Functions & Graphs
Given f(x)=2x+3f(x) = 2x + 3f(x)=2x+3, find f(4)
11
The sum of the angles in a triangle is:
180 degrees
Find sin(30∘).
1/2
The mean of 5, 7, 8, and 10 is:
7.5
Solve for x: 3x−7=11
6
The graph of f(x) is shifted 3 units left and 2 units up to create g(x). If f(x)=x2, write g(x).
g(x)=(x+3)2+2
A right triangle has legs of length 6 cm and 8 cm. Find the hypotenuse.
10 cm
Simplify tan(45∘).
1
A data set has a mean of 50 and a standard deviation of 5. A value of 60 has a z-score of:
2
Simplify: (x+2)(x−5)
Answer: x2−3x−10
What is the inverse of f(x)=3x−7?
y = (x+7)/3
A circle has a radius of 5 cm. A chord is 6 cm from the center. Find the chord length.
8 cm
If cos(θ)=0.6 and θ is acute, find sin(θ).
0.8
The probability of event A is 0.4 and the probability of event B is 0.5. If A and B are independent, find P(A∩B).
0.2
If log2(𝑥)=5, find 𝑥.
32
The function f(x)=∣x−4∣+2 is reflected over the x-axis. Write the new function.
f(x)=−∣x−4∣−2
The volume of a cylinder is 500𝜋 cm³ and the height is 10 cm. Find the radius.
5 cm
Convert 135∘ to radians.
3π/4
If 20% of students pass both math and reading, and 60% pass math, what percent pass reading given they passed math?
20/60=33.33333%
The sum of an infinite geometric series is 12 and the first term is 9. Find the common ratio.
1/4