Solving Equations
Solve: 2+17x=-168
x=-10
(-13, 12) and (-19, 6)
m=1
The equation y=4x+30 can be used to represent the dancing company cost per month. What will the price be if someone wants to dance for 6 months?
$54
In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.
y=4x+30
Solve: 7(3-2x)=119
x=-7
(-1, 8) and (2, -16)
m=-8
The equation y=5x+20 can be used to represent joining a learning community per month. How much will it cost to join for 1 year?
$80
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
y=5x+20
Solve: -2(6x+5)=-82
x=6
(4, 11) and (8, 9)
m=-1/2
The equation y=-1x+40 can be used to represent how many days left Dailey has for community service. If Dailey is on his 13th day, how many hours does he have left to complete?
27 days
Dailey must complete 40 hours of community service for AVID. He completes 1 hour each day after school. Write a linear equation to represent the hours Dailey has left after x days.
y= -1x+40
Solve: -5(6x+3)-3=-198
x=6
(4, 0) and (-16, 2)
m=-1/10
The equation y=-30x+2000 represents how much money Mrs. Korth spends on gas weekly. How much money will she have in her account after 14 days?
$1840
Mrs. Korth has $2000 in her checking account. Each week she spends $30 on gas and charges it to her account. Write a linear equation to represent the money Mrs. Korth has left after x weeks.
y= -30x+2000
Solve: -6x-7(-5x+6)=161
x=7
(19, -4) and (19, -2)
m= undefined
The equation y=-5x+100 represents how many missing assignments Ben has each day. If Ben is on his 2nd week of making up missed work, how many more assignments does he have left to complete?
30 assignments
Ben has 100 missing homework assignments in total from all his classes. He plans to work on 5 homework assignments each day after school. Write a linear equation to represent the number of missing assignments Ben has left after x days.
y= -5x+100