The document outlines the steps for solving one-step and two-step equations. It explains that equations follow the same properties as normal arithmetic, including distributing, combining like terms, and canceling out variables. It emphasizes that the inequality sign must be switched if multiplying or dividing by a negative number. Key words used in word problems involving inequalities are defined. Examples of one-step inequalities are provided and answers are given on the next page to check work.

2. THE STEPS
•THE STEPS ARE JUST LIKE EQUATIONS!
•1. DISTRIBUTE FIRST, LIKE: 2(X – 6) = 2X – 12
•2. COMBINE ON THE SAME SIDE, LIKE: 2X + 3 + 4X – 9 BECOMES 6X – 6
•3. CANCEL VARIABLES ON THE OPPOSITE SIDE, LIKE: 3X + 8 = 5X – 2 BECOMES -2X + 8 = -2
•4. SOLVE THE TWO STEP EQUATION.
•BUT DON’T FORGET TO SWITCH THE INEQUALITY SIGN IF YOU
MULTIPLY OR DIVIDE BY A NEGATIVE!!!!!

3. KEY WORDS
•IT’S VERY IMPORTANT THAT YOU KNOW WHAT THE WORDS MEAN IN THE WORD
PROBLEMS!
SOME ARE:
•GREATER THAN: MORE, ABOVE, LARGER THAN
•GREATER THAN OR EQUAL TO: AT LEAST, MINIMUM, NOT LESS THAN
•LESS THAN: FEWER, LESS, LOWER, BELOW
•LESS THAN OR EQUAL TO: NO MORE THAN, MAXIMUM, AT MOST

4. EXAMPLES

5. TRY A COUPLE!
1) 3X – 12 < 21
2) 2(-4X + 1) ≥ 60
3) 7X + 4 ≤ 2X – 11
NOW CHECK YOUR ANSWERS ON THE NEXT
PAGE!

6. ANSWERS
1) X < 11
2) X ≤ -7.25
3) X ≤ -3
NOW GO ACE THAT TEST!!!