Inequalities
If the circle is closed the inequality is
greater than or equal to
10-5x=3(x-4)-2(x+7)
x=6
y=4x-3/4
What is the slope
What is the y intercept
m=4
b=-3/4
What are the three ways to solve a system of equations?
When graphing what do the lines look like for
One solution, many solutions, no solutions
Intersecting in one spot - one solution
Parallel and not touching - no solution
Lines are the same - many solutions
Name as many Bucks players as you can in 20 seconds
Negative 1 less than or equal to 2n plus 4 minus 5
Solve
greater than or equal to 0
a/5 = (a-3)/2
a=5
Write the equation in POINT SLOPE and Y INTERCEPT FORM that goes
through: (-1, 4) and (-4, 2)
y-4=2/3(x+1)
y=2/3x + 14/3
Solve the system any method
−4x + y = 6
−5x − y = 21
(-3,-6)
Name a wisco teacher who is retiring this year
5x-(x+2) greater than -5(1 +x) +3
solve and graph
x is greater than zero
open circle with arrow pointing right
8m-4-2m=3(2m-1)
no solution
Write the equation
Graph the equation
(2,6) and (-2,4)
Check work
y=1/2x + 5
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?
2 ducks and 8 pigs
47
-3 + the absolute value of n-2 is greater than five
solve and graph
n greater than 10 or n n less than -6
Sandra scores 4 baskets in his first basketball game. She then scored the same number of baskets in each of her next 3 games. If Sandra made 19 baskets total, how many baskets did she score in each of the three games?
5
A video rental store charges a $20 membership fee and $2.50 for each video rented. Write and graph a linear equation (y=mx+b) to model this situation. If 15 videos are rented, what is the revenue? If a new member paid the store $67.50 in the last 3 months, how many videos were rented?
y=2.5x+20
$57.50 for 15 videos
19 videos in 3 months
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?
7 forks and 20 spoons
Mrs. Lautz loves sports, which 3 sports did she play in high school? Bonus point if you know what sport she tore both her ACLs in (same sport both times)
Played volleyball basketball and softball tore ACL in JV basketball age 15 and again basketball age 30 in staff student game
5x-5 > -7x -5 or 3x +5 less than or equal to x-1
Write 3 equations that all have the same solution...you must have at least 4 terms in each equation
An electrician cuts a 30 ft piece of wire into two pieces. One piece is 2 ft longer than the other. How long are the pieces?
14 and 16
Write a system of equations word problem that has 3 and 4 as a solution
check
(x'2 - 2x - 15) / (x+3)
x-5