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IM2A Unit 1 Section 1 Quiz Review (1.1-1.5)

Total questions: 77

Worksheet time: 19hrs 15mins

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 simplify?

(2x5)(6x4)

a)

MULTIPLY coefficients

MULTIPLY exponents

b)

DIVIDE coefficients

SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients

ADD exponents

5.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
6.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
7.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
8.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
9.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
10.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
11.
Simplify:
b⁴ x b⁻³ ÷ b⁻²
a)
b)
b⁻³
c)
b⁵
d)
b⁻¹
12.

Simplify the expression.

a)

8ac

b)

-24abc

c)

-8ac

d)

-8abc

e)

8a9b6c3

13.

(9n4)(6n7)

a)

54n11

b)

15n11

c)

15n28

d)

54n28

14.

Simplify

a)

-6c

b)

6c5

c)

15c5

d)

15c

15.

Simplify the following expression:

a)

14x6

b)

14x3

c)

9x3

d)

9x6

16.
Simplify the following:
(x3)6
a)
x9
b)
x18
c)
x6
d)
x3
17.
Simplify the following:
x2x3
a)
x3
b)
x2
c)
x6
d)
X5
18.
Simplify:
9⋅ 94 = 912
a)
True 
b)
False 
19.
3.) Simplify
(45x6y2) / (5x4y9)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
20.
Simplify: 
(a4b19c21d-14)0
a)
1
b)
0
c)
a4b19c21d-14
d)
a-4b-19c-21d14
21.
Classify this polynomial by its degree and number of terms:  x2 + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic binomial
22.
Classify this polynomial by its degree and number of terms:  x3 + 2x + 6
a)
Cubic polynomial
b)
Quadratic binomial
c)
Quadratic trinomial
d)
Cubic trinomial
23.

Classify this polynomial by its degree and number of terms: 8

a)

Constant polynomial

b)

Linear monomial

c)

Constant monomial

d)

Linear monomial with 0 terms

24.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x+ 3x +1
b)
-2x- 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
25.

Simplify (2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

26.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x+ 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
27.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
28.
What is the standard form of the polynomial,
7x - 125 - 6x4 + 14x2
a)
125 + 7x - 14x2 +6x4
b)
6x4  -14x2 - 7x +125
c)
125 + 14x2 + 7x  - 6x4
d)
-6x4+ 14x2 + 7x - 125
29.
Which expression represents the perimeter of the triangle?
a)
8xy + 3
b)
5x + y + 3
c)
5x + 4y + 3
d)
6x + 3y + 3
30.
Solve the following problem.
(9x + 17) + (19x - 27)
a)
28x + 44
b)
28x - 10
c)
-28x + 10
d)
-171x - 459
31.
Solve the following problem.
(3x - 4) + (12x + 10)
a)
x - 12
b)
15x + 6
c)
36x + 40
d)
17x + 9,000
32.

Find the Sum

(5x + 2) + (4x + 5)

a)

9x – 7

b)

-9x–11

c)

9x+7

33.
Solve the following problem.
(13x + 30) - (20x + 6)
a)
-7x + 24
b)
-33x - 42
c)
133x + 36
d)
260x + 180
34.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x- x
b)
4x+ 2x
c)
3x2 + 3x
d)
3x2 + 2x
35.

Solve the following problem.

(7x2 +3x + 10) - (4x2+ 2x + 6)

a)

3x2 -5x + 16

b)

11x2 + 5x + 16

c)

3x2 + x + 4

d)

7x2 + x + 6

36.

Solve the following problem.

(4x2 +10x - 8) - (2x2 - 2x + 6)

a)

2x2 +8x - 2

b)

6x2 -12x - 14

c)

2x2 + 12x -14

d)

6x2 + 8x + 2

37.

Find the sum.

(12x2 - 8x + 12) +

(x2 + 6x + 3)

a)

12x2 + 2x + 12

b)

13x2 - 2x + 15

c)

12x2 - 2x + 15

d)

11x2 - 14x + 15

38.

Classify this polynomial by its degree and number of terms: 4x3

a)

Cubic monomial

b)

Linear binomial

c)

Cubic binomial

d)

6th degree (sextic) monomial

39.

9x4

a)

Quadratic polynomial

b)

Quartic monomial

c)

Quadratic monomial

d)

Cubic monomial

40.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
41.
Classify by degree of polynomial:
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
42.
Classify by degree of polynomial:
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
43.
Classify by number of terms:
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
44.
Classify:
2x⁴+14x³−2x²
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
45.
When a polynomial is written in standard form, the coefficient of the first term is called the _____________.
a)
Boss coefficient
b)
Leading coefficient
c)
Best coefficient
d)
Greatest common coefficient
46.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
a)
True
b)
False
47.

The following polynomial is written in standard form:

x2 - 10x+ 8x - 5

a)

True

b)

False

48.
Which of the following is a 5th degree trinomial with a leading coefficient of -2? 
a)
-2x5 + 3x - 1
b)
5x-2 +3x - 1
c)
-2x5 + 3x4 + 2x3 + x2 - 10
d)
2x + 5
49.
What is the leading coefficient? 
f(x)=5x²+3x³-2x+1
a)
5
b)
3
c)
-2
d)
1
50.

What is the Degree of the Polynomial?

5x3 - 6x + 1

a)

Linear

b)

Quadratic

c)

Cubic

d)

Quartic

51.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
52.

Simplify:  3x(x+7)3x\left(x+7\right)  

a)

 3x2+21x3x^2+21x  

b)

 3x+213x+21  

c)

 3x2+73x^2+7  

53.

Simplify:  x2(2x+3)x^2\left(2x+3\right)  

a)

 2x3+3x22x^3+3x^2  

b)

 2x2+3x2x^2+3x  

c)

 2x3+9x2x^3+9x  

54.

Simplify:  5xy(6xy)5xy\left(6x-y\right)  

a)

 30x25y230x^2-5y^2  

b)

 30x2y5xy230x^2y-5xy^2  

c)

 30xy5xy30xy-5xy  

55.

Simplify:  3a(5a2+8a+2)3a\left(5a^2+8a+2\right)  

a)

 15a3+24a+615a^3+24a+6  

b)

 15a2+24a+615a^2+24a+6  

c)

 15a3+24a2+6a15a^3+24a^2+6a  

56.

Simplify:  5x(4x3+8)4x5x\left(4x^3+8\right)-4x  

a)

 20x4+36x20x^4+36x  

b)

 20x436x20x^4-36x  

c)

 20x3+40x4x20x^3+40x-4x  

57.

Simplify:  3x2(7x2x+4)-3x^2\left(7x^2-x+4\right)  

a)

 21x33x2+1221x^3-3x^2+12  

b)

 21x4+3x312x2-21x^4+3x^3-12x^2  

c)

 21x412x3+3x221x^4-12x^3+3x^2  

58.

Simplify:  6h(5h22hz4z2)6h\left(5h^2-2hz-4z^2\right)  

a)

 30h312h2z24hz230h^3-12h^2z-24hz^2  

b)

 30h312h224h30h^3-12h^2-24h  

c)

 30h212hz24z230h^2-12hz-24z^2  

59.

Simplify:  4k2(6k2+9kn5n2)4k^2\left(6k^2+9kn-5n^2\right)  

a)

 24k4+36k3n20k2n224k^4+36k^3n-20k^2n^2  

b)

 24k2+36kn20n224k^2+36kn-20n^2  

c)

 24k2+36k320n224k^2+36k^3-20n^2  

60.
Find the product:
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
61.
Multiply:
(3x – 1)(x + 5) 
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
62.
a)
A
b)
B
c)
C
d)
D
63.
a)
A
b)
B
c)
C
d)
D
64.
Which set of binomials matches the following trinomial? *Multiply each binomial to see which one matches
x2 + 5x + 4
a)
(x + 1)(x + 5)
b)
(x + 1) (x - 4)
c)
(x + 1) (x + 4)
65.
Which set of binomials matches the trinomial
2x2 - 7x - 4
a)
(x + 4)(2x + 1)
b)
(2x + 1)(x - 4)
c)
(x + 4)(x + 7)
d)
(2x - 1)(x - 5)
66.

 (x + y)2\left(x\ +\ y\right)^2  

a)

 x2 + y2x^2\ +\ y^2  

b)

 x2 + 2xy +y2x^2\ +\ 2xy\ +y^2  

c)

 x22xy + y2x^2-2xy\ +\ y^2  

d)

none of these

67.

 (x + 3)2\left(x\ +\ 3\right)^2  

a)

 x2 + 3x + 15x^2\ +\ 3x\ +\ 15  

b)

 x2 + 9x^2\ +\ 9  

c)

 x2 6x + 9x^2\ -6x\ +\ 9  

d)

 x2 + 6x +9x^2\ +\ 6x\ +9  

68.

 (2x + 1)2\left(2x\ +\ 1\right)^2  

a)

 4x2 +14x^2\ +1  

b)

 2x2 + 2x + 12x^2\ +\ 2x\ +\ 1  

c)

 4x2 + 4x +14x^2\ +\ 4x\ +1  

d)

 4x2 + 2x + 14x^2\ +\ 2x\ +\ 1  

69.

Find (5p  6q)2\left(5p\ -\ 6q\right)^2   

a)

 25p260pq+36q225p^2-60pq+36q^2  

b)

 25p2+60pq+36q225p^2+60pq+36q^2  

c)

 25p230pq+36q225p^2-30pq+36q^2  

70.

Find (7m2p)2\left(7m-2p\right)^2   

a)

 7m228mp+2p27m^2-28mp+2p^2  

b)

 49m228mp+4p249m^2-28mp+4p^2  

c)

 7m214mp+2p27m^2-14mp+2p^2  

71.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
72.
(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
73.
(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
74.
Which expression below is equivalent to (-2x2 + 4x + 4)(3x - 5)?
a)
 -6x3 + 12x2 + 15x – 5
b)
 -6x3 + 22x2 + 32x – 20
c)
. -6x3 + 2x2 – 8x – 5
d)
 -6x33 + 22x2 - 8x – 20
75.

When is the Unit 1 Section 1 Quiz?

a)

Friday, 10/1

b)

Today

c)

Monday, 10/4

d)

Sometime in November

76.

Which of these is not an integer?

a)

2.5

b)

-6

c)

5347

d)

12/6

77.

Which of these numbers is not a perfect square?

a)

225

b)

196

c)

169

d)

200