8th Math Review

What's The Trends

100

x     y

1     8

2     10

3     2

4     6

No trend

200

See drawing

Positive Trend

300

x     y

1     1

2     4

3     9

4     16

Positive Trend

400

See Drawing

No Trend

500

x     y

1     18

3     9

5     0

Negative Trend

Ordering Real Numbers

100

Put 15, pi, and 7 in order from least to greatest

pi, 7, 15

200

Which is the greatest?

sqrt(2), 2, 2², sqrt(16), sqrt(17), cubic rt(64)

sqrt(17)

300

Which is the least?

sqrt(2), 2, 2², sqrt(16), sqrt(17), cubic rt(64)

sqrt(2)

400

which of these is not a real number?

sqrt(-1), sqrt(2), sqrt(4), 4, 64, cubic rt(125)

sqrt(-1)

500

Which of these numbers is real, but not rational?

sqrt(-1), sqrt(2), sqrt(4), 4, 64, cubic rt(125)

sqrt(2)

Transformations

100

What is the Transformation called when x -> x+5 and y -> y-3

Translation

200

(x,y) -> (-y,x) is a 90-degree rotation which way?

counter-clockwise

300

how many degrees clockwise is a rotation of 

(x,y) -> (-y,x)

270 degrees

400

What transformation brings about a change from 

(x,y) -> (x,-y)

Reflection over the x-axis

500

What Transformation brings about the change

(x,y) -> (-x,-y)

Reflection across the origin or 180 degree rotation

Pythagorean Theorem

100

What is the name of the longest leg of a right triangle

Hypotenuse

200

What is the formula for Pythagorean Theorem if we know a and c?

b² = c² - a²

300

if a = 18 and b = 24, what is c?

30

400

If a = 5 and c = 13, what is b?

b = 12

500

Jane sits atop a 20-foot ladder, which rests against her house 16 feet in the air, how far from her house is the ladder's base?

12 feet