Distribution
Simplify 3(x+5).
3x+15
Simplify -3x-4x+6x.
-x
Set up the equation.
A bike rental company charges a flat fee of $10 plus $15 per hour of riding. If Jacob spent $85 in total, how many hours did he rent the bike for?
10+15x=85
Solve 8m-11=-11.
m=0
Solve x+3>7.
x>4
Simplify -4(-3x+1).
12x-4
Simplify -3+7x-3+8x-6y+7x-6y.
-6+22x-12y
Set up the equation.
Emma has three more than twice the number of books that her sister has. If Emma has 25 books, how many books does her sister have?
2x+3=25
Solve -17+(r/2)=-25.
r=-16
Solve (a/5)-6<6.
a<60
Simplify 0.3(2x-3)
0.6x-0.9
Simplify -4(2k-1)+9k-15.
k-11
Solve the problem.
The zoo offers a membership that costs $50 to join plus $15 for each additional guest entry. If Oliver spent $170, how many additional guests did he bring?
8 guests.
Solve (v/-0.8)+14=39.
v=20
Solve (-3/8)x-16<-25
x>24
Simplify (1/2)(5x-3)
(5/2)x-(3/2)
Simplify -h-5(h+7)-29
-6h-64
Set up the inequality.
The school committee wants to hold a dance at a banquet hall that costs $700 to rent. If they sell each ticket for $8, how many tickets will they need to sell in order to raise $1000?
8x-700>=1000
Solve -1=(-5/8)c+9.
c=16
10+(x/-4)<6
x>16
Simplify (-2/3)(-35x+4y)
(70/3)x-(8/3)y
Simplify -4(15x-3y)+5(6x-6y).
-30x-18y
Solve the inequality.
Sam has $475 in savings at the beginning of summer. He wants to have at least $150 in the account by the end of the summer. He withdraws $25 each week for food. How many weeks will his money last?
x>=13 weeks
Solve 9=(m+17)/(-2).
m=-35
(x-26)/7>-3
x>5