top of page
Advanced Math
Questions
y = 2 x² - 21x + 64
y = 3 x + a
Q1
A ) - 8
B ) - 6
C ) 6
D ) 8
In the given system of equations, a is a constant. The graphs of the equations in the given system intersect at exactly one point, (x, y), in the xy-plane. What is the value of x?
Q2
f(x) = 9000 * (0.66) ^ x
The given function f models the number of advertisements a company sent to its clients each year, where x represents the number of years since 1997, and 0 <= x <= 5 If y = f(x) is graphed in the xy-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?
A ) The minimum estimated number of advertisements the company sent to its clients during the 5 years was 1,708.
B ) The minimum estimated number of advertisements the company sent to its clients during the 5 years was 9,000.
C ) The estimated number of advertisements the company sent to its clients in 1997 was 1,708.
D ) The estimated number of advertisements the company sent to its clients in 1997 was 9,000.
Q3
y + k = x + 26
y - k = x ² - 5x
In the given system of equations, kis a constant. The system has exactly one distinct real solution. What is the value of k?
Q4
What is the smallest solution of the given equation ?
Q5
Which expression is equivalent to
Q6
The area of a triangle is 270 square centimeters. The length of the base of the triangle is 12 centimeters greater than the height of the triangle. What is the height, in centimeters, of the triangle?
A ) 15
B ) 18
C ) 30
D ) 36
Q7
The table shows three values of x and their corresponding values of y for the equation y = 4 (2) ^ x + 3
In the table, a is a constant. What is the value of a?
A ) 67
B ) 35
C ) 32
D ) 27
Q8
What is the solution of the equation
Q9
The given equation relates the positive numbers a, b, and x. Which equation correctly expresses a in terms of b and x?
Q10
The given equation relates the numbers p and n, where n is not equal to 0 and p > 20 Which equation correctly expresses n interms of p?
Q11
Q12
Q13
Q14
Q16
Q17
Q18
Q19
Q20
Which of the following is solution of the given equation
A ) -5 / 2
C ) - 4 /5
The function f is defined by f(x) = 7x ^ 3 In the xy-plane, the graph of y = g(x) is the result of shifting the graph of y = f(x) down 2 units. Which equation defines function g?
On April 1, there were 233 views of an advertisement posted on a website. Every 2 days after April 1, the number of views of the advertisement had increased by 70% of the number of views 2 days earlier. The function f gives the predicted number of views x days after April 1. Which equation defines f?
The function f is defined by f(x) = 5x ^ 2 . What is the value of f(8)?
A ) 40
C ) 80
Which expression is equivalent to 13x² - 7x² ?
A ) -91x²
C ) 20x²
Which expression is equivalent to 34x + 34y ?
A ) 34xy
C ) 68y
The graph of the exponential function f is shown, where y = f(x) The y-intercept of the graph is (0, y) . What is the value of y?
Which expression is equivalent to 12x + 27y ?
A ) 12(9x +1)
C ) 3(4x +1)
The function g is defined by g(x) = |x + 18| What is the value of g(4)?
A ) - 18
C ) 14
stay tuned - more questions & solution will be added soon !
B ) - 5 / 4
D ) - 2 / 5
B ) 50
D ) 320
B ) 6x²
D ) 40x²
B ) 34( x + y)
D ) 68x
B ) 27( 12x + y)
D ) 3(9x + 24)
B ) - 4
D ) 22
bottom of page