percent = (part/whole)Which can be rewritten as, part = percentwhole
In regards to percent problems, what can the following be seen as?1. %2. of3. what4. is
1. /1002. multiplication3. a variable4. =>>Solve.42 is what percent of 70?Work:42 = (x/100)7042/70 = x/100x = 4200/70x = 0.60 or 60% (answer)
What is the formula when a percent increases or becomes greater?
percent increase/decrease = (change / original (smaller) number)>>What is the formula when a percent decreases or becomes less?percent decreases/less = (change / original (larger) number)>>Solve. A camera that originally cost $125 was sold on sale for $100. The sale price was what percent less than the original price?Work:percent decrease = (100/125)percent decrease = 0.20 or 20% (answer)
What is the classic ratio formula?
What is the ratio of (part/(to (part or whole))">>Solve. A class contains 12 male students and 21 female students. What is the ratio to male students to female students? What is the ratio of male students to all the students in the class?Work:The ratio of male students to female students is 12:21, or 12/21 (or 4/7).The ratio of male students to all the students in the class is 12/33, or 4/11.(This is because there are 33 students total.)
Solve. A picture that is 4 inches wide and 6 inches long is enlarged so that it is 7.5 inches long. What is the width of the enlarged picture?
Work:It was originally 4/6, but it is now w/7.5, w = width.So, (4/6) = (w/7.5)Solving for w, w = 7.5(4/6)w = 5
What are the rate formulas? (3)
1. rate = distance/time2. rate = amount/time3. rate = cost/units>>Solve. A waitress serves 3 diners every 5 minutes. At this rate, how many customers will she serve in one hour?Work:(3 diners)/(5 minutes) = (x diners) / (60 minutes). Solving for x, [(60 minutes)(3 diners)]/(5 minutes) = x dinersx diners = 36
What is the formula for an "average"?
Average = (sum of the terms) / (number of terms)
What is the formula for a "probability"?
Probability = (number of favorable outcomes) / (number of possible outcomes)>>Solve. If there are 12 books on a shelf and 9 of them are mysteries, what is the probability of picking a mystery?Work:9 (favorable outcomes) / 12 (possible outcomes)9/12 = 0.75 or 75%
In order to find the probability that two events will occur, what must one do? (2)
1. Find the probability that the first event occurs.2. Multiply this by the probability that the second event occurs given that the first event occurs. >>Solve. If there are 12 books on a shelf and 9 of them are mysteries, what is the probability of picking a mystery first and a non-mystery second if exactly two books are selected?Work:1. Probability of picking a mystery is:9 (favorable outcomes) / 12 (possible outcomes)9/2 = ¾ (simplified)2. Probability of picking a non-mystery is:3 (favorable outcomes) / 11 (possible outcomes)11 is due to the mystery book having been picked already. 3/11Probability of picking both books is:(¾)(3/11) = 9/44
In regards to arithmetic word problem translation, what are the translations for "+"? (5)
1. Sum2. Plus3. More than4. Added to5. Combined6. Total
In regards to arithmetic word problem translation, what are the translations for "-"? (4)
1. Minus2. Less than3. Difference between4. Decreased by
In regards to arithmetic word problem translation, what are the translations for "="? (6)
1. Is2. Was3. Equals4. Is equivalent to5. Is the same as6. Adds up to
In regards to arithmetic word problem translation, what are the translations for "*"? (7)
1. Times2. Product3. Multiplied by4. Of5. Twice6. Double7. Triple
In regards to arithmetic word problem translation, what are the translations for "/"? (6)
1. Divided by2. Over3. Quotient4. Per5. Out of6. Into
In regards to arithmetic word problem translation, what are the translations for a variable? (4)
1. What2. How much3. How many4. A number
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