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Question 1 of 10
1. Question
How old are the twins Mark and Mike if three times Mark’s age plus four equals four times Mike’s age minus 14?
Correct
Please note that since the boys are twins, their ages are the same. You must follow the following solution in order to arrive at the answer: (1) Let x = their age. (2) 3x + 4 = 4x – 14 (3) 18 = x. The boys are each 18 years old.
Incorrect
Please note that since the boys are twins, their ages are the same. You must follow the following solution in order to arrive at the answer: (1) Let x = their age. (2) 3x + 4 = 4x – 14 (3) 18 = x. The boys are each 18 years old.

Question 2 of 10
2. Question
How many tickets worth $25 each must they sell if the YMCA wants to sell raffle tickets to raise $32,000, and they must pay $7,250 in expenses and prizes out of the money collected from the said tickets?
Correct
Please note that you must follow the following solution in order to arrive at the answer: (1) Let x = number of tickets sold. (2) Then 25x = total money collected for x tickets. (3) Total money minus expenses is greater than $32,000. (4) 25x – 7250 = 32,000 (5) 25x = 39350
x = 1570. (6) If they sell 1,570 tickets, they will raise $32,000.Incorrect
Please note that you must follow the following solution in order to arrive at the answer: (1) Let x = number of tickets sold. (2) Then 25x = total money collected for x tickets. (3) Total money minus expenses is greater than $32,000. (4) 25x – 7250 = 32,000 (5) 25x = 39350
x = 1570. (6) If they sell 1,570 tickets, they will raise $32,000. 
Question 3 of 10
3. Question
What is the wholesale price of a sofa that sells for $520 if the retailer makes a 30% profit?
Correct
Please note that you must follow the following solution in order to arrive at the answer: (1) Let x be the wholesale price. (2) Then 1x + .30x = 520, 1.30x = 520. (3) Divide both sides by 1.30, and x = 400.
Incorrect
Please note that you must follow the following solution in order to arrive at the answer: (1) Let x be the wholesale price. (2) Then 1x + .30x = 520, 1.30x = 520. (3) Divide both sides by 1.30, and x = 400.

Question 4 of 10
4. Question
What percent of 600 is 303?
Correct
Please note that you must follow the following solution in order to arrive at the answer: (1) Use x for the percent. 600x = 303. 600x/600 = 303/600; x=0.505= 50.5%.
Incorrect
Please note that you must follow the following solution in order to arrive at the answer: (1) Use x for the percent. 600x = 303. 600x/600 = 303/600; x=0.505= 50.5%.

Question 5 of 10
5. Question
What is the percent of decrease if an item that sells for $375 is put on sale at $120?
Correct
Please note that you must follow the following solution in order to arrive at the answer: (1) Use (1 – x) as the discount. 375x = 120.(2) 375(1− x) = 120→375 − 375x = 120→375x = 255 → x = 0.68 = 68%.
Incorrect
Please note that you must follow the following solution in order to arrive at the answer: (1) Use (1 – x) as the discount. 375x = 120.(2) 375(1− x) = 120→375 − 375x = 120→375x = 255 → x = 0.68 = 68%.

Question 6 of 10
6. Question
The cost of gas is $3.27 per gallon. If your tank holds 15 gallons of fuel, and you are using two tanks a week, about how much will you save weekly if the price of gas goes down to $2.30 per gallon?
Correct
Please note that you must follow the following solution in order to arrive at the answer: (1) 15 gallons x 2 tanks = 30 gallons a week (2) 30 gallons x $3.27 = $98.10 (3) 30 gallons x $2.30 = $69.00 (4) $98.10 – $69.00 = $29.10 is about $29.00.
Incorrect
Please note that you must follow the following solution in order to arrive at the answer: (1) 15 gallons x 2 tanks = 30 gallons a week (2) 30 gallons x $3.27 = $98.10 (3) 30 gallons x $2.30 = $69.00 (4) $98.10 – $69.00 = $29.10 is about $29.00.

Question 7 of 10
7. Question
How much was an aardvark steak dinner if the Simpsons went out for dinner, all 4 of them ordered the aardvark steak dinner, and Bert paid for the 4 meals and included a tip of $12 for a total of $84.60?
Correct
Please note that you must follow the following solution in order to arrive at the answer: (1) Let x = the price of one aardvark dinner. (2) 4x = the price of 4 aardvark dinners. (3) 4x + 12 = 84.60 (4) 4x = 72.60 (5) $18.50 for each dinner.
Incorrect
Please note that you must follow the following solution in order to arrive at the answer: (1) Let x = the price of one aardvark dinner. (2) 4x = the price of 4 aardvark dinners. (3) 4x + 12 = 84.60 (4) 4x = 72.60 (5) $18.50 for each dinner.

Question 8 of 10
8. Question
From a standard deck of cards, what is the probability of drawing 2 consecutive aces?
Correct
You must follow the following solution in order to arrive at the answer: (1) There are 4 aces in the 52 card deck. (2) P(first ace) = 4/52. (3) P(second ace) = 3/51. (4) P(first ace and second ace) = P(one ace) x P(second acefirst ace) = 4/52 x 3/51 = 1/221.
Incorrect
You must follow the following solution in order to arrive at the answer: (1) There are 4 aces in the 52 card deck. (2) P(first ace) = 4/52. (3) P(second ace) = 3/51. (4) P(first ace and second ace) = P(one ace) x P(second acefirst ace) = 4/52 x 3/51 = 1/221.

Question 9 of 10
9. Question
How much does she spend in gas if Sara travels 39 miles to class, 25 miles to work, and 14 miles to see her friend? How would you explain the operation needed to arrive at the answer?
Correct
Please note that the problem does not state how much the gas costs.
Incorrect
Please note that the problem does not state how much the gas costs.

Question 10 of 10
10. Question
The teacher is teaching her thirdgrade students the concept of multiplication. What is another way she might state 4 x 5?
Correct
Keep in mind that the multiplication concept can translate to an addition problem. To be specific, 4 x 5 is the same as the number 4 added 5 times.
Incorrect
Keep in mind that the multiplication concept can translate to an addition problem. To be specific, 4 x 5 is the same as the number 4 added 5 times.