Problem 1 :
For the given expression, (x - 1)(x - 3) - 5x, simplify to standard form ax^{2} + bx + c, what is a, b and c ?
Problem 2 :
Given f(x) = x + 4, g(x) = x^{2} - 3x + 5 and h(x) = 3^{x} + x
a) What is f(x) + g(x) ?
b) what is f(2) x g(2) ?
c) what is h(3) ?
Problem 3 :
What is the vertex of x^{2} - 10x + 9 ? What quadrant is it in ?
Problem 4 :
Given the equations : y = 10(1.02)^{x} and y = 2x + 10
a) What is the rate of the exponential function ?
b) What is the starting point of the exponential function ?
c) Is the exponential function growth or decay ? why ?
d) Which function is steeper ? and why ?
Problem 5 :
What is the starting value in the equation y = 3(0.92)^{x }?
a) What is the rate ?
b) What is the starting point ?
c) Is it growth or decay, why ?
Problem 6 :
a. Given the system 2x + 3y = 13 and x = 5y, what is x + y ?
b. Which quadrant does this solution lie ?
Problem 7 :
Given f(x) = x^{2} + 20x - 18 and g(x) = 20x + 18, what is the smallest solution to f(x) = g(x) ?
Problem 8 :
Let y = 2x -10
a. If m is the x-intercept and n is the y-intercept, what is m - n?
b. If m is the x-intercept and n is the slope, what is m subtracted from n ?
Problem 9 :
If f(x) = 3x - p and f(5) = 10, what is the value of p ?
Problem 10 :
Given ((x^{2})^{3})^{4 }and the expression, x^{r} what is r ?
Problem 11 :
Simplify
Problem 12 :
Simplify x
Problem 13 :
Given the box and whisker plot, what is IQR (interquartile range) and median.
Problem 14 :
a. What is the area of the parallelogram ?
b. What is the perimeter of the parallelogram ?
Problem 15 :
a. Does this set of points (1, 2) and (3, 4) make up a line parallel to y = 4 + 3x, why or why not ?
b. Tell the slope of the line perpendicular to y = 4 + 3x
Problem 16 :
What is the distance between the solutions for
f(x) = x^{2} + 14x + 49 and g(x) = 4x + 4 ?
Feb 25, 24 07:44 AM
Feb 24, 24 11:07 PM
Feb 24, 24 08:49 PM