Solving Multi-Step Equations
Multi-Step Equations with Fractions/Decimals
Solving Two-Step Inequalities
Transforming Formulas
Simple & Compound Interest
100

Solve for the variable:
 10 - 5x = 15 

x = -1

100

Solve for the variable:

8-t/2=53

t = -90

100

Solve and graph for the variable:
 3x + 18 > 12 

x > -2


100

Transform the formula to solve for the variable: p
 s = p + c 

p = s - c

100

Find the simple interest and the new balance:
$450 deposit at 2% interest rate, for 4 years

Simple Interest: $36
Balance: $486

200

Solve for the variable: 5 - 2 ( y - 5 ) = 27 

y = -6

200

Solve for the variable:
 0.05x - 0.08 + x = 0.97 

x = 1

200

Solve and graph for the variable:

19-3x>=-2

x<=7

200

Transform the formula to solve for the variable: y
 x + y = 180 

y = 180 - x

200

Find the simple interest and the new balance:
$3000 deposit, at 3% interest rate, for 30 months

Simple Interest: $225
Balance: $3225

300

Solve for the variable:
 62 = -12z + 14 

z = -4

300

Solve for the variable:

75 =m/3+10

m = 195

300

Solve and graph for the variable:

-5(a-3)<=45

a>=-6

300

Transform the formula to solve for the variable: a
 a - b = c 

a = b + c

300

Find the new balance on the following:
$9000 deposit, 6% compounded annually, for 5 years

New Balance: $12,044.03

400

Create the equation and solve for the variable:
negative three times a variable n plus four equals two.

-3n + 4 = 2

n = 2/3

400

Solve for the variable:

3/5p+18=24

p = 10

400

Solve and graph for the variable:

1/2(t-6)<=22

t<=50

400

Transform the formula to solve for the variable: p
 I = prt 

p = I/(rt)

400

Find the new balance on the following:
$12,000 deposit, 3% compounded semi-annually, for 8 years

New Balance: $15,227.83

500

Dan has $265 in his checking account. He spent $60 and deposits d each week for 5 weeks. His final balance is $330. How much did he deposit each week? Write and solve an equation.

265 - 60 + 5d = 330

= $25

500

A rental car company charges $20 per day plus $0.15 per mile. The bill for two days was $49.75. How many miles did the customer drive, write and solve an equation.

20(2) + 0.15m = 49.75

m=65

500

A student received grades of 75, 90, and 83 on three math tests. What grade does the student need on the fourth test to have an average of at least 85? write and solve an inequality.

(75+90+83+x)/4>=85; x>=92

500

A runner signed up for a 10-mile race. How long will it take the runner to complete the race if he runs at a rate of 8 miles/hour. Use d=rt to solve.

d = rt

10=8t

t=1 hour & 15 minutes

500

Ms. Simpson takes out a $1200 loan that charges 8% interest compounded semi-annually. Suppose she makes no payments on the loan for 6 years. What would her balance be at the end of the 6 years?

Balance: $1921.24