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Algebra DR Unit 1 Test Prep

Total questions: 70

Worksheet time: 2hrs 14mins

Name
Class
Date
1.
9 x 2 = 2 x 9
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Multiplicative Inverse Property
d)
Distributive Property
2.
(2 + 3) + 4 = (3 + 2) + 4
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Commutative Property of Addition
d)
Associative Property of Addition
3.
This property tells us that when we change the order of numbers when we are adding, the answer does not change.  
a)
Commutative Addition
b)
Commutative Multiplication
c)
Associative Addition
d)
Associative Multiplication
4.
This property tells us that you can move the parentheses when you are multiplying and the answer will not change. 
a)
Associative Addition 
b)
Associative Multiplication
c)
Commutative Addition 
d)
Commutative Multiplication 
5.

Which property of addition is used in the following ?

(7 + 4) + 2 = 7 + (4 + 2)

a)
Identity Property
b)
Commutative Property
c)
Associative Property
d)
Distributive Property
6.
Which of the following is an example of Commutative Property of Addition ?
a)
4 + 2 = 7 + 4
b)
(9 + 8) + 5 = 9 + (8 + 5)
c)
3 + 9 = 9 + 3
d)
6 x 1 = 6
7.
Which equation shows the Commutative Property of Multiplication ?
a)
7 x 3 = 7 + 7 + 7
b)
8 x 1 = 8
c)
3x6 - 4x6 = (3-4)x6
d)
5 x 2 = 2 x 5
8.
Which is an example of Associative Property of Addition ?
a)
4 + 0 = 4
b)
6 + (-6) = 0
c)
(3 + 8) + 5 = 3 + (8 + 5)
d)
7 + 3 = 3 + 7
9.
If 2x - 5 = 10, then 2x = 15.
a)
Subtraction Property of Equality
b)
Addition Property of Equality
c)
Division Property of Equality
d)
Substitution
10.

What property would I use to solve this equation?

7 + x = 14

a)

Multiplication Property

b)

Subtraction Property of Equality

c)

Division Property

d)

Addition Property of Equality

11.
90 - 52 x 3
a)
15
b)
240
c)
195
12.
15 x 19 + 18 ÷ 6 = 
a)
250
b)
199
c)
400
d)
288
13.

6 + ( 21.2. x 3) ÷ 4 =

a)

21.9

b)

17.4

c)

22.4

d)

7.4

14.

6 + 32 x 4 - 22 ÷ 4 =

a)

51

b)

41

c)

14

d)

18

15.
A fraction is which type of number?
a)
Rational
b)
Irrational
16.
Which number is a rational number?
a)
2.25
b)
-8.78654684598.....
c)
Square root of 99
d)
3.14...
17.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
18.
A repeating decimal is what type of number?
a)
Rational 
b)
Irrational
19.

A never ending, never repeating decimal is which type of number?

a)

Rational

b)

Irrational

20.

Which result will be Rational?

a)

3.16 + π

b)

2.6̅3 − √5

c)

√8 ⋅ √2

d)

√5 ⋅ √4

21.

 5 +36 simplifies to5\ +\sqrt{36}\ simplifies\ to  

a)

Rational 

b)

Irrational

22.

 13 ⋅ 2 simplifies to a \frac{1}{3}\ \cdot\ \sqrt{2}\ simplifies\ to\ a\   

a)

rational number

b)

Irrational Number

23.

 13 + 35\frac{1}{3}\ +\ \frac{3}{5}  simplifies to a

a)

Rational Number 

b)

Irrational Number

24.
Multiply.
3x2 ⋅ 2x3
a)
5x5
b)
6x6
c)
5x5
d)
6x5
25.
Multiply.
(4x)(3x3)(x3)
a)
7x9
b)
12x10
c)
12x7
d)
7x7
26.
When you multiply like bases, you ______ the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
27.
Multiply.
(x2)3 ⋅ 3x3
a)
3x8
b)
3x18
c)
9x9
d)
3x9
28.
a)
12u5v6
b)
7u5v6
c)
12u6v8
d)
7u6v8
29.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
30.
a)
m14n22
b)
m13n22
c)
m9n13
d)
8m14n22
31.
a)
81x12y4
b)
12x12y4
c)
12x7y5
d)
81x7y5
32.
a)
11^5
b)
(-11)^5
c)
(-11)^9
d)
(-11)^14
33.
Fill in the blanks:
When multiplying like bases you __________ the exponents.
When dividing like bases you _________the exponents.
When a power is raised to a power you ________the exponents.
a)
multiply, divide, add
b)
add, divide, multiply
c)
multiply, subtract, add
d)
add, subtract, multiply
34.
Anything raised to the zero power equals
a)
0
b)
1
c)
Itself (a^0 = a)
35.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
36.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
37.
a)
2a2b6
b)
1/(2a2b6)
c)
b6/2a2
d)
2b6/a2
38.
Simplify:
a)
9a6
b)
9a5
c)
64a6
d)
6a5
39.

Simplify. Express using exponents.

a)

80

b)

81

c)

88

d)

86

40.

Simplify. Express using exponents.

a)

6y5

b)

9y5

c)

16y5

d)

9y6

41.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
42.

X2 can be combined with X

a)

True

b)

False

43.

Simplify the expression:


3x2 - x + 7 + 5x + 2 - 2x2

a)

x2 + 4x + 9

b)

5x2 + 9

c)

15

d)

15x

44.

Simplify the Expression:


3x2y + 4x - 6y + 4x2y -2y

a)

11x2y - 8y

b)

3y

c)

7x2y - 4y

d)

7x2y + 4x - 8y

45.

2xy can be combined with 3xy2

a)

True

b)

False

46.

x2 can be combined with 2x2

a)

True

b)

False

47.

Simplify the Expression:


7x2 - 3a +20 - 4x2 + 2a

a)

11x2 - a + 20

b)

3x2 - a + 20

c)

2a + 20

d)

3x2 - a

48.
-4(-4d - 5)
a)
-16d+20
b)
16+20
c)
16d+20
d)
16s-20
49.
Distribute: 
-3(a + b - c)
a)
-3a + 3b - 3c
b)
-3a - 3b + 3c
c)
-a - b + c
d)
-3a + 3b + 3c
50.

2w2(4 + 9w)

a)

8w+18w2

b)

8+18w

c)

8w2+18w3

d)

8w+18w2

51.

-8x(6x2 + 3)

a)

-48x+24

b)

-48x-24

c)

-48x2-24x

d)

-48x3-24x

52.
Simplify the following expression:
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
53.

What is a Monomial?

a)

A Polynomial consisting of 3 terms.

b)

A Polynomial consisting of one term.

c)

3xy3

d)

3yz+5yz5

54.

What is the standard form for a Polynomial?

a)

Degrees must drop from left to right. Like terms must be combined.

b)

Degrees drop from right to left. Like terms do not have to be combined.

c)

3x8+ 4x5

d)

3x2+3x3

55.

How do you find the degree of a Polynomial?

a)

Start by finding the degree of each term in the Polynomial. The degree is all the the exponents added together in a single term. After finding the degree of each term determine which term in the polynomial has the highest degree and that is the degree of the polynomial.

b)

Find the degree of each term. Take the lowest degree out of the terms to determine the degree of the whole polynomial.

c)

3x4

d)

You cannot find the degree of a polynomial.

56.

What is a leading coefficient?

a)

The coefficient that is non-existent.

b)

The coefficient of the term with the lowest degree.

c)

The coefficient of the term with the highest degree.

57.

How do you add polynomials?

a)

1)subract

2)multiply

3)divide

b)

1) Rewrite to remove parenthesis.

2)Identify and group like terms.

3)Combine like terms

c)

It is impossible to add polynamials.

58.

How do you subtract polynomials?

a)

Distribute -1 throughout. Then continue with the same procedure for adding.

b)

(3y-4y)

c)

Distribute 1 thoughout. Then do same procedure for substraction.

d)

None of the above.

59.

How to multiply a monomial by a polynomial?

a)

Remove all variables in the polynomial then multiply.

b)

Combining like terms

c)

A single term polynomial.

d)

Distribute the monomial throughout the polynomial.

60.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
61.
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
62.
Simplify the expression:
(3x4 - 4 - 5x2) - (1 - x2 + 2x3)
a)
3x4 - 2x3 - 4x2 - 5
b)
3x4 - 7x3 - 4x2 - 5
c)
3x4 - 7x3 - 4x2 - 4
d)
3x4 - 5x3 - 4x2 - 4
63.
Simplify the expression:
(p3 - 6p4 + 1) - (8p4 - 8p3 + 7)
a)
-14p4 + 9p3 - 6
b)
-14p4 + 9p3 + 6
c)
-14p4 + 9p3 - 1
d)
-15p4 + 9p3 + 6
64.
Find the product:
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
65.
 Multiply:     (r + 7)(r − 7) 
a)
r 2 − 49 
b)
r 2 + 14
c)
r 2 − 7r + 49 
66.
a)
A
b)
B
c)
C
d)
D
67.
Simplify:
(x - 9)(x - 7)
a)
x2 - 2x - 63
b)
x2 - 16x - 63
c)
x2 - 2x + 63
d)
x2 - 16x + 63
68.
(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
69.
(4a + 2)(6a2 − a + 2)
a)
24a3 + 16a2 + 6a + 4
b)
24a3 + 8a2 + 10a + 4
c)
24a3 + 8a2 + 6a + 4
d)
24a3 - 8a2 - 6a + 4
70.
(n2 + 6n − 4)(2n − 4)
a)
2n3 + 16n2 − 32n + 16
b)
2n3 + 8n2 − 32n + 16
c)
2n3 + 8n2 − 12n + 16
d)
2n3 + 8n2 − 32n - 16

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