Functions
Given g(x) = 2x - 1, solve for x when g(x) = 3.
x = 2
What is the distance between the points (-8, 11) and (-2, 15) rounded to the nearest tenth.
7.2
What is the 5th term of the geometric sequence below?
2, 4, ...
32
Will the following function have a maximum or minimum value?
f(x) = -24x2 - 9x + 3
Maximum
Describe the correlation of a scatter plot with an r-value of 0.133.
weak positive
What is the value of -2f(x) + 4g(x)?
f(x) = -x2 + 4 g(x) = 3x2 + 2x - 1
14x2 + 8x - 12
Write the equation of a line that is parallel to y = -4x - 6 that passes through the point (2, -9).
y = -4x - 1
Write the explicit equation for the sequence below:
24, 27, 30, ...
y = 3x + 21
Calculate the axis of symmetry for the function below.
g(x) = -16x2 + 64x + 3
x = 2
Convert the standard form equation below back into slope-intercept form:
7x - 5y = -20
y = 7/5x + 4
What is the sum of the y-intercepts of the following functions?
y = -x
y = 7(0.25)x
y = -16x2 + 40x - 21
0 + 7 - 21 = -14
Line segment AB has an endpoint A(16, -2) and a midpoint M(11, 4). What is the location of endpoint B?
(6, 10)
What is the 15th term of the sequence below?
-6, -2, 2, 6, ...
50
What is the value of the larger zero for the function below?
y = 2x2 - 10x - 48
x = 8
Solve the inequality below:
28 - 7x < -4(-7x - 7)
x > 0
What value of k should complete the function below if f(-3) = 9?
f(x) = -2x + k
k = 3
Determine the solution to the system below:
8x + 14y = 4
-6x - 7y = -10
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What is the 10th term of the sequence below?
-1, 3, -9, 27, ...
19,683
Factor the expression below:
3x4y4 + 9x5y2
3x4y2(y2 + 3x)
Solve the equation below for a:
m = (ax)/p
(mp)/x = a
Write the equation for a function that passes through the points: (1, 18) (2, 16.2) and (3, 14.58)
Hint: put all 3 points in a table first
y = 18(0.9)x-1
Classify the triangle with points A(1, 7), B(9, 2) and C(-4, -1) as either equilateral, scalene or isosceles.
Isosceles
Write the explicit equation of a sequence with the recursive equation below:
an = an-1 + 6 a1 = -2
y = 6x - 8
The function below represents the height of a ball as it travels in the air. What was the ball's maximum height?
h(x) = -16x2 + 64x + 30
94 feet
Write a system of inequalities for the scenario below:
Sara wants to earn more than $240 over the summer. She earns $12 per hour babysitting and $10 per hour dog-walking. She wants to work less than 8 hours per week.
12B + 10D > 240
B + D < 8