Algebra 1

y-intersept form

100

convert this to y- intercept form : 8x+2y=-14

y=-4x-7

200

 Convert this into y intercept form  20x-2y=30

y=10x-15

300

convert this to y-intercept form  40x+4y=32

y=-10x+8

400

convert this into y-intercept form 15x-3y=30

y=5x-10

500

Convert this to y-intercept form 14x-y=-3

y=14x+3

standard form

100

convert y=3x + 7 to standard form

3x-y=-7

200

Convert to standard form y=8x+15

8x-y=-15

300

Convert this into standard form  y=10x+27

10x-y=-27

400

Convert this to standard form y=39x+27

39x-y=-27

500

Convert this to standard form y=9x-53

9x-y=53

point slope form

100

Convert this into y-intercept form y-6=4(x-3)

y=4x-6

200

 Convert this into y-intercept form y-2=2(x+3)

y=2x+8

300

Convert this into y-intercept form y-7=6(x+12)

y=6x+79

400

Convert this into Y-intercept form y+2=8(x-5)

y=8x-42

500

Convert this into Y-intercept form y-10=4(x-2)

y=4x+2

word problem

100

A plumber makes 4$ an hour and wants to calculate how much money she will make in I hours if they have to pay an equipment rental fee of 10$. Write an equation to show the relationship between money made per hour and total money made k.

k=4I-10

200

Pioneers are buying mules to trek across the country. Each of the 6 wagons require h mules to pull them. Write the equation to express the relationship between the total mules g they need to pull all the wagons if they need 2 spare mules. e.g. y=1x+1

g=6h+2

300

The town water tower is leaking 3 water units per day. Relate the amount of water lost x and the day y if 9 units were added via the reserve tank. e.g. y=1x+5

x=3y+9

400

The International Space Station (ISS) relies on solar panels and batteries for its power. When the ISS is in the shadow of the Earth, the battery drains at a rate of 10 power units per hour. Find the formula to relate the number of hours w to the amount of power loss v if the ISS gains 9 power units from a solar flare. e.g. y=1x+5

v=-10w-9

500

The city produces 2 jobs every year h. Write an equation to show the relationship between how many jobs are produced each year, and the total number of jobs g if there are already 1 available. e.g. y=1x+1

g=2h+1

finding slope using points

100

Find the slope of these two points (5,10)   (10,20)

m=2x

2

2x

200

Find the slope of these two points (0,15)    (10,95)

m=8x

8

8x

300

Find the slope of these two points (15,30)    (20,40)

m=2x 

2 

2x

400

Find the slope of these two points (20,700) (0,1500)

m=-40x

-40

-40x

500

Find the slope of these two points (8,152)   (12,228)

m=19x

19

19x