Free Printable Denzelle's MAth Reviewer

1.

In the expression, $6^2$ the 6 is referred to as the ...

a)

exponent

b)

power

c)

base

d)

square

2.

In the expression $-9^4$ , the 4 is referred to as the...

a)

square

b)

exponent

c)

base

d)

little number

3.

In the expression $10^0$ , the solution is

a)

1

b)

10

c)

0

d)

$\frac{1}{10}$

4.

Simplify the expression: $4^0\ +\ 3^2\ -\ 7^1$

a)

14

b)

3

c)

2

d)

1

5.

When you simplify the following number $3^{-5}$ the number that ends up in the NUMERATOR is ALWAYS

a)

1

b)

3

c)

5

d)

-5

6.

When you simplify the expression $8^{-2}$ to EXPONENTIAL form, the denominator will have a ___________ exponent.

a)

negative

b)

positive

c)

zero

d)

no exponent

7.

Simply the expression: $12^{-2}$

a)

$\frac{1}{12}$

b)

$\frac{1}{24}$

c)

$\frac{1}{144}$

d)

$\frac{1}{12^{-2}}$

8.

Any Number raised to the ZERO power will equal

a)

0

b)

the Base

c)

1

d)

the Exponent

9.

When a positive BASE is RAISED to a NEGATIVE exponent, the simplified answer will ALWAYS be...

a)

a VERY LARGE number

b)

a VERY SMALL number

c)

0

d)

1

10.

Any number raised to the POWER of ONE equals...

a)

0

b)

1

c)

the Number

d)

the exponent

11.

Simplify the expression: $3^0\ +\ 5^1\ +\ 2^{-2}$

a)

1

b)

5

c)

6

d)

6 $\frac{1}{4}$

12.

Simplify the expression: $10^2\ +\ 6^0-9^1$

a)

120

b)

102

c)

7

d)

25

13.

In $5^7$ , what do you call to 7?

a)

Base

b)

Exponent

c)

Term

d)

Index

14.

Which of the following is NOT CORRECT?

a)

$m^3\ \cdot m^4\ =\ m^{12}$

b)

$\frac{b^7}{b^3}=b^4$

c)

$\frac{h^6}{h^6}=1$

d)

$\left(g^2\right)^7=g^{14}$

15.

Simplify: $\left(y^{-7}\right)^{-3}$

a)

$y^{21}$

b)

$y^{10}$

c)

$\frac{1}{y^{21}}$

d)

$\frac{1}{y^{10}}$

16.

Simplify: $\frac{6a^{-1}}{3a^5}$

a)

$\frac{a^6}{2}$

b)

$\frac{a^5}{2}$

c)

$\frac{2}{a^5}$

d)

$\frac{2}{a^6}$

17.

Simplify: $\frac{3f^5g^{-1}}{2f^{-4}g^8}$

a)

$\frac{3g9}{2f^9}$

b)

$\frac{3f}{2g^7}$

c)

$\frac{3f^9}{2g^9}$

d)

$\frac{3g^7}{2f}$

18.

Simplify: $\frac{\left(x^{-4}\right)^2y^{-5}}{y^7}$

a)

$\frac{x^8}{y^{12}}$

b)

$\frac{y^{12}}{x^8}$

c)

$\frac{1}{x^8y^{12}}$

d)

$x^8y^{12}$

19.

Simplify: $\left(\frac{c^4d^{-1}}{3c^{-4}d^5}\right)^{-2}$

a)

$\frac{9c^{16}}{d^{12}}$

b)

$\frac{9d^{12}}{c^{16}}$

c)

$\frac{d^{12}}{9c^{16}}$

d)

$\frac{c^{16}}{9d^{12}}$

20.

Simplify: $\left(s^{-a}t^{2b}\right)^{-x}\left(s^{-3a}t^{4b}\right)^x$

a)

$\frac{t^{2bx}}{s^{2ax}}$

b)

$\frac{s^{2ax}}{t^{2bx}}$

c)

$\frac{t^{4bx}}{s^{6ax}}$

d)

$\frac{s^{4ax}}{t^{6bx}}$

21.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

22.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

23.

x + 2x

a)

2x²

b)

3x

c)

Can't be simplified

d)

3x + x

24.

x ⋅ x

a)

2x

b)

x²

c)

Neither

d)

x - x

25.

Evaluate the expression. Let c = 3 d = 2
3c + 7d

a)

27

b)

21

c)

29

d)

23

26.

Which number is the coefficient?

6f² - 9

a)

6

b)

f

c)

2

d)

9

27.

Which number is the constant?

5g³ + 2

a)

5

b)

g

c)

3

d)

2

28.

Identify the variable in the expression below.

3w + 2w - (-7w)

a)

3

b)

2

c)

w

d)

12

29.

How many terms are in the expression below:
-3c + 7d

a)

one

b)

two

c)

three

d)

four

30.

How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x

a)

five

b)

eight

c)

six

d)

nine

31.

Write the phrase as an expression:

twice a number increased by 8

a)

2 + 8x

b)

2x + 8

c)

2(x + 8)

d)

8(x + 2)

32.

eight plus triple the number of shirts
Let s = number of shirts

a)

8 + 3s

b)

8 + s

c)

3s - 8

d)

s(8 + 3)

33.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

34.

The number in front of a variable telling the mathematician how much to multiply the variable by is called the...

a)

Term

b)

Constant

c)

Coefficient

d)

Expression

35.

A number with no variable is called a...

a)

Coefficient

b)

Constant

c)

Term

d)

Expression

36.

These have the the same variable and can, therefore, be combined...

a)

Expressions

b)

Distributive Property

c)

Additive Inverse

d)

Like Terms

37.

Simplify the Expression: 5(x + 2) + 2x

a)

7x + 2

b)

7x + 10

c)

5x + 4

d)

7x + 7

38.

Expressions are made up of these...

a)

Variables

b)

Operations

c)

Terms

d)

Distributive Property

39.

k + k + k + k + k =

a)

3k

b)

4k

c)

5k

d)

6k

40.

5z - z - z -z =

a)

2z

b)

3z

c)

4z

d)

z

41.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

42.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

43.

Which of the following is an example of an algebraic expression?

a)

3(2 + 7) - 10

b)

78 - 5 + 3

c)

3x + 6y

d)

8(3) - 5 + 2

44.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

45.

A ______________ is a number multiplied by a variable.

a)

term

b)

variable

c)

coefficient

d)

numerical expression

46.

How many terms are in the given expression?
5² + 7n - 2f

a)

6

b)

5

c)

3

d)

2

47.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

48.

Simplify the expression:
4(x - 3) + 12

a)

4x - 12

b)

4x

c)

4x - 3

49.

13 + 4(2x + 5)

a)

13 + 8x

b)

8x + 33

c)

8x + 20

50.

Simplify 6(x + -2)

a)

6x + -2

b)

6x + -12

c)

4x

d)

6x - 2

51.

Simplify 5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

52.

Simplify the expression:
4x + 5 - 2x - 8

a)

6x + 3

b)

2x + 13

c)

2x - 3

d)

6x - 3

53.

Simplify the expression:
1/4(12x - 4)

a)

3x + 1

b)

48x - 16

c)

4x + 1

d)

3x - 1

54.

Simplify the expression:
3x - 5(-2 + 4x)

a)

-17x + 10

b)

23x - 10

c)

-17x - 10

d)

23x + 10

55.

What are the variables of 7x+6y-9

a)

6,7

b)

9

c)

6y, 7x

d)

x, y

56.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

57.

Simplify this expression:

-7w + (-6) + 5 + (-9w)

a)

-2w - 1

b)

-16w - 11

c)

-16w - 1

d)

-2w + 11

58.

Simplify this expression:

4.6x - 5.3x + 10.2y + 9 - 7.6

a)

0.7x + 10.2y +16.6

b)

-9.9x + (-10.2y) + 1.4

c)

-0.7x +10.2y 16.6

d)

-0.7x + 10.2y + 1.4

59.

¹/₂(8a - b +16)

a)

4a + ¹/₂b + 16

b)

8.5a + ¹/₂b + 16

c)

4a - ¹/₂b + 8

d)

4a + ¹/₂b - 8

60.

Use distributive property to expand this expression:

2w( - 4.5 - 2.7x)

a)

-9w - 2.7x

b)

2w - 4.5 - 2.7x

c)

-9w - 5.4x

d)

-9w - 5.4wx

61.

5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

62.

6(x + -2)

a)

6x + -2

b)

6x + -12

c)

4x

d)

6x - 2

63.

6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

14x + 3

d)

9 + 7x

64.

6w - 6w + 6w + 9w

a)

w

b)

15w

c)

9w

d)

6w

65.

4a + 9 + a

a)

5a + 9

b)

14a

c)

3a + 9

d)

5a - 9

66.

9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

67.

5x - 6x - 8x + 7

a)

-9x + 7

b)

10x + 7

c)

9x + 7

d)

9x - 7

68.

7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

69.

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

70.

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

71.

7d + 5 + 6d - 2

a)

16d

b)

16

c)

13d + 3

d)

13d - 7

72.

5a + 2b + 6a + 4b

a)

11a + 6b

b)

2a + 2b

c)

a + 2b

d)

-a - 2b

73.

15x-2x+12

a)

-13x+12

b)

12x+13x

c)

13-12+x

d)

13x+12

74.

4(x + 2) + 6x

a)

4x + 2 + 6x

b)

4x + 8 + 6x

c)

10x + 8

d)

10x + 2

75.

8x - 2(x + 3)

a)

6x - 6

b)

6x - 5

c)

6x + 6

d)

6x + 3

76.

When multiplying polynomials, what is the exponent law you must apply to the variables?

a)

Multiply the exponents

b)

Add the exponents

c)

Divide the exponents

d)

Subtract the exponents

77.

When dividing polynomials, what is the exponent law you must apply to the variables?

a)

Multiply the exponents

b)

Add the exponents

c)

Divide the exponents

d)

Subtract the exponents

78.

Simplify
2(4x+5)

a)

8x-10

b)

8x+10x

c)

None of the above

d)

8x+10

79.

Determine the product of (3c)(10c)

a)

13c²

b)

30c

c)

30c²

d)

13c

80.

Determine the simplified form of the expression 5(3x + 2)

a)

3x + 10

b)

15x + 10

c)

15x - 10

d)

3x - 10

81.

Select the expanded form of the expression:

(x²) (x³)

a)

x²³

b)

x⁵

c)

x⁶

d)

x⁸

82.

Simplify the expression.
2x(-2x - 3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

83.

5xy(6x-y)

a)

11x² - y²

b)

30x² + y²

c)

30x²y - 5xy²

d)

11x²y + 5x²y²

84.

Multiply the monomials: (7v³)(10u³v⁵)

a)

70u³v⁶

b)

17u³v⁸

c)

70u³v⁸

d)

70v⁵

85.

Expand 3a(5a² + 8a + 2) using the distributive property.

a)

15a³ + 24a² + 6a

b)

10a³ + 24a + 6

c)

8a³ + 11a² + 6a

d)

15a² + 24a + 6

86.

Simplify the expression. -3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

87.

A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden.

a)

6x² + 21x

b)

6x² - 21

c)

6x²- 21x

d)

5x² + 21x

88.

Write a polynomial expression for the area of the triangle. HINT: A= $\frac{b\times h}{2}$

a)

18x² - 54x

b)

9x² + 9

c)

36x² + 108x

d)

9x² + 27x

89.

Determine the quotient of 25x⁵ and 5x³

a)

5x

b)

5x⁸

c)

-5x²

d)

5x²

90.

Divide (6x²+ 12x) by 3x

a)

2x + 4

b)

2x + 4x

c)

2 + 4x

d)

2x² + 4x

91.

What type of polynomial will the quotient of the expression be:

$\frac{64x^2-16x}{4x}$

a)

Monomial

b)

Binomial

c)

Trinomial

92.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

93.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

94.

$\frac{6a^3b^2c^{4\ }-\ 8a^2b^2c}{2a^2bc}$

a)

$3abc\ -\ 4abc$

b)

$3abc^{3\ }-\ 4b$

c)

$3a^3b^2c^{4\ }-\ 4b$

d)

$3abc\ +4b$

95.

(-20x⁷y⁵) ÷ (-4x³y²)

a)

-5x⁴y³

b)

5x⁴y³

c)

5x¹⁰y⁷

d)

-5x¹⁰y⁷

96.

Which term is missing in this problem?
2x³ + 5x² + 9 ÷
x + 3

a)

x⁴

b)

x³

c)

x²

d)

x

97.

Divide using synthetic division

(2x³ + 4x² - 5) by (x + 3).

a)

2x² + 2x - 4 - 12/(x + 3)

b)

2x² - 2x + 6 - 23/(x + 3)

c)

2x² - 2x + 8 - 20/(x + 3)

d)

2x² - 4x + 1

98.

2x³ - 5x² + 3x + 7 ÷ x - 2

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/(x - 2)

d)

2x² - 9x - 15 - 23/(x - 2)

99.

The area of a rectangular pool table is: x² + 14x +40.

The length is x + 4. What is the width?

a)

x + 8

b)

x + 14

c)

x + 10

d)

x +4

100.

Decide if (x - 3) is a factor of 3x³+ 10x²- x - 12.

a)

Yes, it is a factor

b)

No, it is not a factor

101.

a)

x+7

b)

x+2

c)

X-10

d)

X-7

102.

a)

x+7

b)

y+7

c)

Y-2

d)

2y-q

103.

a)

x-12

b)

x-2

c)

2x

d)

8

104.

a)

x+1

b)

13

c)

2x-1

d)

x²+1

105.

a)

9

b)

8

c)

1

d)

7

106.

a)

x+1

b)

x+8

c)

x-9

d)

2x+1

107.

Divide

a)

(x-6)

b)

(x+8)

c)

(x-8)

d)

(x+6)

108.

Simplify the following expression using FOIL.
(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

109.

Simplify:
(3x - 5) ( 4x² - 2x - 3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

110.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

111.

(5x+2y)(x²-3xy+6)

a)

5x³- 17x²y - 6xy²-30x +12y²

b)

5x³+ 17x²y -6xy² - 30x +12y²

c)

5x³ - 13x²y -6xy² - 30x +12y²

d)

5x³ +13x²y - 6xy - 30x + 12y²

112.

Classify the following polynomial

a)

Quintic Polynomial

b)

Quartic Polynomial

c)

polynomial

113.

Classify the following polynomial

a)

quartic polynomial

b)

quadratic polynomial

c)

quartic trinomial

d)

quadratic trinomial

114.

a)

x - 7

b)

x²- 7

c)

x + 7

d)

x²+ 3x - 54

115.

Solve: p²+ 15p + 63) ÷ (p +7)

a)

(p + 8) + 7/(p +7)

b)

(p - 7) - 7/(p+7)

c)

(p + 8)

d)

(p - 8) + 7/(p+7)

Denzelle's MAth Reviewer

Total questions: 115

Worksheet time: 9hrs 5mins

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