Don't be irrational!
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Ancient Greek
Exponential Problems
100

Rational or irrational?

The square root of 169.

Rational 

100

Every month Amy's savings increase.  What type of slope on a graph (positive, no slope or negative) would this be?

What is a positive slope?

100

In a function which value (x or y) cannot be repeated?

What is x?

100

Write the pythagorean theorem.

What is:

a2 + b2 = c2

100

340 = ?

What is 1?

200

Rational or irrational?

๐œ‹

Irrational 

200

Ian's new car depreciates or loses value the longer he owns it.  What type of slope on a graph would it be (positive, negative or no slope)?

What is a negative slope?

200

Is this a linear function?

(2,4) (4,8) (6,16) (8,32)

No, because it would not form a straight line.

No, because even though x is increasing at the same rate, y is doubling each time.

200

This is the diagonal on a right triangle.

What is the hypotenuse?

200

3a6 x  5a2 =

What is 15a8?

300

Rational or irrational?

3/15

Rational

300

How many solutions would the following set of equations have?

y = 2x - 4

y = 2x + 4

What is no solution?

300

Solve by graphing:

4x + y = 31

2x - y = 5

What is (6,7)

300

16 cm2 + 9 cm2 = c2 cm2

Solve for c.

c = 5 cm.

300

28y14 รท 4y11 =

What is 7y3?

400

Rational or irrational

-0.333333333 ...

Rational

400

How many solutions would the following set of equations have?

y = 3x - 2

y = -3x + 2

What is one solution?

400

Solve the following set of equations by graphing:

2x + y = 28

x - 4y = -22

What is (10,8)?

400

Find the leg length:

82 + b2 = 102

b = 6

400

b-8 = ?

What is 1/b8?
500

Rational or irrational?

The square root of 5.

Irrational.

500

How many solutions would the following set of equations have?

y = 3x + 9

y = -3(-x - 9)

What is infinite solutions?

500

Create a set of equations and solve by graphing.

In a cage full of bugs, there are beetles (6 legs) and spiders (8 legs).  You count 30 bugs and 192 legs.   How many spiders and beetles are there? 

Use x for beetles and y for spiders.

What is:

6x + 8y = 192

x + y = 30

There are 24 beetles and 6 spiders.

500

Kevin wants to use a ladder to hang some Christmas lights.  He is going to lean the ladder against the roof which is 12 ft. from the ground.  The bottom of the ladder is 5 ft. from the house.   Using the pythagorean theorem, how long is the ladder?

The ladder is 13 ft. long.

500

(3x5)2x3 = ?

What is 6x15?

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