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Question 1 of 10
1. Question
If x + 1 = 23, what is the value of 3x + 3 ?
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Question 2 of 10
2. Question
What is the sum of all the odd positive integers less than 100?
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Question 3 of 10
3. Question
A particular type of soup is made by combining water and cabbage so that the ratio of water to cabbage is 9 to 1 by weight. How many pounds of cabbage are needed to make 180 pounds of this type of soup?
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Question 4 of 10
4. Question
x = 4m2
y = (2m+ 1)(2m− 1)
Given the two equations above, what is y in terms of x ?
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Question 5 of 10
5. Question
If 2a + 3b = 12, and 3b − 4 = 2, then what is the value of a ?
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Question 6 of 10
6. Question
A particular fraction is equivalent to 1/2. If 3 is added to the numerator, and 4 is added to the denominator, the fraction becomes equivalent to 3/5. What was the denominator of the original fraction?
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Question 7 of 10
7. Question
A triangle is to be changed by increasing the length of its base by 40% and decreasing the length of its height by 40%. Which of the following must be true about the area of the triangle?
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Question 8 of 10
8. Question
If x/0.5 + y/0.2 = 18, where x and y are positive integers, then what is the value of x ?
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Question 9 of 10
9. Question
For all numbers x, y, and z, let x#y#z be defined by x#y#z = x − y + z. What is the value of 1#2#3 ?
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Question 10 of 10
10. Question
Twelve more than twice a certain number is six fewer than three times the number. What is the number?
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