Inequalities and Equations
is (1,2) a solution for y=6x-4
yes
2=6(1)-4
2=2
take out the gcf
7x2 -35x-84
7
7(x2-5x-12)
What is the domain and range of a function?
the domain is the x values and the range is the y values
Eric has saved $12. He doubles the amount he saves each week. Does this represent an exponential function? Why or why not?
yes there is a constant ratio
Movie Preference Action Comedy Totals
Grade 11 13 17 30
Grade 12 11 19 30
Totals 24 36 60
what percent of people preferred comedy movies ?
graph the inequality y > 3x-5
teacher check
solve
(2x +9) - (3x2 +8x -1)
-3x2-6x+8
what are elements in a set; provide an example
numbers that are in a group, if it is a set of even numbers then it would be 2,4,6...
write 31/4 as a root function
teacher check
Fencing Cost 55 dollars per 6 feet of fence
How much does each inch of fence cost
76 cents
For a fundraiser, a group plans to sell x chocolate bars at $1.50 each and y bottles of water at $1.00 each. The group wants the revenue from the fundraiser to be more than $200. Select the inequality that models the situation.
1.50x+1y > 200
solve
(4x-6)(4x+6)
16x2-36
how can you tell the difference between no solution, one solution, and infinitely many solutions ?
if x=5 one solution
if 3=5 no solution
if 5=5 infinite solutions
The population of a town grows at a consistent annual rate. The function f(x) = 4,675(1 + 0.04)n models the town's population n years in the future. what is the population of the town after 18 months?
4,958 people
What is the vertex of the function f(x) = −0.66 |x + 7| ? Does the function open upward or downward?
(-7,0) opens downward
Which equation is a line perpendicular to the line y = 1/6x + 2
y=-6x(+or - any value)
Factor this polynomial
x2 − x − 42
(x-7)(x+6)
solve for x
8x – 2/9(18x – 54) = 72
8x-4x+12=72
4x=60
x=15
what is the vertex and y-intercept
y=(x−5/3)2−2
vertex: (5/3,-2)
y int: .7778
Solve for x and y
6x + 2y = –10
3x – 7y =179
x=6
y=-23
Alice graphs the relationship between x, the number of years an athlete has been playing soccer, and y, their average number of goals per game. Her graph goes through the points (3, 3) and (1, 2). Which equation represents the graph?
y=1/2x+1.5
(+2x3-7x2+3x)(-8x3+6x2+1x)
-16x6+68x5-16x4+11x3+3x2
write the equation for standard form, slope intercept form and point slope form
ax+by=c
y=mx+b
y-y1=m(x-x1)
A=1,250(1+0.048/2)2t =1,250+0.024 represents the annual value of an investment of $1,250 at 4.8% annual interest compounded semiannually. Which equation represents the same situation?
WITHOUT USING A CALCULATOR
put these in order from least to greatest
7.3, 31/4, square root of 37, square root of 81/3
sqrt 27, sqrt 37, 7.3, 31/4