Solving Equations
20-y=-9
y=29
3x > 12
x>4
Open dot on 4 and line going to the right
Write an equivalent expression in as few terms as possible
9x-2x+4x
11x
Expand
2(3a +b)
6a+2b
Write and solve an equation that represents the story
Lin had 90 flyers to hang up around the school. After giving the same number of flyers to each of three volunteers, she had 12 left to hang up by herself.
3x+12 =90
x=26
3x=138
46
6x -1 <= 35
x<= 6
closed dot on 6, line going to the left
Write an equivalent expression in as few terms as possible
9x-7y-3x-5y
6x-12y
Factor
12x-8
Write and solve an equation that represents the story
A family buys 6 tickets to a show. They also each spend $3 on a snack. They spend $24 on the show.
6(x+3)=24
x=1
3x-4=8
x=4
14 + 2w <= 65
w<= 25.5
closed dot on 25.5, line going to the left
Which expressions are equivalent to 8-12-(6+4)
a) 8-6-12+4
b)8-12-6+4
c) 8-12+(6+4)
d) 8-12-6-4
e) 8-4-12-6
D and E
Expand the expression
-3(5-2y)
-15 +6y
Write and solve an equation that goes with the story.
The temperature is -7. Since midnight the temperature tripled and then rose 5 degrees. What was temperature at midnight?
3x+5 =-7
x= -4
3(5+x)=7
x= -8/3
12 +3n >28
n> 16/3
open dot on 16/3 (or 5.3), line going to the right
Write an equivalent expression in as few terms as possible
15+4(5y-10)
20y-25 or -25+20y
Factor
20x-10y+15z
Write and solve an inequality representing the story
Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats.
25+3x >= 25
x>=14.3 BUT it doesn't make sense to have 14.3 subscriptions so he needs to sell 15 to make his goal
1/3(x+7)=5
x=8
3/5x + 30 >= 150
x>= 200
closed dot on 200, line going to the right
Write an equivalent expression in as few terms as possible
3(2.5x+6.5) + 4(2.5x+6.5)-5(2.5x+6.5)
2(2.5x+6.5) or 5x+13
Expand
-x(3y-z+4w)
-3xy+xz-4xw
Write and solve an inequality representing the story
The Hiking Club is on a hike down a cliff. They begin at an elevation of 12 feet and descend at the rate of 3 feet per minute. If they end at -37 feet elevation, how long will it take them to get down the hill?
12-3x >=-37
x>=16.3