Functions
Systems
Solving Equations
Factoring
Word Problems
Miscellaneous
100
In a function, can an output be assigned to more than one input?
yes
100
How many solutions does this system have?
y = 2x + 5
y = 2x - 3
None
100
Solve:
sqrt(x + 8) = -10
No solution
100
Factor completely:
12x2 - 14x
2x(6x - 7)
100
Write an expression for: "The opposite of five less than the product of x and y".
-xy + 5
100
A list or description of all possible outputs for a function is its _______________.
range
200
What are the domain and range of:
{(-2, 7), (-5, 0), (3, 7)}?
Domain = {-5, -2, 3}
Range = {0, 7}
200
When solving a system with elimination or substitution yields a contradiction like 5 = 0, the system is ______________.
inconsistent.
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
What are the three methods we've learned for solving systems of equations?
Elimination, Substitution, and Graphing
300
Is this a function?
Yes
300
Solve the system graphically:
y = -2/3x + 5
y = 1/2 x - 2
(6, 1)
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 - 8
400
Determine this function's domain and range in interval notation.
Domain: [-2, 1)
Range: [0, 4]
400
Solve the system graphically:
6x - 10y = 70
y = 3/5 x - 7
Infinitely Many Solutions
400
What value of c would complete the square?
x^2 - 11πx + c
c =
(121π^2)/4
400
Factor completely:
15x4 - 17x3 - 4x2
x2(5x + 1)(3x - 4)
400
A gym membership costs $100 for an initiation fee and then $25 per month. Write an equation relating the membership cost, m, to the duration of x months. Then find the cost of becoming a member for 7 months.
m = 25x + 100;
$275
400
Simplify:
(x^2 - 16)/(4 - x)
- x - 4
500
State the domain and range of:
y = abs(x - 7) + 5
Domain: x can be any real number
Range: y > 5
500
Solve with any method:
a - 12b = 3
2a + 3b = 15
(7,1/3)
500
Solve:
x = -3
500
Factor completely:
12x2 - 6x - 6
6(2x + 1)(x - 1)
500
A motorcycle and a train left Mathville and headed in opposite directions. The motorcycle traveled at 50 miles per hour and the train at 60 miles per hour. How long did it take for them to be 770 miles apart?
7 hours
500
Solve by completing the square:
3x2 + x - 3 = 0
x =
(-1 +- sqrt(37))/6