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Lesson 3-4
Solving Multi-Step Equations
Definition
• Working Backward- work the axiom of
order backwards.
Examples
• Solve each problem by working backwards.
– A) A number is multiplied by seven, and then the
product is added to 13. The result is 55. What is
the number?
– B) A bacteria population triples in number each
day. If there are 2,187,000 bacteria on the
seventh day, how many bacteria were there on
the first day?
Definition
• Multi-step equations- an equation with
more than one type of operation.
Solve. Then check your solution.
a) 5q  13  37
b)
r 8
c)
 2
3
s
 9  11
12
Write an equation for the problem below.
Then solve the equation.
• Eight more than five times a number is
negative 62.
Definitions
• Consecutive integers- are integers in
counting order, such as 7, 8, and 9.
• Number theory- The study of numbers
and the relationship between them.
• Find three consecutive odd integers
whose sum is 57.
• Find three consecutive integers whose
sum is 42.
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