Functions
Solving Equations
Factoring
Word Problems
Miscellaneous
100
In a function, each input has exactly one _________.
output
100
Solve:
sqrt(x + 8) = -10
No solution
100
Factor completely:
12x2 - 14x
2x(6x - 7)
100
Write an expression for: "Five less than the quotient of x and y"
x/y - 5
100
A list/description of all possible inputs for a function or relation is its _______________.
A list/description of all possible outputs for a function is its ______________.
A list/descirption of all possible outputs for a non-function relation is its ______.
domain, range, codomain
200
What are the domain and range of:
{(-2, 7), (-5, 0), (3, 7)}?
Domain = {-5, -2, 3}
Range = {0, 7}
200
Solve:
x2 - 5x - 14 = 0
x = 7 or -2
200
Factor completely:
x2 - 10x + 16
(x - 8)(x - 2)
200
When three times the supplement of an angle is divided by four, the result is 50 degrees more than the complement of the angle. What is the measure of the angle?
20 degrees
200
State the domain of:
y = 3/sqrt(x+5)
(-5, infinity)
300
Is this a function?
Yes
300
Solve:
5x2 + 2x = 7
x = -7/5 or x = 1
300
Factor completely:
64x3 - 9x
x(8x + 3)(8x - 3)
300
I have 52 coins, all dimes and nickels, worth $4.40. How many of each kind of coin do I have?
36 dimes, 16 nickels
300
If f(x) = x2 + 1, find f (a + 3)
a2 + 6a + 10
400
Determine this function's domain and range in interval notation.
Domain: [-2, 1)
Range: [0, 4]
400
What value of c would complete the square?
x^2 - 7πx + c
c =
(49π^2)/4
400
Factor completely:
15x2 - 17x - 4
(5x + 1)(3x - 4)
400
Three less than the product of four and a number is the quotient of 10 and the number. Find the number.
-5/4 or 2
400
Find the quotient of the slope and distance between (3, 5) and (-2, 9)
-(4sqrt41)/205
500
State the domain and range of:
y = abs(x - 7) + 5
Domain: x can be any real number
Range: y > 5
500
Solve:
x = -3
500
Factor completely:
12x2 - 6x - 6
6(2x + 1)(x - 1)
500
At noon a motorcycle left Mathville and headed north. At 2pm a train left Mathville and headed south. The motorcycle traveled at 70 miles per hour and the train at 80 miles per hour. When (what time) were they 1040 miles apart?
8pm
500
Solve using any method:
3x2 + x - 3 = 0
x =
(-1 +- sqrt(37))/6