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1.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a² + b² = c²

c)

a² + b² + c²

d)

A = LW

2.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

3.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

4.

Do the segment lengths 15, 12, and 9 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

5.

Simplify and then subtract:

3√2 - 3√18

a)

-4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

6.

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)

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

7.

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

a)

$16-\sqrt{2}$

b)

$4-\sqrt{2}$

c)

14

d)

18

8.

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)

$\sqrt{2}$

9.

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)

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

10.

(7 − √2)(5 + √3)

a)

35 + 7√3 − 5√2 − √6

b)

29 + 7√3 − 5√2

c)

35 +√10 − √7 −√6

d)

√50

11.

Which is a fully simplified expression for the area of the rectangle?

a)

6 m²

b)

6√2 m²

c)

18√3 m²

12.

Simplify the expression; be sure to rationalize the denominator

a)

14√x

b)

(7√2x)/2

c)

7x

d)

14√2x

13.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

14.

Solve

a)

-14

b)

14

c)

no solution

d)

28

15.

a)

x = 12

b)

x = 24

c)

x = 144

d)

x = 121

16.

Find the Domain of the function.
$f\left(x\right)=\sqrt{x-3}$

a)

$x\ =3$

b)

$x>-3$

c)

$x\ge3$

d)

$x\ne3$

17.

Find the Domain of the function.

f\left(x\right)=\sqrt{x+1}

a)

$x\ne1$

b)

$x\ge-1$

c)

$x=1$

d)

$x>-1$

18.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

19.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

20.

$f\left(x\right)=\sqrt{x}-4$

a)

b)

c)

d)

21.

$y=\sqrt{x+5}$

a)

b)

c)

d)

22.

Graph each function.

a)

b)

c)

d)

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Total questions: 22

Worksheet time: 48mins

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