Algebra ( Period 1)

SOLVING MULTI-STEP EQUATIONS 2-3

You’re doing Order of Operations working BACKWARDS

TWO STEP EQUATIONS
1. Use the ADDITION/SUBTRACTION PROPERTIES OF EQUALITY first
(get rid of addition or subtraction)
2. Use the MULTIPLICATION/DIVISION PROPERTIES OF EQUALITY second
(get rid of multiplication/division)

When the coefficient is a variable, use the multiplicative inverse property and multiply by the reciprocal.

CONSECUTIVE INTEGER PROBLEMS:

Consecutive integers are integers that are one after another like 1, 2, 3, etc,

So if n is the first consecutive integer, the next one would be n + 1 and the 2nd one would be n + 2

Consecutive EVEN integers are 2 apart beginning with an EVEN integer like 2, 4, 6 etc.

So if n is the first consecutive EVEN integer, the next one would be n + 2 and the 2nd one would be n + 4

Consecutive ODD integers are also 2 apart beginning with an ODD integer like 1, 3, 5 etc.

So if n is the first consecutive ODD integer, the next one would be n + 2 and the 2nd one would be n + 4

You can write equations with consecutive integers.

For example, the sum of 3 consecutive ODD integers is -51, find all 3 integers:

n + (n + 2) + (n + 4) = -51

3n + 6 = -51

3n = -57

n = -19

n + 2 = -19 + 2 = -17

n + 4 = -19 + 4 = -15

CHECK TO THE ORIGINAL WORD PROBLEM:

-19 + -17 + -15 = -51