Solve Equations with Variables on both sides I
3a-1<2a
a<1
3(2x-6) = 4(x+2)
x=13
2m - 16 + 5 m + 45
7m + 29
You have 2 x-tiles and 4 unit tiles on the left, and 2 x-tiles and 6 unit tiles on the right. Is x=1 a solution to this equation?
NO
5n+9>2n
n>-3
2x+3(x-4)=-x
x= -2
3(x + 4)
3x + 12
You have 3 x-tiles and 1 unit tile on the left, and x-tile and 7 unit tiles on the right. Is x=3x=3 a solution to this equation?
YES
8y-3>=6y+17
y>=10
One day Sally walked 3 miles per hour and started 1 mile from her house. The next day she jogged 5 miles per hour starting from her house. Write an equation to find the number of hours, h, Sally exercised if she went the same distance both days.
3h+1=5h
3(x+2)-5x+7
-2x+13
You have x-tile and 5-unit tiles on the left, and 2 x-tiles and 2-unit tiles on the right. What is the solution?
x=3
3/4x+8=2x-12
x=16
x+5<=4x+26
x>=7
Bronze Gym charges a membership fee of $50 plus $9 for each visit. 12-Hour Gym only charges $12 for each visit. Which inequality best represents the number of visits, v, when Bronze Gym costs less than 12-Hour Gym? Miscellaneous
50 + 9v< 12v
7 - (2x+3)
-2x+4
You have 4 x-tiles and 3 unit tiles on the left, and 2 x-tiles and 9 unit tiles on the right. What is the solution?
x= 3
7x - 17 = 3x + 4 - 2x
x=7/2 or 3.5
x+5<4x+26
what is x > 7
Sara had $330 in her savings account when Chris opened a savings account with zero dollars.
Sara deposited $30 into her account each week for x weeks.
Chris deposited $50 into his account each week for x weeks.
The accounts did not earn interest.
Which inequality represents this situation when the amount of money in Sara’s account was greater than the amount of money in Chris’s account?
50x < 330 + 30x
-(3x-4) + 2x - 1
-x+3
You have 5 negative x-tiles and 2-unit tiles on the left, and 3 x-tiles and negative 8-unit tiles on the right. What is the solution?
4/5 or 0.8