Functions
What is the value of f(3) if f(x)=2x+5?
11
What is the sum of interior angles of a triangle?
180°
What is the probability of rolling a 4 on a fair six-sided die?
Solve:
2x+3=11
x=4
Is 97 prime or composite?
Prime
Find the inverse of f(x)=3x−7.
f-1(x)=(x+7)/3
Find the area of a circle with radius 4.
16π
Find the mean of 3, 7, 8, 12.
7.5
Factor:
x2−9
(x+3)(x-3)
Find the greatest common divisor of 24 and 36.
12
What is the domain of f(x)= 1 / (x2-9)?
All real numbers except x=±3
A right triangle has legs 6 and 8. Find the hypotenuse.
10
A coin is flipped 3 times. What is the probability of getting exactly 2 heads?
3/8
Solve:
x2−5x+6=0
x = 2,3
What is the remainder when 37 is divided by 5?
2
If f(x)= x2 + 2x, find f(f(1)).
15
What is the volume of a sphere with radius 3?
36π
What is the median of: 5, 9, 12, 15, 20, 21?
13.5
Simplify:
(x2−16) / (x+4)
x−4
(for x≠−4)
Find the units digit of: 712
1
A quadratic has roots 2 and –5. If its leading coefficient is 2, find the equation.
y=2(x−2)(x+5)
or expanded:
y=2x2+6x−20
A regular hexagon has side length 6. Find its perimeter and area.
Perimeter = 36
Area: 54√3
A class has mean score 72. One student with score 90 joins, increasing the mean to 73. How many students were originally in the class?
17
Solve:
2x+1=32
x=4
How many positive factors does 72 have?
12