Free Printable Intermediate Unit 2 Review

1.

$x^2\cdot x^4$

a)

$x^8$

b)

$x^{-2}$

c)

$x^6$

d)

$2x^6$

2.

$5y^3\cdot3y^8$

a)

$8y^8$

b)

$8y^{11}$

c)

$15y^8$

d)

$15y^{11}$

3.

$\frac{x^7}{x^2}$

a)

$x^5$

b)

$x^9$

c)

$x^{14}$

d)

$2x^9$

4.

$\frac{12y^9}{2y^3}$

a)

$10y^3$

b)

$10y^6$

c)

$6y^5$

d)

$6y^6$

5.

$\left(x^2\right)^5$

a)

$x^7$

b)

$x^{10}$

c)

$7x$

d)

$x^3$

6.

$\left(\left(a^3\right)^4\right)^2$

a)

$a^9$

b)

$a^{14}$

c)

$24a$

d)

$a^{24}$

7.

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

a)

$2x^6$

b)

$2x^5$

c)

$8x^6$

d)

$8x^5$

8.

$\left(\frac{x^3}{y}\right)^2$

a)

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

b)

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

c)

$\frac{x^5}{y^2}$

d)

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

9.

For the following problem, what operation will you use on the exponents?

a)

Multiply

b)

Add

c)

Subtract

d)

Nothing

10.

Simplify:

a)

5⁴ = 625

b)

5³ = 125

c)

5² = 25

d)

5

11.

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

a)

$\frac{8y^{12}}{z^6}$

b)

$\frac{8y^9}{Z^6}$

c)

$\frac{2y^9}{z^6}$

d)

$\frac{6y^9}{z^6}$

12.

$\left(\frac{x^3}{y}\right)^2$

a)

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

b)

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

c)

$\frac{x^5}{y^2}$

d)

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

13.

$\left(xy^2z^6\right)^2$

a)

$xy^4z^{12}$

b)

$x^2y^4z^{12}$

c)

$xy^4z^8$

d)

$x^3y^4z^8$

14.

$\left(\left(a^3\right)^4\right)^2$

a)

$a^9$

b)

$a^{14}$

c)

$24a$

d)

$a^{24}$

15.

$\left(x^2\right)^5$

a)

$x^7$

b)

$x^{10}$

c)

$7x$

d)

$x^3$

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

For the following problem, what operation will you use on the exponents?

a)

Multiply

b)

Add

c)

Subtract

d)

Nothing

22.

Simplify:

a)

a²

b)

a³

c)

a⁴

d)

a⁵

23.

Simplify:

a)

a

b)

a²

c)

a³

d)

a⁴

24.

Simplify:

a)

9¹ = 9

b)

9² = 81

c)

9³ = 729

d)

9^-1 = 1/9

25.

$\sqrt{50}$

a)

$5\sqrt{2}$

b)

$\sqrt{5}$

c)

$2\sqrt{5}$

d)

$25\sqrt{2}$

26.

$\sqrt{243}$

a)

$3\sqrt{3}$

b)

$9\sqrt{3}$

c)

$81\sqrt{3}$

d)

$3\sqrt{81}$

27.

$\sqrt{96}$

a)

$16\sqrt{6}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

d)

$\sqrt{2}$

28.

$\sqrt{45}$ =

a)

$3\sqrt{5}$

b)

$5\sqrt{3}$

c)

$9\sqrt{5}$

d)

$5\sqrt{9}$

29.

$\sqrt{300}$

a)

$3\sqrt{10}$

b)

$2\sqrt{150}$

c)

$100\sqrt{3}$

d)

$10\sqrt{3}$

30.

$\sqrt{40}$

a)

$4\sqrt{10}$

b)

$10\sqrt{4}$

c)

$2\sqrt{10}$

d)

$10\sqrt{2}$

31.

$\sqrt{256}$

a)

$12\sqrt{2}$

b)

$9\sqrt{14}$

c)

16

d)

$18\sqrt{6}$

32.

$\sqrt{63}$

a)

$9\sqrt{7}$

b)

$6\sqrt{2}$

c)

$7\sqrt{6}$

d)

$3\sqrt{7}$

33.

$\sqrt{147}$

a)

$3\sqrt{49}$

b)

$6\sqrt{3}$

c)

$7\sqrt{3}$

d)

$9\sqrt{7}$

34.

Simplify
3√6 - 4√6

a)

-√6

b)

√6

c)

-1

d)

Already simplified

35.

Simplify
3√8 + 3√2

a)

9√2

b)

6√10

c)

5√2

d)

Already simplified

36.

Simplify
3√18 - 2√2

a)

7√2

b)

√16

c)

√2

d)

Already simplified

37.

Simplify
9√2 + 12√3

a)

21√5

b)

21√2

c)

21√3

d)

Already simplified

38.

Simplify
3√5 + √20 - √45

a)

3√-20

b)

2√-20

c)

3√5

d)

2√5

39.

Simplify

a)

√5

b)

-3√6

c)

√6

d)

6

40.

a)

6m²

b)

36

c)

6

d)

41.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

42.

Find the area of the rectangle shown.

a)

18√20

b)

12√10 + 6√2

c)

9√12

d)

36√5

43.

a)

6m²

b)

36

c)

6

d)

44.

Simplify

\frac{\sqrt{5}}{\sqrt{3}}

a)

$\frac{\sqrt{5}}{3}$

b)

$\frac{\sqrt{15}}{3}$

c)

$\frac{\sqrt{15}}{9}$

d)

$\frac{\sqrt{5}}{9}$

e)

None of these

45.

Simplify

\frac{\sqrt{8}}{\sqrt{12}}

a)

$\frac{\sqrt{6}}{3}$

b)

$\frac{\sqrt{3}}{6}$

c)

$\frac{\sqrt{12}}{6}$

d)

$\frac{\sqrt{2}}{\sqrt{3}}$

e)

None of these

46.

Simplify

\frac{2\sqrt{3}}{3\sqrt{6}}

a)

$\frac{\sqrt{6}}{3}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{\sqrt{6}}{2}$

d)

$\frac{\sqrt{2}}{3}$

e)

None of these

47.

Simplify

\frac{\sqrt{5u^2v^3}}{\sqrt{10u^4v^3}}

a)

$\frac{\sqrt{2}}{2u^2v}$

b)

$\frac{\sqrt{2v}}{2u}$

c)

$\frac{\sqrt{2}}{2u}$

d)

$\frac{\sqrt{2v}}{2u^2v}$

e)

None of these

48.

Simplify

\frac{\sqrt{2x^4y}}{\sqrt{5x^3y^3}}

a)

$\frac{\sqrt{5y}}{10x}$

b)

$\frac{\sqrt{5x}}{10y}$

c)

$\frac{\sqrt{10y}}{5x}$

d)

$\frac{\sqrt{10x}}{5y}$

e)

None of these

49.

Which animal CAN'T jump?

a)

Elephant

b)

Leopard

c)

Squirrel

d)

Lion

50.

Who is the last shark mentioned in the song, "Baby Shark"?

a)

Grandma Shark

b)

Grandpa Shark

c)

Mommy Shark

d)

Daddy Shark

Intermediate Unit 2 Review

Total questions: 50

Worksheet time: 2hrs 34mins

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