8th Grade Math Project

Slope/Y-Intercept

100

What is the slope of 2y-3=-8x

y=-4x+3/2

200

Find the Y-Intercept using (2,3) and M=4

B=-5

300

What is the slope of .4y=.7x+.8?The numbers in your answer should be in decimals.

y=1.75x+2

400

What is the slope and y-intercept? of 3x-4y=-12?

M=-4/3

B=3

500

Using the system y=x-2 and y=-x+4, find out where the lines meet.Then, use that point, (0,1), and (0,4).Find the slope of the triangle that the points form.

The lines meet at (3,1), and the slope of the triangle is -1.

Exponential Properties

100

(8³)¹⁰

8³⁰

200

y²³-(y⁹)⁹

y^-58

300

With (x⁰y^.25)³, apply exponential property laws.

y^.75

400

(2 1/3)¹⁵*(5 1/2)⁶

4000

500

(9³)²⁵+9^-20/9⁹+10⁵

9⁴⁶+10⁵

Linear Equations

100

Where does the system 2x-y=4 and 6x-3y=12 meet?

They meet repeatedly at multiple locations, since they are lines that travel in the same place and direction.

200

Where does 4x+3y=7 and x-2y=-1 meet?If the line 3x+5y=8 is added to the graph, does it meet with the other lines at the same location?

Yes.The systems solution is (1,1).With the extra line, all three lines still meet at (1,1).

300

Where does x-2y=-2 and 3x-2y=2 meet on a graph?

The equations meet at (2,2)

400

3x+5-x=2x+7

No Solution

500

What is Z in the system -14y+19z=29 and -8y+14z=26?

Z=3

Scientific Notation

100

.0001019 into scientific notation.

1.019*10^-4

200

(0.00498*10⁷)*(1.003*10²)

.00499494*10⁹

300

(121*10³⁴)/(11*10²²)

11*10¹²

400

(4.6*10⁴)+(3.2*10³)

4.92*10⁴

500

(22.30190*10²¹)-(10*10²⁴)

22.2919*10²¹

Functions

100

X:1,2,3

Y:-1,-2,-3

What is the rule?

Y=-1x

200

X:2,4,6,8

Y:8,16,24,32

What is the rule?

Y=4x

300

X:10,14,8,4,1

Y:20,24,18,14,11

What is the rule?

y=2x+20/2

400

X:26,2,10,18,14

Y:117,9,45,81,63

What is the rule?

y=x/2*9

500

X:9,2.3,14,22

Y:7.2,10.7,6.8,6.5(The Y set is rounded to the tenth)

What is the rule?

y=10.7/X+6