Relations and Functions
what is the Domain of
(3,5)(4,7)(-6,5)(5,-2)
{-6,3,4,5}
Use the slope formula and find the slope between the given two points: (5,-9) and (3,-2)
-7/2
What are the 3 possible types of solutions for a system of equations?
One Solution, No Solution, and Infinite Solutions
Simplify
a4 x a4
a8
Find the sum/difference. Answers must be in standard form: (x2-4x+3) + (3x2-3x-5)
4x2-7x-2
Given the domain find the range
y=7 - 1/2x Domain(-4,0,6)
range=(9,7,4)
Find the equation of the line: (4,9) and (1,6)
y=x+5
Find the Solution for x and y using substitution
y=6x
2x + 3y = -20
(-1,-6)
simplify
-7a-2b3/b-2
-7b5/a2
Simplify
(x2y+x2z-5y-5z)/(y+z)
x2-5
Find the zeros of each function algebraically.
f(x)= 2x+10
(x=-5)
Karen’s piggy bank has all dimes and quarters. The total value of the money in her piggy bank is $11.40. If Karen has 36 quarters, write and solve a linear equation to find the number of dimes she has. (The answer to this is just the answer to that equation)
Karen has 24 dimes.
Solve for x and y by using elimination.
10x -3y = 18
-2x + 3y = 6
(3,4)
Multiply.
(2.5 x 1011) x (7.5 x 1010)
Put your answer in scientific notation
1.875 x 1022
Factor the polynomial completely: 36a3b4-20a2b3-8ab2
4ab2(9a2b2-5ab-2)
Determine whether this sequence is an arithmetic sequence.
-9, -14, -19, -24, ...
Write your answer as either; Yes, d=... or No
Yes, d= -5
If you buy a car wash at the gas station for $5.00, the cost per gallon is $3.10. If you have $40, write and solve a linear equation to find the number of gallons of gas you can afford.
You can afford 11.3 gallons of gas.
One number added to three times another number is 24. Five times the first number added to three times the other number is 36. Find the numbers.
The numbers are 3 and 7.
The original cost of a computer was $1,400, and the value increases by 9% each year. Write an exponential growth function to model this situation. Then find the value of the computer after 25 years.
y=1400(1.09)25
$12,072.31
Find the axis of symmetry and vertex for the following quadratic equation: y=x2+6x+4
Axis of symmetry = x=-3
Vertex = (-3, -5)
You visit the Grand Canyon and drop a penny off the edge of the cliff. The distance the penny will fall is 16 feet for the first second,48 feet for the next second,80 feet for the third second,and on.
Part A write a formula to represent this sequence.
Part B how far will the penny have traveled after 6 seconds.
Part A
an=32n-16
Part B
176 feet
Write the equation of the line that passes through the point (-5,1) and is PERPENDICULAR to the line 5x+3y=-21
y=-⅗ x -2
Ben and Joel are raising money for their class trip by selling wrapping paper. Ben raised $43.50 by selling 12 rolls of solid paper and 9 rolls of printed paper. Joel raised $51.50 by selling 8 rolls of solid paper and 15 rolls of printed paper. Find the cost of each type of wrapping paper.
Your final answer must be in a sentence.
Solid paper costs $1.75 per roll, and printed paper costs $2.50 per roll.
Simplify
((2x4y-3) x (2x-1y-2)4/2x-7y-3)3
8y3/x15
What is 4x2+8x-45=0
x=5/2 or x=-9/2