Linear Equations
x = 20
Solve for x:
x + by = c
x = c - by
Write an algebraic expression for:
Ten less than twice a number
2x - 10
What is 20% of 30?
6
What is |- 20.5 | ?
20.5
5x + 20 = 3x
x = -10
A = lw
w = A/l
The length of a rectangular field exceeds the width by 260 yards. If the perimeter of the field is 1000 yards, what are the dimensions?
width = 120 yards
length = 380 yards
30%
Write in (-oo, -1) in set builder notation
{x|x > -1}
2(x - 4) + 3(x + 5) = 2x - 2
x = -3
Solve for l:
P = 2l + 2w
l = (P - 2w)/2 or l = P/2 - w
You bought a car for $13,805. Its value is decreasing by $1820 per year. After how many years will its value be $4705?
5 years
After a 60% reduction, a jacket sold for $20. What was the jacket's price before the reduction?
$50
Simplify:
9x - [10 - 4 (2x - 3)]
17x - 22
Solve for x:
(2x)/3 = 6 - x/4
x =
72/11
Solve for F:
C = (5F - 160)/9
F =
(9C + 160)/5 or F = 9/5C + 32
A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 300 yards, what are its dimensions?
width = 50 yards
length = 100 yards
A salesperson earns $300 per week plus 5% commission of sales. How much must be sold to earn $800 in a week?
x = $10,000
Solve for P
T = p + PM
P =
(T - p)/M
Solve for x:
(3x + 1)/3 - 13/2 = (1 - x)/4
x =
77/15
Solve for r:
E = Ir + gr
r = E/(I +g)
You are choosing between two texting plans. One plan has a monthly fee of $15 with a charge of $0.05 per text. The other plan has a monthly fee of $5 with a charge of $0.07 per text. For how many text messages will the costs for the two plans be the same?
500 texts
Including 8% sales tax, an inn charges $162 per night. Find the inn's nightly cost before the tax is added.
$150
Solve for C
V = C - (C - S)/L . N
C = (LV - SN)/(L - N)