One, No, or Infinite Solutions
One, No, or Infinite Solutions?
2x+2=2+2x
Infinite Solutions
5b-6=b+18
b=6
Make this equation have no solutions
3x+____x+9=-4x+9
-7
7+y=21
y=15
False
y=14
When the plumber comes to my house to fix the leaky faucet, he charges a flat rate of $50 in addition to charging $22 per hour. If the final bill was $116, how long was the plumber at my house?
50+22h=116
h=3
One, No, or Infinite Solutions?
3x+3=3x-3
No Solution
-2b-3=6b+13
b=-2
Make this equation have infinite solutions
18x+9=___(6x+3)
3
4y+1=25
y=6
True
Joe earns $425 a week for working 40 hours and an additional $20 an hour for each hour over 40. Last week, Joe made $485. Write and solve an equation to determine how many hours over 40 he worked.
425+20h=485
h=3
One, No, or Infinite Solutions?
-4(x+3)=3x-12+x
Infinite Solutions
38+7x=8(x+4)
x=6
Make this equation have infinite solutions
2x-1=13x-____x-8+___
11, 7
5+14a=9a-5
a=2
False
a=-2
Your school is having a fundraiser. You are selling candy bars that have been donated by the Hershey Company. You set a personal goal of raising $200 for your school and met that goal. You sold a total of 120 candy bars and one neighbor gave you a $20 donation without taking any candy bars. Write and solve an equation to determine how much each candy bar sold for.
$1.50 per candy bar
One, No, or Infinite Solutions?
4x-8+5x+6=2x-2+7x
Infinite Solution
4x-40=7(-2x+2)
x=3
Make this equation have no solutions
_____x-15f+18=6(5x-3)
45
7(2c-1)-11=6(1c+1)
c=3
True
For Amy’s cellular phone service, she pays $32 per month plus $0.75 for each minute. Amy received a bill for $47 last month. How many minutes did Amy use?
32+.75m=47
m=20
One, No, or Infinite Solutions?
2(x+4)=2(8-x)-4x
One Solution
x=1
-31-4x=-5-5(1+5x)
x=1
Make this equation have infinite solutions
5(____a+____)=20a-10+5a+15
5, 1
4(3-c)+c=c+4
c=4
False
c=2
Tickets to a fundraiser are $14 if purchased ahead of time and $25 if purchased at the door. The total amount raised from all ticket sales was $625. If eleven tickets were purchased at the door, how many tickets were purchased ahead of time?
14t+25(11)=625