Free Printable B2A2 Chapter 5 Test Review

1.

Name the exponent in 2³

a)

2

b)

3

c)

6

d)

8

2.

Name the base in 2³

a)

2

b)

3

c)

6

d)

8

3.

Write 3 x 3 x 3 x 3 x 3 in exponential form.

a)

3³

b)

3⁴

c)

3⁵

d)

5³

4.

Write the expanded form of 6².

a)

2

b)

6

c)

6x6

d)

12

5.

Evaluate 2⁴.

a)

6

b)

8

c)

12

d)

16

6.

Which problems are correct?
a. 3²= 6
b. 5³= 15
c. 8²= 64
d. 4³= 64

a)

I agree with a, c and d

b)

I agree with c and d only

c)

I disagree with all of them

d)

I agree with a, b, and c

7.

Find the value of m² – 15 when m = 8. (Remember to use substitution and evaluate the exponent first.

a)

12

b)

32

c)

49

d)

32

8.

Find the value of n² + 7 when n = 3. (Remember to use substitution and evaluate the exponent first.

a)

16

b)

17

c)

44

d)

11

9.

Find the value of 4 + b² when b = 3. (Remember to use substitution and evaluate the exponent first.

a)

10

b)

12

c)

13

d)

11

10.

Evaluate a²+ a, when a = 3.

a)

6

b)

9

c)

12

d)

27

11.

Evaluate x²- 6, when x = 5.

a)

1

b)

4

c)

16

d)

19

12.

Which expression is greater: 5³ or 5x3?

a)

5³

b)

5 x 3

c)

They are equal.

d)

The answer cannot be determined.

13.

Simplify

c¹² ∗ c¹³

a)

c²⁵

b)

c¹⁵⁶

c)

c¹²³

d)

2c²⁵

14.

Simplify

(v⁵)(v⁵)

a)

v¹⁰

b)

v²⁵

c)

2v¹⁰

d)

2v²⁵

15.

In order to multiply terms with the same base, we add their exponents.

a)

True

b)

False

16.

Simplify

2x³ ∗ 4x⁵

a)

8x⁸

b)

6x⁸

c)

6x¹⁵

d)

8x¹⁵

17.

Simplify

x ∗ x

a)

x²

b)

2x

c)

2x²

d)

x

18.

Simplify

-4m² ∗ m²

a)

-4m⁴

b)

-3m⁴

c)

-3m²

19.

Simplify

(9h)(-4h)

a)

-36h²

b)

-36h

c)

5h

d)

5h²

20.

Simplify

4 ∗ x

a)

4x

b)

4x²

c)

x²

d)

4

21.

Simplify

-10k² ∗ k

a)

-10k³

b)

-10k²

c)

-9k³

d)

-9k²

22.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

23.

Simplify the expression.
(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

24.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

25.

Simplify the following expression:

(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

26.

Simplify the following expression:

(b³)⁸

a)

b¹¹

b)

8b³

c)

b²⁴

d)

24b

27.

Which of the following expressions is equivalent to (2x)³ ?

a)

(2x)(2x)(2x)

b)

2(x)(x)(x)

c)

2x + 2x + 2x

d)

2x⋅3

28.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

29.

Simplify the expression

$\left(3^2\right)^3$

a)

$3^6$

b)

$3^9$

c)

$3^5$

30.

Simplify the expression

$\left(\left(9.2\right)^3\right)^7$

a)

$9.2^{10}$

b)

$9.2^{21}$

31.

Simplify the expression

$\left(\left(-2w\right)^2\right)^3$

a)

$64w^6$

b)

$64w^5$

c)

$-64w^6$

d)

$-64w^5$

32.

Simplify the expression

$16\left(\frac{1}{2}n\right)^5$

a)

$8^5n^5$

b)

$\left(\frac{1}{2}\right)^5n^5$

c)

$\frac{1}{2}n^5$

33.

Simplify the expression
$6\left(\frac{1}{3}j\right)^4$

a)

$\frac{2}{3}j^4$

b)

$\left(\frac{1}{3}\right)^4j^4$

c)

$2^4j^4$

34.

BE CAREFUL!

Simplify
$\left(x^4\right)\left(x^4\right)$

a)

$x^8$

b)

$x^{16}$

35.

BE CAREFUL!

Simplify
$\left(x^4\right)^4$

a)

$x^8$

b)

$x^{16}$

36.

Which option follows the product of a power rule for exponents with the same base?

a)

(9²)(9¹) = 9³

b)

(9²)(9¹) = 9¹

c)

(9²)(9¹) = 9²

37.

Which option follows the product of a power rule for exponents with the same base?

a)

(e⁴)(e¹) = e⁴

b)

(e⁴)(e¹) = e³

c)

(e⁴)(e¹) = e⁵

38.

(4⋅7³)⁵

a)

4⁵⋅7⁸

b)

4⁵⋅7¹⁵

c)

4⋅7⁸

d)

4⋅7¹⁵

39.

Simplify
(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

40.

Simplify: (4x⁵)²

a)

16x¹⁰

b)

8x¹⁰

c)

16x⁷

d)

8x⁷

41.

(t^-6)^-5

a)

t^-11

b)

t^-30

c)

t³⁰

d)

t¹¹

42.

Simplify:
(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

43.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

44.

(ab)²

a)

ab²

b)

a²b²

c)

a²b

45.

(9xyz)⁸

a)

72xyz⁸

b)

72x⁸y⁸z⁸

c)

9⁸x⁸y⁸z⁸

d)

9/xyz⁸

46.

Simplify: (3x²)³

a)

27x⁶

b)

9x⁶

c)

3x⁶

d)

9x⁵

47.

Simplify:
(5ab²)²

a)

25a²b⁴

b)

10a²b⁴

c)

5a²b⁴

d)

25ab²

48.

Simplify (-3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

-9x⁸y¹⁰

49.

Simplify:
(7y⁴)²

a)

7y⁶

b)

14y⁸

c)

14y⁶

d)

49y⁸

50.

Division Law states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

51.

True or False?

a)

True

b)

False

52.

3.) Simplify

(45x⁶y⁹) ÷ (5x⁴y²)

a)

9x²y⁷

b)

40x²y⁷

c)

9x²/y⁷

d)

9x¹⁰y¹¹

53.

Which of the following is the correct way to simplify this expression?
$\left(\frac{a^m}{b^n}\right)^p$

a)

$\frac{a^{m\cdot p}}{b^{n\cdot p}}$

b)

$\frac{a^m+a^p}{b^n+b^p}$

c)

$a^{m\cdot p}\ b^{n\cdot p}$

54.

What's our "shortcut" for thinking of this property?
$\left(\frac{a^m}{b^n}\right)^{p\ }=\ \frac{a^{mp}}{b^{np}}$

a)

It's like "distributing" the power to each part of the top and bottom

b)

We subtract m and n, then multiply by p

c)

We exponent-ize everything

55.

Simplify the following:
$\left(\frac{x^2}{y^3}\right)^4$

a)

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

b)

$\frac{x^6}{y^7}$

c)

$x^8y^{12}$

56.

Simplify the following:
$\left(\frac{x^2y}{z^3}\right)^5$

a)

$\frac{x^{10}y^5}{z^{15}}$

b)

$\frac{x^{10}y}{z^{15}}$

c)

$\frac{x^{10}y}{z^3}$

57.

Simplify the following:
$\left(\frac{3x^3}{5y}\right)^2$

a)

$\frac{9x^6}{25y^2}$

b)

$\frac{9x^3}{25y}$

c)

$\frac{9x^6}{5y}$

58.

Simplify the following:
$\left(\frac{h^7}{4}\right)^3$

a)

$\frac{h^{21}}{4^3}$

b)

$64h^{21}$

c)

$\frac{h^{21}}{4}$

59.

$\left(\frac{2}{5}\right)^2$

a)

$\frac{1}{4}$

b)

$\frac{4}{25}$

c)

$\frac{4}{10}$

d)

$\frac{2}{13}$

60.

$\left(\frac{xy^3}{z^4}\right)^2$

a)

$\frac{xy^6}{z^8}$

b)

$\frac{x^2y^9}{z^{16}}$

c)

$\frac{x^2y^6}{z^8}$

d)

$\frac{xy^9}{z^{16}}$

61.

$\left(\frac{a^2b^3}{c}\right)^3$

a)

$\frac{a^6b^9}{c}$

b)

$\frac{a^6b^9}{c^3}$

c)

$\frac{a^8b^{27}}{c}$

d)

$\frac{a^5b^6}{c^4}$

62.

$\left(\frac{a^4}{b^3}\right)^{-2}$

a)

$\frac{b^6}{a^8}$

b)

$\frac{b^9}{a^{16}}$

c)

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

d)

$\frac{a^8}{b^6}$

63.

Simplify: $\left(\frac{x^{-3}}{x^{-4}}\right)^4$

a)

$\frac{x^{16}}{x^{12}}$

b)

$\frac{x^1}{1}$

c)

$\frac{1}{x^4}$

d)

$x^4$

64.

Simplify: $\left(\frac{5}{6m^2}\right)^{-3}$

a)

$\frac{125}{216m^6}$

b)

$m^6$

c)

$\frac{18m^6}{15}$

d)

$\frac{216m^6}{125}$

65.

Simplify:

\left(\frac{a^2b^3}{a^5b^{-1}}\right)^{-4}

a)

$-\left(\frac{a^{12}}{b^{16}}\right)$

b)

$\frac{a^{12}}{b^{16}}$

c)

$\frac{b^{16}}{a^{12}}$

d)

$\frac{b^4}{a}$

66.

Simplify: $\left(\frac{3x^2y^{-5}}{5x}\right)^2$

a)

$\frac{9x^2}{25y^3}$

b)

$\frac{9x^4}{25x^2y^{10}}$

c)

$\frac{9x^2}{25y^{10}}$

d)

$\frac{6x^2}{10y^{10}}$

67.

Simplify: $\left(\frac{2a^{-3}b^4}{5a^7c^3}\right)^{-1}$

a)

$\frac{5c^3}{2a^{10}b^4}$

b)

$\frac{2a^4b^4}{5c^3}$

c)

$\frac{5c^3}{2a^4b^4}$

d)

$\frac{5a^{10}c^3}{2b^4}$

68.

Simplify: $\left(\frac{3x^2y^3}{6x^5}\right)^3$

a)

$\frac{27y^9}{216x^9}$

b)

$\frac{216x^9}{27y^9}$

c)

$\frac{9x^6y^9}{18x^{15}}$

d)

$\frac{9x^5y^6}{18x^8}$

69.

Simplify 10⁰

a)

10

b)

1

c)

0

d)

100

70.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

71.

Simplify (-4x)⁰

a)

-4

b)

-4x

c)

-1

d)

1

e)

0

72.

12⁰ ∙ 12⁰

a)

0

b)

1

c)

12

d)

2

73.

3 ∙ 3⁰ ∙ 3³

a)

81

b)

3

c)

27

d)

1

74.

-9⁰

a)

1

b)

-1

c)

-9

d)

9

75.

(-9)⁰

a)

-9

b)

-1

c)

1

d)

9

76.

(xy)⁰

a)

xy

b)

x

c)

1

d)

0

77.

xy⁰

a)

xy

b)

x

c)

1

d)

0

78.

(-2)⁰ + (8)⁰

a)

2

b)

0

c)

10

d)

6

79.

7m⁰-(6m)⁰

a)

6

b)

1

c)

0

d)

1m

80.

Simplify the expression.

9 + (3xyz)⁰ - 10

a)

Cannot Be Simplified

b)

-1

c)

0

d)

2xyz

81.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

82.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

83.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

84.

What is the degree of this polynomial?

2x⁴- 3x⁵+ x

a)

-3

b)

2

c)

4

d)

5

85.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

86.

What is the coefficient of this term?

9x³

a)

None

b)

9

c)

3

d)

x

87.

Classify by number of terms:

5x² – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

88.

Simplify the Expression:

3x + 6 - 2x +7

a)

14

b)

14x

c)

x + 13

d)

x - 13

89.

What is the the DEGREE:

4x³ - 5x² + 2x - 1

a)

1

b)

2

c)

3

d)

4

90.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

91.

What are like terms?
Terms that have....

a)

the same variables

b)

the same exponents

c)

the same coefficients

d)

the same variables and exponents

92.

The number in front of the variable is called the....

a)

exponent

b)

base

c)

coefficient

d)

fronter

93.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

94.

Simplify this polynomial:

n - 10 + 9n - 3

a)

-3

b)

9n - 3

c)

n

d)

10n - 13

95.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

96.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

97.

Simplify this polynomial:

3x²- x + 2 - 5x²+ 8x - 5

a)

8x²+ 9x + 7

b)

-2x²+ 7x - 3

c)

2x²+ 7x - 3

d)

5x²- 3

98.

Classify:
2x⁴+14x³−2x²

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

99.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

100.

Classify:
x³ + 3x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

101.

Classify:
6x³+3x²+2x−4

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

102.

How many terms does this polynomial have?

2x + y + z

a)

1

b)

2

c)

3

d)

4

103.

two-term polynomial

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

104.

Classify by the DEGREE:
2x² - 5

a)

1

b)

2

c)

3

d)

4

105.

What is the highest degree among terms in this polynomial?

6x² + 7x⁴ + x3 + x

a)

1

b)

2

c)

3

d)

4

106.

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

a)

1

b)

2

c)

3

d)

4

107.

What is the degree of the polynomial 17x + 4

a)

0

b)

1

c)

2

d)

3

108.

What is the degree of the polynomial
x²-2x+5

a)

1

b)

2

c)

3

d)

0

109.

1) Degree of 2x+5 is ____________

a)

2

b)

1

c)

5

d)

4

110.

2) Degree of

2x^2+50

is _____

a)

50

b)

2

c)

4

d)

1

111.

7) Degree of 10 is ______

a)

10

b)

1

c)

0

d)

Undefined

112.

three-term polynomial

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

113.

3x²+2x²

a)

5x²

b)

6x²

c)

5x⁴

d)

6x⁴

114.

4x - 3x² + 2x²

a)

x² + 4x

b)

3x²

c)

-x² + 4x

d)

Can't be simplified

115.

3x² – 2x² – x²

a)

-2x²

b)

0

c)

3x² - 2

d)

-6x²

116.

5ab – 2ab² + 4ab

a)

7ab²

b)

9ab - 2ab²

c)

ab - 2ab²

d)

12ab

117.

(x² – 3x + 1) + (2x – 4x²)

a)

-3x²- x+1

b)

-3x² -2x + 4

c)

3x² -7x + 1

d)

3x² -5x + 1

118.

(x² – 3x + 1) – (2x – 4x²)

a)

-3x² - x + 1

b)

5x² - x + 1

c)

5x²- 5x + 1

d)

-3x² - 5x + 1

119.

(3x)(2x) =

a)

5x²

b)

6x²

c)

5x

d)

Can't be simplified.

120.

(3x³y)(2y⁵)

a)

3x³ + 2y⁵

b)

5x³y⁵

c)

6x³y⁶

d)

6x³y⁵

121.

(3x²)(- 2x⁴y⁵)

a)

-5x⁶y⁵

b)

-6x⁶y⁵

c)

6x⁶y⁵

d)

5x⁶y⁵

122.

(-3x³)(5y⁵)(-xy⁴)

a)

-15s⁶y⁹

b)

15x⁴y⁹

c)

15x⁶y⁹

d)

2x⁴y⁹

123.

3x(x² – 4x – 5)

a)

3x³- 12x² - 15x

b)

4x³- 7x² - 8x

c)

3x³- 12x - 15x

d)

4x³ - 7x² - 15x

124.

3x³y(x² – 4x – 5)

a)

3x⁵y - 12x⁴y - 15x³y

b)

4x⁵y - 12x⁴y - 15x³y

c)

4x⁵y - 27x³y

d)

3x⁵y - 12x³y - 15x³y

125.

-4ab(3a⁴ – b)

a)

-12a⁵b - 4ab²

b)

-12a⁵b + 4ab²

c)

-12a⁵b - b²

d)

-8a⁵b²

126.

(x + 3)(x - 2)

a)

x² + 5x - 6

b)

x² + x + 1

c)

x² + x - 6

d)

x² + 5x + 1

127.

(2x -1)(x + 4)

a)

2x² - 7x - 4

b)

2x² + 7x + 4

c)

-2x² + 7x - 4

d)

2x² + 7x - 4

128.

(x + 1) (x² + 4x + 2)

a)

x³ + 5x² + 6x + 2

b)

x³ + 4x² + 8x + 2

c)

x³ + 5x² + 8x + 2

d)

x³ + 4x² + 6x + 2

129.

(2 – x ) (x³ + 2x + 8)

a)

-x⁴ + 2x³ - 12x - 2x² + 16

b)

x⁴ + 2x³ - 4x - 2x² + 16

c)

-x⁴ + 2x³ - 4x - 2x² + 16

d)

-x⁴ + 2x³ - 4x + 2x² + 16

130.

What is the product of (x-4)(x-4)?

a)

x²-8x-16

b)

x²-8x-8

c)

x²-8x+16

d)

x²+8x+16

131.

What is (4x²+5)(4x²-5)?

a)

16x⁴- 25

b)

16x² - 25

c)

8x⁴ - 10

d)

8x²- 10

132.

What is (3x - 3)³?

a)

27x³ - 81x² + 81x - 27

b)

27x³ - 81x + 81x² - 27

c)

27x³ - 27x² + 81x - 27

d)

27x³ - 27x² + 27x² - 27

133.

Find the product of (2x+1)(2x+1)(2x+1).

a)

4x³+3x²+3x+1

b)

8x³+6x²+3x+1

c)

8x³+12x²+4x+1

d)

8x³+12x²+6x+1

134.

(5a⁵ - 2b)²

a)

10a¹⁰ - 10ab + 4b²

b)

25a¹⁰ - 20a⁵b + 4b²

c)

25a¹⁰ + 10a⁵b + 10b²

d)

25a¹⁰ - 7a⁵b + 4b²

135.

If the exponent on your power of 10 is positive, is your number larger or smaller than 10?

a)

Larger

b)

Smaller

136.

7.82 x 10^-⁶ is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

137.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

138.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

139.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

140.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

141.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

142.

Try to change the number back to standard form: 6.79 x 10⁴

a)

679,000

b)

6,790

c)

67,900

d)

6,790,000

143.

Try to change the number back to standard form: 3.97 x 10^-2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

144.

The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?

a)

1

b)

10

c)

100

d)

1,000

145.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

146.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

147.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

148.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

149.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

150.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

151.

Find the quotient when (21x²- 52x + 32) is divided by (7x - 8).

a)

3x + 4

b)

3x + 3

c)

3x - 4

d)

3x + 2

152.

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

153.

Divide:
(24x + 4) / (6x+1)

a)

4

b)

4 + 4/6x+1

c)

4x + 0

d)

4x

154.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

155.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

156.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

157.

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

a)

0

b)

2

c)

4

d)

6

158.

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

a)

x⁴

b)

x³

c)

x²

d)

x

159.

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

a)

2x² - x - 2

b)

2x³ - x² - 2x

c)

2x² + 15x + 54 + 208/x+4

d)

2x³ + 15x² + 54x + 208

160.

-2x²+4x+48 ÷ x+4

a)

-2x+12

b)

2x+12

c)

-4x+9

d)

4x+9

161.

(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

162.

What is the remainder when x⁴ - 5 is divided by x + 3?

a)

76

b)

81

c)

7

163.

What is the remainder of (4x³ - 3x² - 4x +2) ÷ (x - 3)?

a)

-71

b)

71

c)

145

164.

What is the remainder of (x³ - 5x² - 8x +1) ÷ (x + 1)?

a)

-13

b)

1

c)

3

165.

If f(x) = 5x² ─ 7x ─10, find the value of f (5) using synthetic division.

a)

150

b)

80

c)

70

166.

What is the remainder when (x¹³ + 10) is divided by (x + 1)?

a)

9

b)

10

c)

11

167.

What is the remainder when (5x²⁰ – 19) is divided by (x ─ 1)?

a)

81

b)

14

c)

- 14

168.

Given P(x) = x³ + x² – x ─ 9, what is the value of P (4)?

a)

14

b)

-53

c)

67

169.

Find the remainder when P(x) = 3x² + 5x + 10 is divided by 3x ─ 1 .

a)

3

b)

6

c)

12

170.

The expression x³ ─ kx² +2x +5 leaves a remainder of 2 when divided by x ─ 3. Find the value of k.

a)

4

b)

-4

c)

8

171.

What is the remainder when n³ - 7 is divided by n + 5 ?

a)

118

b)

132

c)

-132

B2A2 Chapter 5 Test Review

Total questions: 171

Worksheet time: 7hrs 40mins

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