Solving Multi-Step problems using Distributive Property
7(x-2)=6x
x=14
2x+5= 3x
x=5
Three less than six times a number is 21. What is the number? You must have the correct equations and answer!
n = 4 (6n - 3 = 21)
Name the three different types of solutions for equations.
One solution, No solution, infinite solutions
-(a-12)+4a= 9a
a=2
5x+2= 3x-8
x=-5
Subtract a number divided by nine from three and the difference is zero. What is the number? You must have the correct equations and answer!
n = 27 (3 - n/9 = 0)
If after solving the equation you arrive at 5 = -5, what is the type of solution?
No solution
3(x+1)=x+5
x=1
12x+8= 3x+62
x=6
A number divided by -5 is 7, What is the number?You must have the correct equations and answer!
n = -35 { x/(-5) = 7 }
If you arrive at the step 6=6 when solving an equation, what would be the solution?
Infinite Solutions
4(2a+3)= -3(a-1)+31
a=2
16-4x=7x+5
x=1
One third of Grade 8 students went to a concert. 4 teachers went too. There were 41 people on the bus including the driver. How many Grade 8 students were there? You must have the correct equations and answer!
108 students ((x/3) + 5 = 41)
If you arrive at 6x+2=6x+2 when solving the equation, what type of solution can you predict this is?
Infinite Solutions