WorksheetsAlgebra 1 Sem2 Final Review
Total questions: 29
Worksheet time: 2hrs 38mins
Name
Class
Date
1.
What is the term classification of the following polynomial?
x³-7x²+3
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
2.
Which is an example of a linear polynomial?
a)
x²-5
b)
6x+4
c)
5x⁵
d)
2x³-9x²
3.
What is the leading coefficient of the following polynomial?
5x²-3x+6
5x²-3x+6
a)
2
b)
-3
c)
5
d)
6
4.
Find the sum.
(3 - 2x + 2x2) + (4x - 5 + 3x2)
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
5.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
6.
Simplify:
2x ( -2x -3)
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
7.
Classify the polynomial and give the degree:
5x3y2
5x3y2
a)
Monomial, 3
b)
Uninomial, 3
c)
Uninomial, 5
d)
Monomial, 5
8.
What is the GCF in this polynomial?
3x²+6x-18
3x²+6x-18
a)
2
b)
3
c)
6
d)
18
9.
Factor completely.
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)
10.
Factor completely: x2-6x+8
a)
(x-2)(x-4)
b)
(x-1)(x-8)
c)
(x+2)(x+4)
d)
(x+1)(x+8)
11.
Factor completely: x2-13x+40
a)
(x-5)(x-8)
b)
(x+5)(x+8)
c)
(x-4)(x-10)
d)
(x-2)(x-20)
12.
Factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
13.
Factor out the GCF:
12x + 6
12x + 6
a)
6(2x + 1)
b)
3(4x + 2)
c)
6x(2x + 1)
d)
2(6x + 3)
14.
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
15.
Factor out the GCF:
10x³ - 15x
10x³ - 15x
a)
x(10x² - 15)
b)
5x(2x² - 3)
c)
5(2x³ - 3x)
d)
5x²(10x - 3)
16.
Solve
a2 + 2a - 24 = 0
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
17.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
18.
Find the zeros of the equation:
(x+10)(x-2) = 0
(x+10)(x-2) = 0
a)
10 and 2
b)
-2 and 10
c)
-10 and 2
d)
-2 and -10
19.
Solve using Zero-Product Property
(x-11)(5x+1) = 0
(x-11)(5x+1) = 0
a)
x = 11 or x = -1/5
b)
x = -11 or x = -1/5
c)
x = 11 or x = 1/5
d)
x = -11 or x = 1/5
20.
What are the solutions/zeros/x-intercepts/roots?
(When does this quadratic =0?)
SELECT ALL THAT APPLY
a)
x = -4
b)
x = -1
c)
x = 0
d)
x = 2
21.
Simplify the following radical: √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
22.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
23.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
24.
Simplify:
6√2 ⋅5√14
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
25.
a)
A
b)
B
c)
C
d)
D
26.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
27.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
28.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
29.
What is the vertex?
a)
(5,2)
b)
(2,5)
c)
(-2,5)
d)
(-5,2)
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