Free Printable 9Love - Review Quiz (Math)

1.

1. Get the product in simplest form $\sqrt{2}\left(\sqrt{6}+\sqrt{7}\right)$ .

a)

$\sqrt{12}+\sqrt{14}$

b)

$2\sqrt{6}+2\sqrt{7}$

c)

$\sqrt{26}$

d)

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

2.

Write the product in simplest form $\sqrt{9}\left(\sqrt{3}+2\sqrt{2}\right)$ .

a)

$9\sqrt{3}+18\sqrt{2}$

b)

$3\sqrt{11}$

c)

$\sqrt{27}+\sqrt{72}$

d)

$3\sqrt{3}+6\sqrt{2}$

3.

Multiply the radicals $\left(-7+\sqrt{3}\right)\left(4+\sqrt{3}\right)$

a)

$21+11\sqrt{3}$

b)

$21-3\sqrt{3}$

c)

$37+11\sqrt{3}$

d)

$-21-3\sqrt{3}$

4.

Multiply $\sqrt{6}\left(3+\sqrt{6}\right)$

a)

$3\sqrt{6}+6$

b)

17

c)

$-5\sqrt{30}-15\sqrt{5}$

d)

$-10\sqrt{5}$

5.

Multiply the radicals $\left(5\sqrt{5}+4\sqrt{3}\right)\left(3\sqrt{8}+\sqrt{3}\right)$

a)

$60\sqrt{10}+5\sqrt{15}+24\sqrt{6}+12$

b)

$30\sqrt{10}+5\sqrt{15}+4\sqrt{9}$

c)

$60\sqrt{10}+5\sqrt{15}+48\sqrt{6}+36$

d)

$30\sqrt{10}+5\sqrt{15}+24\sqrt{6}+12$

6.

Multiply $2\sqrt{5}\left(3\sqrt{3}+6\sqrt{2}\right)$

a)

$6\sqrt{15}+12\sqrt{10}$

b)

$15\sqrt{6}+30\sqrt{10}$

c)

90

d)

$6\sqrt{10}+12\sqrt{6}$

7.

Multiply $\left(2\sqrt{6}+3\sqrt{8}\right)\left(3\sqrt{12}-2\sqrt{6}\right)$

a)

$24-24\sqrt{3}+36\sqrt{2}+36\sqrt{6}$

b)

$36\sqrt{6}-36\sqrt{3}+24\sqrt{2}-24$

c)

$36\sqrt{6}-24\sqrt{3}+36\sqrt{2}-24$

d)

$24-36\sqrt{2}+24\sqrt{3}$

8.

What is the result after simplifying $2\sqrt{3}+4\sqrt{3}-5\sqrt{3}$ ?

a)

$-\sqrt{3}$

b)

$\sqrt{3}$

c)

$11\sqrt{3}$

d)

$21\sqrt{3}$

9.

The product of $\left(5\sqrt{2}+4\right)\left(5\sqrt{2}-4\right)$ is __________.

a)

-34

b)

34

c)

26

d)

-26

10.

When do you say the two radicals are alike?

a)

when their indices are the same

b)

when their radicands are the same

c)

when their integral exponents are the same

d)

when their indices and radicands are the same

11.

Simplify $\sqrt{\frac{200}{49}}$

a)

$\frac{20}{7}$

b)

$\frac{2}{7}$

c)

$\frac{10\sqrt{2}}{7}$

d)

$\frac{2\sqrt{10}}{7}$

12.

$4\sqrt{3}\times3\sqrt{3}$

Multiply

a)

36

b)

28

c)

23

d)

48

13.

Multiply $\sqrt{27}\times\sqrt{3}$

a)

9

b)

6

c)

8

d)

5

14.

Divide $\sqrt{5}\div\sqrt{15}$

a)

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

b)

$\sqrt{4}$

c)

$\frac{\sqrt{1}}{3}$

d)

$\frac{\sqrt{5}}{2}$

15.

$\left(\sqrt{8}+\sqrt{6}\right)\left(\sqrt{3}+\sqrt{2}\right)$

Write the product in simplest form.

a)

$4+2\sqrt{6}+3\sqrt{3}+2\sqrt{2}$

b)

$4+2\sqrt{6}+2\sqrt{3}+3\sqrt{2}$

c)

$4+7\sqrt{6}$

d)

$4+5\sqrt{6}+2\sqrt{3}$

16.

$\left(\sqrt{3}+2\sqrt{8}\right)^2$

Find the product.

a)

$35+8\sqrt{6}$

b)

$8+19\sqrt{6}$

c)

$18+8\sqrt{6}$

d)

$3+4\sqrt{6}$

17.

Multiply $\sqrt{12}\left(\sqrt{3}-\sqrt{12}\right)$ .

a)

$6\sqrt{3}$

b)

-6

c)

$-6\sqrt{3}$

d)

6

18.

Solve: $\sqrt[]{2x+7}=3$

a)

1

b)

-1

c)

-2

d)

2

19.

Given the equation $\sqrt[]{x+5}=\sqrt[]{2x-3}$ , solve for x.

a)

6

b)

7

c)

8

d)

9

20.

Which of the following values of x will satisfy the given equation $\sqrt[]{3x-5}-1=3$ ?

a)

x=7

b)

x=5

c)

x=4

d)

x=3

21.

What is the value of x that will make the equation $\sqrt[3]{x-1}-3=0$ true?

a)

26

b)

28

c)

30

d)

32

22.

Solve the radical equation: $10=\sqrt{14x+2}$

a)

x = 102

b)

x = 12

c)

x = 98

d)

x = 7

23.

Solve the radical equation: $\sqrt{x-3}+5=9$

a)

x = 5

b)

x = 11

c)

x = 19

d)

x = 16

24.

Solve the radical equation: $\sqrt{6x+1}-8=3$

a)

x = 20

b)

x = 11

c)

x = 4

d)

x = -2

25.

Solve the radical equation: $\sqrt{x+1}=\sqrt{4x-8}$

a)

x = 3

b)

x = -3

c)

x = 2

d)

x = -2

9Love - Review Quiz (Math)

Total questions: 25

Worksheet time: 27mins

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