)
8
b)
6
c)
16
d)
2
45.
What is the GCF of 18 and 24?
a)
3
b)
6
c)
8
d)
9
46.
What is the GCF of 4 and 12?
a)
3
b)
1
c)
6
d)
4
47.
What is the greatest factor of 28 and 49?
a)
1
b)
2
c)
7
d)
12
48.
What is the greatest factor of 28 and 49?
a)
1
b)
2
c)
7
d)
12
49.
√64
a)
3
b)
8
c)
7
d)
6
50.
√9
a)
3
b)
6
c)
4
d)
1
51.
√225
a)
15
b)
20
c)
25
d)
30
52.
√ 81
a)
8
b)
7
c)
10
d)
9
53.
√ 144
a)
4
b)
12
c)
16
d)
32
54.
√ 16
a)
132
b)
4
c)
2
d)
8
55.
√ 121
a)
10
b)
11
c)
12
d)
121
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