Free Printable Unit 7 Pre-Test

1.

Which of the following is a perfect square?

a)

12

b)

90

c)

40

d)

64

2.

Which of the following in NOT a perfect square?

a)

49

b)

81

c)

111

d)

144

3.

144

a)

is a perfect square.

b)

is not a perfect square.

4.

65

a)

Is a perfect square.

b)

Is not a perfect square.

5.

169

a)

Is a perfect square.

b)

Is not a perfect square.

6.

Use a factor tree to find the prime factorization of 32

a)

2 x 2 x 2 x 4

b)

2 x 2 x 2 x 2 x 2

7.

Use a factor tree to find the prime factorization of 60

a)

5 x 3 x 2 x 2

b)

7 x 6 x 5

8.

Use a factor tree to find the prime factorization of 72

a)

2 x 2 x 2 x 3 x 3

b)

4 x 3 x 3 x 2

9.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

10.

Simplify the following radical: √28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

11.

Simplify the following radical: √72

a)

8√3

b)

6√2

c)

3√8

d)

4√8

12.

Simplify the following radical: √96

a)

16√6

b)

2√6

c)

4√6

d)

√2

13.

Simplify the following radical: √80

a)

16√5

b)

2√20

c)

4√5

d)

8√5

14.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

15.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

16.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

17.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

18.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

19.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

20.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

21.

Add: 4√7 - 10 √7 + 7√7

a)

-6√7

b)

14√7

c)

-3√14

d)

√7

22.

Simplify: 2√40 - 3√10

a)

5√10

b)

√10

c)

-√30

23.

2√5 - √5 + 4√5 + √3

a)

6√5 + √3

b)

5√5 + √3

c)

6√5

d)

6√3

24.

Which is equivalent to √121p⁵r⁷s⁴?

a)

11prs √pr

b)

11p^2.5r^3.5s²√pr

c)

11p²r³s²√pr

d)

11p²r³s²

25.

Simplify:

a)

8x⁹

b)

8x³

c)

8x⁴√x

d)

8x³√x

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

5√48x²

a)

10x√3

b)

15x√3

c)

20x√3

d)

25x√3

29.

Simplify

√45n³

a)

3n√5n

b)

4n√8

c)

4n√-8

d)

10√n

30.

Simplify the following radical: √32x⁶

a)

3x³√2

b)

4x⁶√2

c)

16x⁴√2x²

d)

4x³√2

31.

$\sqrt{45x^4y^7}$

a)

$3x²y³\sqrt{5}$

b)

$9x²y³\sqrt{5y}$

c)

$3x²y³\sqrt{5y}$

d)

$3x⁴y⁷$

32.

Simplify the radical... $\sqrt{20a²b⁴}$

a)

$2ab²\sqrt{5}$

b)

$4ab²\sqrt{5}$

c)

$5ab²\sqrt{2}$

d)

$2a²b²\sqrt{5}$

33.

a)

A

b)

B

c)

C

d)

D

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

36.

Simplify and then subtract:

3√2 - 3√18

a)

-4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

37.

$2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$

a)

$24\sqrt{3}$

b)

$24\sqrt{3}+5\sqrt{8}$

c)

$14\sqrt{3}+10\sqrt{2}$

38.

Simplify the expression:

a)

√2 - 3√3

b)

2√-59

c)

-2√2 - 3√3

d)

-3.782

39.

a)

A

b)

B

c)

C

d)

D

40.

Rationalize the denominator:
$\frac{2\sqrt{8}}{\sqrt{12x^3}}$

a)

$\frac{\sqrt{96x}}{6x^2}$

b)

$\frac{2\sqrt{6x}}{3x^2}$

c)

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

d)

$\frac{4\sqrt{2x}}{2x\sqrt{3}}$

41.

Multiply:
$\left(4+\sqrt{2}\right)\left(4-\sqrt{2}\right)$

a)

$16-\sqrt{2}$

b)

$4-\sqrt{2}$

c)

14

d)

18

42.

What should you multiply $\frac{3\sqrt{2}}{2-\sqrt{7}}$ by to rationalize the denominator?

a)

$2-\sqrt{7}$

b)

$\sqrt{7}$

c)

$2+\sqrt{7}$

d)

$\sqrt{2}$

43.

Rationalize the following: $\frac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}$

a)

$\frac{\sqrt{6}-\sqrt{10}}{8}$

b)

$\frac{\sqrt{6}-\sqrt{10}}{-2}$

c)

$\frac{\sqrt{6}+\sqrt{10}}{8}$

d)

$\frac{2\sqrt{3}+2\sqrt{5}}{-2}$

44.

$\frac{3+5\sqrt{3}}{4-2\sqrt{3}}$ Rationalize:

a)

$\frac{-9+7\sqrt{3}}{2}$

b)

$\frac{-18+14\sqrt{3}}{4}$

c)

$\frac{21+13\sqrt{3}}{2}$

d)

$\frac{24-26\sqrt{3}}{4}$

45.

Simplify the expression:

a)

1

b)

9 - 4√4

c)

6 + 2√2

d)

1 - 4√2

46.

(7 − √2)(5 + √3)

a)

35 + 7√3 − 5√2 − √6

b)

29 + 7√3 − 5√2

c)

35 +√10 − √7 −√6

d)

√50

47.

$\sqrt{5x^6y}\cdot\sqrt{8y^5}$

a)

$\left|x^3\right|y^3\sqrt{40}$

b)

$2\left|x^3y^3\right|\sqrt{10}$

c)

$2\left|x^3\right|y^3\sqrt{10}$

d)

$\left|x^3\right|y^3\sqrt{13}$

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

50.

a)

36

b)

18

c)

-18

d)

27

51.

a)

x = 2

b)

x = 4

c)

x = 7

d)

x = 9

52.

a)

x = -6

b)

x = 3

c)

x = -3

d)

x = 5±

53.

Solve.

a)

no solution

b)

6

c)

3

d)

4

54.

Solve

a)

-14

b)

14

c)

no solution

d)

28

55.

a)

9

b)

-9

c)

21

d)

-21

56.

a)

x = 12

b)

x = 24

c)

x = 144

d)

x = 121

57.

a)

1

b)

3

c)

224

d)

226

58.

a)

5

b)

33

c)

85

d)

21

59.

Solve the radical equation. Don't forget to check your answers!

a)

No solution

b)

33

c)

61

d)

47

60.

Solve the radical equation. Don't forget to check your answers!

a)

-5

b)

5

c)

10

d)

25

61.

Solve the radical equation. Don't forget to check your answers!

a)

2

b)

1

c)

-1

d)

8

Unit 7 Pre-Test

Total questions: 61

Worksheet time: 15hrs 15mins

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