Free Printable Radical test

1.

$-3\sqrt[]{20x^4y^2}$

Simplify

2.

$\sqrt{4x^7y^5z^9}$ Simplify

3.

Express this cube root in simplest form:

$\sqrt[3]{-320}$

4.

$2\sqrt{150}+3\sqrt{175}+4\sqrt{24}$

Simplify then add

Write the biggest coefficient first

5.

Simplify then add
$\sqrt[3]{24}+5\sqrt[3]{3}$

6.

$3\sqrt{50}-5\sqrt{32}$

Simplify then subtract

7.

$5\sqrt{200}-5\sqrt{8}$

Simplify then subtract

8.

Multiply then Simplify

$-2\sqrt[]{10}\cdot3\sqrt[]{20}$

9.

Distribute, simplify then subtract if possible

Write the biggest coefficient first

$\sqrt{2}\left(4\sqrt{10}-6\sqrt{6}\right)$

10.

Distribute (FOIL), then combine like terms

Write the biggest coefficient first

$\left(4\sqrt{2}-2\sqrt{3}\right)\left(5\sqrt{2}-\sqrt{3}\right)$

11.

$2\sqrt[5]{64x}\cdot5\sqrt[5]{256x}$

Multiply, simplify

12.

Multiply, simplify

$3\sqrt[3]{25y}\cdot-2\sqrt[3]{-50y}$

13.

$\frac{4\sqrt[]{5}}{3\sqrt[]{2}}$

Simplify

14.

Simplify

$\frac{3}{3-\sqrt[]{3}}$

15.

Simplify

$\left(\sqrt[]{5}+\sqrt[]{3}\right)^2$

16.

Simplify

$\sqrt[3]{16}-\sqrt[3]{250}$

17.

Solve the radical equation: $11=2+\sqrt{90-x}$

18.

Solve for the missing variable

$2\sqrt[]{3x+1}+6=14$

19.

$\sqrt[3]{a-9}=3$

Solve for a

20.

$-2\sqrt[3]{2x+10}-1=3$

Solve for x

21.

Factor by Grouping:
7r³-8r²+42r-48

22.

What is the complete factorization of 3x²-3x - 18?

23.

Factor Completely: 6x² + 5x - 6

24.

Solve Using the Quadratic Formula. Choose all answers
x² + 4x - 40 = -8

a)

-10

b)

8

c)

4

d)

-4

e)

-8

25.

Solve the following equation using the quadratic formula: $5x^2-6=13x$

a)

$x=-2,\ x=-\frac{3}{5}$

b)

$x=2,\ x=\frac{3}{5}$

c)

$x=3,\ x=-\frac{2}{5}$

d)

undefined

26.

Solve by completing the square:
k² − 12k + 23 = 0

a)

{6 + √13, 6 - √13}

b)

{-6 + √13, -6 - √13}

c)

{6 + √59, 6 - √59}

d)

{-6 + √59, -6 - √59}

27.

Solve by completing the square

$13x^2-18x-84=-8-3x+12x^2$

a)

$\left\{19,-4\right\}$

b)

$\left\{\frac{-5+i\sqrt{479}}{2},\frac{-5-i\sqrt{479}}{2}\right\}$

c)

$\left\{14,-9\right\}$

d)

$\left\{-5+i\sqrt{101},-5-i\sqrt{101}\right\}$

28.

Use the square root property to solve the Quadratic Equation.
2(x - 4)² = 200

a)

±10

b)

-14, 6

c)

-6, 14

d)

100

29.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

30.

$\left(3x^5y^{-2}z\right)^3$

31.

Simplify

$\frac{m^2-11m+28}{m-4}$

32.

$\frac{\left(x-4y\right)}{5x}-\frac{4x}{3x}$

Simplify the expression

33.

Simplify the expression

34.

$\frac{3}{x-4}-\frac{3}{x+1}$

35.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

36.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

37.

Solve for x.

$-\left(\frac{4}{7}x-\frac{3}{5}\right)=\frac{1}{2}\left(-\frac{1}{3}x-\frac{1}{2}\right)$

Answer should be a fraction

38.

Solve for x.

$-\frac{2}{5}\left(\frac{1}{2}x+3\right)=-\left(4x+\frac{1}{5}\right)$

Answer should be a fraction

39.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

40.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

Radical test

Total questions: 40

Worksheet time: 1hrs 15mins

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