Decimals and Fractions
Proportions and Rates
Slope
y=mx+b
One, No, or Infinite solutions
100
0.2x + 0.4 = 0.6
x=1
100
Write an Equation: You have to pay $30 to get into the fair and an additional $0.50 per game.
y=0.5x+30
100
What is the slope of the follow equation?
y=12x-43
m=43
100
What does the m and b stand for in y=mx+b?
m=slope/change
b=y-intercept/starting point
100
-5(-2 - 8m) = 10 + 5m
m=0
one solution
200
0.04x + 1 = 2.2
x=30
200
Write an equation for this situation: Joe opened a bank account with $40 and saves $20 a week.
y=20x+40
200
Find the slope from the two numbers ( 0, 0) and
( 12, 144)
m=12
200
What is your equation if y-intercept is 10 and your slope is -12/7?
y=-12/7 +10
200
3 + 5n = 5(n + 2) - 7
Infinite solutions
300
2.1x + 0.6 =17.4
x=8
300
Write an equation/rule for the following situation: You go to a carnival that is giving out free food, but each drink you get is $2.50
y=2.5x
300
Find Slope. See graph #2
m= -1
300
From this equation what is the slope and y intercept?
y= 1/4x-2
m= 1/4
y intercept is (0,-2)
300
4(k - 8) = -32 + 4k
Infinite solutions
400
2x/3 = 30
x=45
400
Write a system of equations for the following situations.
You plant 2 trees
One is 2 feet tall and grows 6 feet a year. The other is 3 feet tall and grows 5 feet a year.
y=6x+2
y=5x+3
6x+2=5x+3
400
Find the lope see graph #1
m=-2
400
y=x-5
400
6(2x − 5) = −(x + 4)
x=2
one solution
500
x/7 + x/3 = 10
a=21
500
Write a system of equations for the following situations and solve for x.
Bob has $50 and saves $30 a week
Amanda has $75 and saves $25 a week.
y=30x+50
y=25x+75
30x+50=25x+75
x=5
500
See graph#3
m = 3/2
500
y=-2x+4
500
-(3 - 6b) = 6b + 5
No Solutions