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Problem 1
What is the solution of the equation ?
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Problem 2
The admission fee at a small fair is $1 for children and $5 for adults. On a certain day, 1000 people entered the fair and $1,500 was collected. How many children attended the small fair on that day?
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Problem 3
What is the slope of the line whose function f satisfies f(1) = 6 and f(4) = –8?
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Problem 4
The triangle PQR is a right triangle. What is the value of x in the triangle PQR?
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Problem 5
What percent of 160 is 20?
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Problem 6
The area of the parallelogram PQRS is given by the polynomial x2 + x – 42.
If the length of the side is given by x
+ 7, what is the distance between the line segments and ?
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Problem 7
If the x-intercepts of a parabola are 1 and –5, what is the equation of the axis of symmetry?
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Problem 8
A bag contains 3 red balls, 4 black balls and 5 green balls. One ball is picked up from the bag randomly. What is the probability of getting a red or a green ball?
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Problem 9
Which of the following graphs represents y as a function of x?
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Problem 10
What is 3,400,000 in scientific notation?
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Problem 11
What is the greatest common factor (GCF) of 14 and 49?
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Problem 12
What is the simplest form of the expression
?
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Problem 13
What is the distance between the two points (3, 2) and (–5, 6)?
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Problem 14
What is the solution of the equation ?
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Problem 15
Which graph represents the solution of the inequality 8x 32?
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Problem 16
Which graph represents the solutions of the equation | m – 1| = 4?
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Problem 17
What is the simplest form of the expression
?
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Problem 18
What is the equation of axis of symmetry for the parabola y = 12x2?
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Problem 19
If one letter is chosen at random from the letters in the word "example", what is the probability of choosing the letter "x"?
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Problem 20
What is the value of x that satisfies the proportion ?
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Problem 21
Jim bought 7 books. Some books cost $10 each and some cost $20 each. In all, he spent $210. Which system of linear equations represents the given situation?
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Problem 22
What are the possible values of x if the distance between the points (x, 8) and (–5, 3) is units?
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Problem 23
What is the slope of the line shown?
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Problem 24
Which system of linear inequalities defines the shaded region?
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Problem 25
Which of the following points lies on the graph of the function
y = 2(3)x?
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Problem 26
Which of the following graphs represents the parabola
y + 3 = 2x2
+ 4x +2?
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Problem 27
What is the simplest form of the expression
?
(Disregard values which for which the original expression is undefined.)
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Problem 28
What is the value of p in the equation
?
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Problem 29
What is the complete factorization of the polynomial 64x3 – 121x?
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Problem 30
Which of the following statements is true about the given system of linear equations?
x – y = 2
–2x + 2y = –1
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Problem 31
What is the equation of variation if y = 18 when x = 6, and y varies directly as x?
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Problem 32
What are the solutions for the quadratic equation
2x2 – 12x – 32 = 0?
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Problem 33
What is the solution of the equation 8x – 7 = 33?
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Problem 34
The perimeter of a rectangle is 32 units. Its width is 6 units. What is the area of the rectangle?
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Problem 35
What is the value of y if
?
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Problem 36
What is the equation of the line joining the points (1, 1) and (7, 2)?
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Problem 37
The scatter plot shows the population of Central City during certain years.
Which best describes the correlation shown in the scatter plot?
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Problem 38
What is the interquartile range for the given set of temperatures?
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Problem 39
The original price of a watch is $60. After the discount, the new price is $54. What is the price discount as a percent?
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Problem 40
A number increased by 50 is equal to 199. What is the number?