Real Life Problems
Multi-Step Equations
No Possible or Infinite Solutions
Distributive Property
Combining Like Terms
100
Kendall has 8 pieces of gum. Micheal gives her 10. Then Ryan takes 6 from Kendall. How many pieces does Kendall have now?
What is Kendall has 12 pieces of gum left.
100
4(2x+1)=6x+10
What is x=3
100
3x+5-x=2x+7
What is 0=2 No Solutions
100
3(3+7)=8x
What is x=3.75
100
1+3+4x=5x+7+9
What is x=-12
200
Ryan had a certain number of jolly ranchers and Maggie gave two times as much that he had then Michael took away 5 of the jolly ranchers.Ryan had a total of 15 jolly ranchers left how many did he start with? Write an equation and solve.
What is x*2-5=15 x=10
200
4x+9=2x-6
What is x=-15/2
200
3(x+1)-5=3x-2
What is 0=0 Infinite Solutions
200
4(2x+7)=8+6x
What is x=-10
200
3+5x+9=6x+7
What is x=4
300
John walked a half of mile in 16 minutes. Whats his approximate speed per minute?
What is 8 minutes
300
x+2x+3+4=5x+6x+7+8
What is x=-1
300
4(x+5)+6=2(2x+3)
What is 26≠6
300
3(23-2x)+3x=48+6
What is x=5
300
x + 2-4 = 3x - 16
What is x=7
400
A car dealership sold 78 new cars and 67 used cars this year. The number of new cars sold by the dealership increased by 6 cars each year. The number of used cars sold by the dealership has been decreasing by 4 cars each year. If these trends continue, in how many years will the number of new cars sold be twice the number of used cars sold?
What is 78+67=2(67+-4x) x=4
400
6x – 3+(-3x) + (-3)+2 = -24 + 6x
What is x=20/3 or 6 2/3
400
12x-3+x=5x-4+8x
What is -3≠-4 No Solution
400
2(3x-4)+11=1x-27
What is x=-6
400
3y+8(3+9)=4+83
What is y=-3
500
The United States population can be modeled by the function p=2.683t+213.1 where t is the number of year since 1975.In approximately what year will the population be 350 million?
What is 350=2.683t+213.1 51 years
500
-.4(.5x-.4)=1.3-.6(.3-.2x)
What is x=-3
500
x+2x+3+3=3(x+2)
What is 0=0 All Real Numbers
500
4(2x+3)=-3(x-1)+31
What is x=2
500
4x+-2(7+8x)=-42+4x
What is x=1.75
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