List of practice Questions

The graph of which of the following equations is a straight line that is parallel to line M in the figure above and intersects the negative direction of Y-axis?
Indicate all such equations.
[Note: Select one or more answer choices]
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Which of the following statements individually provide enough information to determine the number of students in a group?
Indicate all such statements.
[Note: Select one or more answer choices]
What could be the values of integers from 180 to 300, inclusive, that leave the remainder 2 when divided by 15 and by 9?
Indicate all such statements.
[Note: Select one or more answer choices]
A 120-milliliter mixture of Chemical X and water contained 40 percent Chemical X. A part of the mixture was removed and replaced with an equal quantity of water. If the resulting mixture contained 10 percent Chemical X, what is the volume of the mixture that was removed?
Alice is twice as old as Tom, but four years ago, she was three years older than Tom is now. How old is Tom now?
If the average of two numbers is 3y and one of the numbers is y + z, what is the other number, in terms of y and z?
What is the value of the function f(x) = 6x² + 16x - 6 when x = -3?
Given f(x)=3x²-5 and g(x)=9-2x, find f(g(5)).
Find f(6) if f(x)=|x²+4x-127|
A function f(x) = -1 for all values of x. Another function g(x) = 3x for all values of x. What is g(f(x)) when x = 4?
Worker A can make a trinket in 4 hours, Worker B can make a trinket in 2 hours. When they work together, how long will it take them to make a trinket?
For all values of x, f(x) = 7x² - 3, and for all values of y, g(y) = 2y + 9. What is g(f(x))?
How much does the volume of a sphere increase if its radius is increased by 50%?
Given the functions f(x) = 2x + 4 and g(x) = 3x - 6, what is f(g(x)) when x = 6?
A jet goes from City 1 to City 2 at an average speed of 600 miles per hour, and returns along the same path at an average speed of 300 miles per hour. What is the average speed, in miles per hour, for the trip?
If f(x)=3x+7 and g(x)=x²-12, what is f(g(x))?
What is f(-3) if f(x) = x² + 5?
An outpost has the supplies to last 2 people for 14 days. How many days will the supplies last for 7 people?
An acute isosceles triangle has two sides with length \(a\) and one side length \(b\). The length of side \(a = 39\) ft. If the length of \(b = \tfrac{1}{2}a\), what is the perimeter of the triangle?
Quantity A: the area of a right triangle with sides 10, 24, 26
Quantity B: twice the area of a right triangle with sides 5, 12, 13
Which of the following is true?
What is the length of an edge of a cube with a surface area of \(1350 \, \text{in}^2\)?
Quantity A: The volume of a cylinder with radius 3 and height 4
Quantity B: 3 times the volume of a cone with radius 3 and height 4
Which of the following is true?
Which point could lie on the circle with radius 5 and center \( (1, 2) \)?
If rectangle \(ABCD\) has a perimeter of 68, and the longer edge is 2.4 times longer than the shorter edge, then how long is the diagonal \(AC\)?
There is a line defined by two end-points, \( (11, -5) \) and \( (a, b) \). The midpoint between these two points is \( (-6, -21) \). What is the value of the point \( (a, b) \)?