1-2 Linear
1-3 Variable on Both Sides
1-4 Literal Equations
100
x=12
100
31x+55=115+x
x=2
100
C=2\pir
Solve for r.
r=\frac{C}{2\pi}
200
-60=3(6x+4)
x=-4
200
-10+4x=2(10+4x+1)
No solution
200
A=\frac{1}{2}bh
Solve for h.
h=\frac{2A}{b}
300
The sum of two consecutive integers is 177. What are the two integers in order?
88, 89
300
Infinite Solutions
300
y=\frac{3}{4}(x+7)
Solve for x.
x= \frac{4y}{3}-7
400
The sum of three consecutive odd integers is 309. What are these integers in order?
101, 103, 105
400
I am considering two movie rental services. Movie Service A costs a flat $20 per month with a $3 charge per movie. Movie Service B has no monthly fee, but charges $8 per movie. How many movies would I have to rent in order for the costs of both services to be equal?
4 movies
400
a=\frac{9}{2}bhe-8
solve for h
h = \frac{2a+16){9be}
500
I go to the farmer's market 4 times. Each time, I buy 2 loaves of bread that cost $7 each and one jar of jam. In total, I spend $70. How much does a jar of jam cost?
$3.50
500
Tonya's dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she does charge $5 per mile that each dog is walked. What is the minimum number of miles that makes Tonya's service cheaper?
11 miles
500
The formula for the volume V of a cylinder is
V=\pir^2h
where r is the radius of the base and h is the height of the cylinder. Solve the formula for h. Find the height of a cylinder with a volume of
36\picm^3
and a base with radius 3cm.
h=\frac{V}{\pir^2}
h=4cm