MCC9-12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. We will “translate” a word problem into an equation that represents it. But first, we need to understand some clues to help us translate the word problems into algebraic equations. ADDED TO ADDITIONAL ALL ALTOGETHER BOTH COMBINED IN ALL INCREASED BY MORE THAN SUM PLUS RAISE TOGETHER TOTAL CHANGED DECREASED BY DIFFERENCE DROPPED EXCEEDED FEWER HAVE LEFT LESS LOST MORE REDUCED REMAIN SUBTRACT TAKE AWAY MINUS AT MULTIPLIED BY **OF** PRODUCT OF TIMES TWICE CUT DIVIDED DIVISOR EACH EQUAL PARTS EVERY RATIO OF AVERAGE OUT OF QUOTIENT SEPARATE SHARED SPLIT PER ARE EQUALS GIVES IS IS THE SAME AS LEAVES MAKES RESULTS WAS WILL BE WERE YIELDS AT MOST NOT MORE THAN IS SMALLER THAN IS LESS THAN BELOW MAXIMUM IS NOT GREATER THAN IS MORE THAN IS GREATER THAN IS LARGER THAN ABOVE AT LEAST MINIMUM IS NOT LESS THAN NOT SMALLER THAN ~NUMBER (X) ~INTEGER (X) ~CONSECUTIVE INTEGER (X + 1) • • • • • • • Read through the entire problem. Highlight the important information and key words that you need to solve the problem. Identify and define your variables. Write the equation or inequality. Solve. Write your answer in a complete sentence. Check or justify your answer (optional). Two more than a number Five less than three times a number Seven times a number, increased by four The minimum value of a number is 65 Twenty is more than a number The difference of a number and three is not more than two. Thirty times a number is at most 90 The sum of 38 and twice a number is 124. Find the number. The sum of two consecutive integers is less than 83. Find the pair of integers with the greatest sum. A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width. The length of a rectangle is 4 cm more than the width and the perimeter is at least 48 cm. What are the smallest possible dimensions for the rectangle?