One-Step
Solve the equation
36+x=63
x=27
Solve the equation
5c+3=18
c=3
Solve the equation
6b+7+5b=17
b=10/11=0.bar90
Solve the equation
6v-4=-3v+59
v=7
Solve the equation
5/9=g/27
g=15
Solve the equation
110=11w
w=10
Solve the equation
y/3+5=14
y=27
Solve the equation
30=-5(6n+6)
n=-2
Solve the equation
9(g-4)=9g-36
Infinitely Many Solutions
Solve the equation
(y+4)/27=14/18
y=17
Solve the equation
2/5x=2/7
x=5/7
Solve the equation
12=(4+a)/2
a=20
Solve the equation
-13=5(1+4m)-2m
m=-1
Solve the equation
(-6x+10)/2=-3x
No Solution
Solve the equation
(2b+14)/8=(1-2b)/12
b=-4
Margo is repaying a loan from her parents. She has already paid $315 and still owes them $1,245. Write and solve an equation to find the original amount a of the loan.
a-315=1245
a=$1,560
Randy’s parents gave him an allowance of d dollars each month. One month, he put half of his allowance in the bank and then bought a book for $8. He had $12 left in his pocket after buying the book. Write and solve an equation to find the value of Randy’s monthly allowance.
1/2d -8=12
d=$40
Solve the equation
-5n-8(1+7n)=-8
n=0
At one store a trophy costs $12.50. Engraving costs $0.40 per letter. At another store, the same trophy costs $14.75. Engraving costs $0.25. Write and solve an equation to find how many letters, e, must be engraved for the costs to be the same?
12.50+0.40e=14.75+0.25e
e=15
A car uses 5 gallons of gasoline to travel 97.5 miles. At this rate, write and solve an equation to find how many miles can the car travel using 15 gallons of gasoline?
5/97.5=15/x
x=292.5
Gustavo has been waiting to purchase an acoustic guitar. This week, the guitar is on sale for 3/4 of the original price. With the sale, Gustavo paid $90, without tax, for the guitar. Write and solve an equation to find the original price p of the guitar.
3/4p=90
p=$120
Brooke went bowling with her friends. She bowled 3 games, and her average score for those games was 121. She had 117 her first game and 108 her second game. Write and solve an equation to find g, the score of her third game.
(117+108+g)/3=121
g=138
Solved the equation
5(2x+6)+4(-5-2x)-3x=0
x=10
In 2015, South Bend, Indiana, saw one of its snowiest Februarys on record. The snowfall in 2015 was 0.6 inch more than twice the snowfall in 2020. The snowfall in 2015 was also 8.35 inches fewer than 2.5 times the snowfall in 2020. Write and solve an equation to find the amount of snowfall in February 2020.
2f+0.6=2.5f-8.35
f=17.9
Solve the equation
(5d+1)/7=(6d-5)/15
d=-50/33=-1.bar51