Question 1
Question
If (x + 2)2 = ax2 + bx + c, what is the value of c - a?
Question 2
Question
There are three blue balls and four red balls in a spectacular vase.
What is the probability of drawing a blue ball followed by a red ball without replacing any balls?
Question 3
Question
In the above figure, BC is half the length of AD and the area of the shaded region is 20.
What is the area of the entire trapezoid ABCD?
Question 4
Question
a $ b = ab + ba
What is a $ x, if x = a?
Question 5
Question
Mike tutors kids in algebra for $6.60 per hour after school. He is meant to receive a 25 cent per hour raise after tutoring for six months.
What percentage increase in hourly pay will he receive?
Answer
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0.04%
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0.38%
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3.79%
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379%
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37.90%
Question 6
Question
Which of the following functions has an inverse?
Answer
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x2 + 2 (Please note x2 is x squared)
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x
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x2 (Please note x2 is x squared)
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x4 (Please note x4 is x squared)
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x2 + 6 (Please note x2 is x squared)
Question 7
Question
Mary Ann completed the Labor Day triathlon in 5 hours and 13 minutes. The triathlon consisted of a 0.5 mile swim, a 12 mile bike ride and a 4 mile run. It took her 56 minutes to complete the swim and 2 hours and 34 minutes to complete the bike ride.
Approximately how fast, in miles per hour, was Mary Ann going in the running portion of the triathlon?
Question 8
Question
When three times a number is added to 15, the result is 45.
What is the number?
Question 9
Question
The sum of two sides that form the right angle in a right angled triangle = 3.1. The product of those sides = 1.68.
What's the length of the hypotenuse?
Question 10
Question
What is the greatest common factor of 24 and 60?
Question 11
Question
What is the slope of the line perpendicular to the line 2y = 7x + 10?
Question 12
Question
Solve for x:
(x2 - 1) / (x - 1) = 2
(Please note that x2 is x squared)
Question 13
Question
There are three blue balls and four red balls in an urn.
What is the probability of drawing a blue ball?
Answer
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2 / 3
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1 / 3
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4 / 7
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3 / 7
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1 / 4
Question 14
Question
The following function gives the volume of fruit produced by each tree in a garden:
r(t) = 30 + 4at
where r(t) is the total basket of fruits, t is time in years, and a is a constant. If 50 baskets are picked in the first year from each tree, how many baskets will be picked in 5 years?
Question 15
Question
There are ten high school students at Tawana's birthday party. Each teenager dances with a partner to a slow song.
How many possible pairs of dancers could there be for this slow dance?
Question 16
Question
What is the mode of the following set of numbers?
(24, 23, 45, 23, 12, 24, 23, 23, 24)
Question 17
Question
Which of the following is the greatest common factor of 80 and 112?
Question 18
Question
One leg of a given right triangle measures 24 and its hypotenuse measures 30. A second right triangle has legs measuring 9 and 12.
What is the sum of the perimeters of the two triangles?
Question 19
Question
What is the next number in this series?
0, 3, 8, 15, ...
Question 20
Question
Given the equation of the line 2x + 3y = 9, find where the line intersects the x-axis.
Answer
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(2, 0)
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(0, 3)
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(4.5, 0)
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(0, 2)
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(0, 4.5)