Expression & Equations
One step: Addition
10 + x = 4
what is x = - 6
Elimination:
2x-y=2 2x+y=6
what is (2,2)
x=2
y=2
y + 2 = -5x
what is A=5, B=1, C=-2
| 2x + 3 | = 5
what is x =1 and x = -4
Two step: Subtraction
4 x - 7 = 13
what is x = 5
Elimination:
x+y=7 3x-y=1
what is (2,5)
x=2
y=5
6y = 4x + 4
what is A=4, B=-6, C=-4
| 3x + 2 | = 1
what is x = -1/3 and x = -1
Multi Step:
3(x+1)=5+x
what is x=1
Elimination:
6x+15y=3 -6x+4y=-22
what is (3,-1)
x=3
y=-1
use y = mx + b to solve:
(1,-7) (-5,0)
what is y = -7/6 - 5 5/6
| x - 5 | = 3
what is x = 8 and x = 2
Translation:
Seven divided by a number
what is 7/x
Elimination:
2x+3y=8 4x-3y=-2
what is (1,2)
x=1
y=2
use y=mx+b to solve:
(6,-7) (8,5)
what is y = 6x - 43
| x - 3 | > 1
what is x > 4 and x < 2
Word Problem:
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644.
Write an equation to determine the number of albums Floyd sold last month.
Find the number of albums Floyd sold last month.
what is equation = 200 + 12a =644
what is albums = 37
Elimination: Solve for y ONLY
10x-45y=40 -10x+16y=-40
what is y=0
use y=mx+b to solve:
(2,7) (0,7)
what is y = 7
Pretend that you're allowed to go within 9 of the speed limit of 65 mph without getting a ticket.
Write an absolute value inequality that models this situation.