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Algebra 1: 7.1-7.5 Review

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

Classify by number of terms:

3x3 – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

2.
Classify by degree of polynomial:
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
3.
Classify by number of terms:
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
4.
Classify by degree of polynomial:
3x2 – 8x + 1
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
5.
Classify by degree of polynomial:
12
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
6.
Classify by degree of polynomial:
9x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
7.
Classify by number of terms:
7x3 – 8x2 -4x+ 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
8.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
9.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
10.
(4a + 6ab - b) + (-2a - ab + 3b)
a)
2a + 7ab + 2b
b)
6a + 5ab - 2b
c)
6a + 7ab + 4b
d)
2a + 5ab + 2b
11.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x- x
b)
4x+ 2x
c)
3x2 + 3x
d)
3x2 + 2x
12.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
13.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
14.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
15.
(x - 5)(x + 1)
a)
x2 - 4x - 5
b)
x2 + 6x - 5
c)
x2 - 5x - 4
d)
x2 - 4x - 4
16.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
17.
(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
18.

 Simplify.  (x+4)2Simplify.\ \ \left(x+4\right)^2  

a)

 x2+8x^2+8  

b)

 x2+8x+16x^2+8x+16  

c)

 4x2+4x+164x^2+4x+16  

d)

 4x2+4x+84x^2+4x+8  

19.

 Simplify.  (6x4)2Simplify.\ \ \left(6x-4\right)^2  

a)

 36x224x+1636x^2-24x+16  

b)

 24x224x1624x^2-24x-16  

c)

 6x224x166x^2-24x-16  

d)

 36x248x+1636x^2-48x+16  

20.

  Simplify.  (3xy)(3x+y)Simplify.\ \ \left(3x-y\right)\left(3x+y\right)  

a)

 9x2y29x^2-y^2  

b)

 9x2+y29x^2+y^2  

c)

 9x26xyy29x^2-6xy-y^2  

d)

 6x26xy+y26x^2-6xy+y^2  

21.

 Simplify. (4a3y)2Simplify.\ \left(4a-3y\right)^2  

a)

 16a212ay+9y216a^2-12ay+9y^2  

b)

 16a29y216a^2-9y^2  

c)

 16a224ay+9y216a^2-24ay+9y^2  

d)

 16a2+9y216a^2+9y^2  

22.
Solve for the values of x:
(2x - 1)(x + 4) = 0
a)
{ 1/2, -4 }
b)
 { 1/2, 4 }
c)
{ 2, -4 }
d)
{ -2, 4 }
23.
Solve for the values of x:
(x - 5)(x - 1) = 0
a)
{ 5, 1 }
b)
{ 5, -1 }
c)
{ -5, 1 }
d)
{ -5, -1 }
24.
What is the name of this property?
a)
Zero Exponent Property
b)
Zero Product Property
c)
Commutative Property
d)
Zero Sum Property
25.
Solve (2x -8) (x + 5) = 0 
a)
x = 5, x = 8
b)
x= -4, x = 5
c)
x= 4, x = -5
d)
x= -5, x = -8