One and Two Step Eqs
Solve.
26 = 8 + v
v = 18
Solve.
6a + 5a = 11
a = -1
A delivery service charges a base fee of $5 plus $2.50 for each package delivered. If the total cost for delivering a certain number of packages is $25, determine how many packages were delivered.
8 packages were delivered.
6/a = 3/8
16
Simplify.
-4(-6p + 7)
24p - 28
-17x = -204
x = 12
Solve.
-10 = -14v + 14v
No solution!
A youth club is organizing a camping trip. The initial number of boys signed up is 40, and each week, 2 more boys joined the trip.
How long will it take for there to be 100 boys signed up?
It will take 30 weeks for 100 boys to be signed up.
20% of 120 is what number?
24
What percent of 480 is 132?
27.5%
Solve.
8n + 7 = 31
n = 3
Solve.
30 = -5(6n + 6)
n = -2
Sofia rented equipment for moving day. The company charged $32 per hour for a van and $18 per hour for a dolly, along with a flat insurance fee of $25. If Sofia’s total bill was $203, and she rented both the van and the dolly for the same number of hours, how many hours did she rent them?
3.56 hours
Gabriella bought 3 cantaloupes for $7. How many cantaloupes can she buy for $21?
9
Simplify.
12 - 4(5 - 9)2
-52
Solve.
-6 = (n/2) - 10
n = 8
Solve.
-5(4x - 2) = -2(3 + 6x)
x = 2
Mrs. Waller has $50 and decides to save $5 each week. Ms. Rafalzik has no savings initially but saves $8 each week.
After how many weeks will they have the same amount of money saved?
After approximately 17 weeks, Mrs. Waller and Ms. Rafalzik will have the same amount of money saved (answer is 16.67).
5/(r - 9) = 8/(r + 5)
r = 3233/100
Write y as a function of x.
4x - 5y = -20
y = 4/5x + 4
Solve.
(v+9)/3 = 8
v = 15
Solve.
5(2x + 6) = -4(-5 - 2x) + 3x
x = 10
Two moving companies offer different pricing plans. QuickMove charges a $50 base fee plus $1.20 per mile. Speedy Movers charges a $70 base fee plus $1.00 per mile.
For what moving distance will the total cost from both companies be the same?
100 miles
What is the percent change from 2150 miles to 7895 miles?
267% increase.
Solve for y.
ax + by = c
y = (c - ax)/b