Free Printable Grade 11 Quiz 2 2020

1.

Simplify: $\frac{9^{a^{+1}}\times3^{3a^{-4}}}{27^{a^{+1}}\times9^{a^{-2}}}$

a)

$\frac{3^{5a^{+2}}}{3^{5a}+1}$

b)

$\frac{3^{5a^{-2}}}{3^{5a-1}}$

c)

$\frac{3^{3a^{-2}}}{3^{3a-1}}$

2.

Simplify as much as possible:
2√75

a)

10√3

b)

√150

c)

√300

d)

50√3

3.

Expand and simplify:
(2 + √5)(3 + √5)

a)

11 + 5√5

b)

6 + 6√5

c)

6 + √5

d)

11 + √5

4.

Simplify as much as possible:
10√10 ÷ 2√5

a)

5√2

b)

2√5

c)

5√50

d)

5√5

5.

Write as a radical expression
y²⁄ ³

a)

2y³

b)

√y³

c)

∛y²

d)

3y²

6.

125^2/3

a)

5

b)

25

c)

75

d)

5

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

10.

a)

5x^5/4

b)

5x^-5/4

c)

(5x)^-5/4

d)

(5x)^-4/5

11.

a)

(6v)³

b)

6v^3/2

c)

(6v)^3/2

d)

(6v)^2/3

12.

Write each expression in exponential form.

a)

A

b)

B

c)

C

d)

D

13.

Rewrite in Exponential Form.

a)

A

b)

B

c)

C

d)

D

14.

a)

a

b)

b

c)

c

d)

d

15.

Rewrite in Exponential Form.

a)

A

b)

B

c)

C

d)

D

16.

Where is the first error?

a)

line 2

b)

line 4

c)

line 6

d)

no mistake

17.

Where is the first error?

a)

line 2

b)

line 3

c)

line 6

d)

no mistake

18.

What value of y makes the equation true?

a)

0

b)

1

c)

2

d)

3

19.

What value of n makes the equation true?

a)

5/7

b)

6/5

c)

7/5

d)

5/6

20.

What value of z makes the equation true?

a)

16

b)

25

c)

9

d)

36

21.

$7a^{-5}b^3$

a)

$7ab^{-15}$

b)

$\frac{b^3}{7d^5}$

c)

$\frac{7b^3}{a^5}$

d)

$7a^5b^{-3}$

22.

Simplify

a)

3 x² y² z √3yz

b)

3 x y z √xy²

c)

3xyz

d)

Can't Simplify

23.

Rewrite in Exponential Form.

a)

A

b)

B

c)

C

d)

D

24.

Simplify:

a)

∛121

b)

121

c)

√11

d)

1331

25.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

26.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

27.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

28.

The solutions of the quadratic equation
x²-5x+6=0 are

a)

x=1 or x=-6

b)

x=3 or x=2

c)

x=-3 or x= 2

d)

x=-1 or x=6

29.

In the quadratic formula, if b²-4ac>0, then the quadratic equation has

a)

two imaginary solutions

b)

two different real solutions

c)

two equal real solutions

d)

none of these

30.

To complete the perfect square trinomial in the expression x²-22x+_____, we need to add

a)

11

b)

44

c)

121

d)

144

31.

In the quadratic formula, the expression
b²-4ac is called

a)

discrim

b)

determinant

c)

discriminant

d)

none of these

32.

In the expression 4x²-5x+9 the leading coefficient is

a)

9

b)

-5

c)

-4

d)

4

33.

The solution of the quadratic equation
4x²-5x-9=0 are

a)

x=-1 or x=9/4

b)

x=1 or x=9/4

c)

x=2 or x=3

d)

x=-2 or x=-3

34.

Fill the blank space to complete the perfect square trinomial
x²-18x+____=(x- ____)²

a)

9 and 3 respectively

b)

81 and 9 respectively

c)

-9 and -3 respectively

d)

-81 and -9 respectively

35.

Which of the followig trinomial is perfect square trinomial?

a)

x²+4x+9

b)

x²-22x-121

c)

x²+4x-9

d)

x²-22x+121

36.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

37.

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

38.

Solve the following inequality:

6x² - 54 ≤ 0

a)

-3 ≤ x ≤ 3

b)

x ≤ -3 or x ≥ 3

c)

-3 < x < 3

d)

x < -3 or x > 3

39.

Solve the following inequality;

5x² + 10x + 7 ≥ 0

a)

no solution

b)

all reals

c)

x ≤ 5 or x ≥ 7

d)

5 ≤ x ≤ 7

40.

Solve for x: 8x + 140 > 4x²

a)

-5 < x < 7

b)

-3 ≤ x ≤ 12

c)

4 < x < 15

d)

-2 < x < 10

41.

Solve for x: 4x² - 8x < 77

a)

-3.5 < x < 5.5

b)

-2.5 < x < 7.5

c)

-4 < x < 8

d)

-6 < x < 8

42.

Solve using the Quadratic Formula

x² + 4x − 40 = −8

a)

x = −10, −4

b)

x = −4, 10

c)

x = −8, 4

d)

x = 8, −4

43.

Solve for m by factoring.

a)

A

b)

B

c)

C

d)

D

44.

Solve the following for x by using the Quadratic Formula

2x²+6x=7

a)

b)

c)

45.

Solve by the Extraction of Roots method: x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

46.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

47.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

48.

Solve the following simultaneous equations:

2x + 3y = 17

4x + y = 9

a)

x = 1

y = 5

b)

x = -1

y = 5

c)

x = 1

y = -5

d)

x = -1

y = -5

49.

4x + y = -1
4x - 3y = 7

a)

x = 1 y = 2

b)

x = 0.5 y = 3

c)

x = 0.25 y = -2

d)

x = 2 y = -4

50.

The roots of x²+ 3x - 1 = 0 will be

a)

Real, rational & equal

b)

Real, rational & different

c)

Real, irrational & different

d)

Non-real & different

51.

The roots of 4x²- 1 = 0 will be

a)

Real, rational & equal

b)

Real, rational & different

c)

Real, irrational & different

d)

Non-real & different

52.

Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63

a)

256 - 2 different, Real & Rational roots

b)

√(-256) - 2 different non-Real roots

c)

√(137) - 2 different Real & Irrational roots

d)

123 - 2 different Real & Rational roots

53.

What is the standard form for a Quadratic?

a)

ax²+ bx = - c

b)

x = -b ± √(b²-4ac) / 2a

c)

ax² + bx + c

d)

y = mx + b

54.

What is the degree of every Quadratic Equation?

a)

1

b)

2

c)

3

d)

4

Grade 11 Quiz 2 2020

Total questions: 54

Worksheet time: 57mins

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