Basic Solving
Solve r + 2/3 = 1/3
r = -1/3
Solve 3(2x +5) = 33
x = 3
Solve |x - 1| = 4
x = 5 and x = -3
Solve the formula for r.
d = rt
r = d/t
How much money must you deposit in a simple interest account to earn $500 in interest in 5 years at 4% annual interest?
$2,500
Solve -9z = -27
z = 3
A gym charges $10 per class and a one-time $20 registration fee. After attending a few classes, your total bill was $80.
Which equation matches this situation, where c represents the number of classes attended?
Choices:
A. 10c + 20 = 80
B. 20(c + 10) = 80
C. 10 + 20c = 80
D. c(10 + 20) = 80
a. 10c + 20 = 80
Solve |3 + x| = -5
No Solution
Solve for y.
20 = 8x + 4y
5 - 2x = y or y = 5 - 2x
You deposit $5,000 in an account that earns simple interest. After 2 years, the account earns $650 in interest. What is the annual interest rate?
0.065 or 6.5%
Solve 2.5x - 13 = 2
x = 6
Solve 20x + 10 = 30x + 10
x = 0
Solve 2|-8w + 6| = 76
Solve for x.
y = 5x - 4x
y = x or x = y
You deposit $2000 in an account that earns simple interest at an annual rate of 4%. How long must you leave the money in the account to earn $800 in interest?
10 years
Solve -12 = 9x - 6x + 15
x = -9
Solve -2(x+7) + 3 = 1
x = -6
The recommended mass of a soccer ball is 430 grams. The actual mass is allowed to vary by up to 20 grams. Write the absolute value equation for the acceptable soccer ball masses.
|x - 430| = 20
Solve the formula for h.
A = (1/2)bh
h = 2A / b or h = A / 0.5b
You deposit $3,000 into an account that earns simple interest at an annual rate of 3.5%. How much interest does the account earn after 6 years?
$630
The altitude a (in feet) of a plane t minutes after takeoff is given by a = 3400t + 600. How many minutes after takeoff is the plane at an altitude of 21,000 feet?
t = 6 minutes
Solve 5(1 + 2m) = 0.5(8 + 20m)
No Solution
Solve |5x - 2| = |5x + 4|
x = no solution and x = -0.2
The total cost c (in dollars) to participate in a ski club is given by C = 85x + 60, where x is the number of ski trips you take.
Solve the equation for x.
x =(c - 60) / 85
You deposit money into an account that earns simple interest at an annual rate of 8%. After 5 years, the account earns $1,200 in interest. How much total amount of money is in the account after 5 years?
$4,200