1
Inverse Operation of Multiplication
Division
Write an equation to represent
Six more than three times a number, x, is 27.
3x+6=27
Dividing by a fraction is equivalent to multiplying by its ________________.
Reciprocal
Write an equation to represent:
Nine less than four times a number, x, is 19.
4x-9=19
Solve for x AND check your work
0.4x + 2.9 = 1.5
x = 3.5
Deniro charges $35 for painting supplies and $15 for each hour, h, he works. If Deniro charges a total of $155, which equation can be used to determine the number of hours Deniro spent painting?
15h+35=155
Solve for x AND check your work:
-4x-1.50=18.50
x=-5
Does b= –2 make the equation –2b+4=0 true or false? Justify your answer.
True (must show your work)
Which operation will isolate the variable x in the equation 5x=10?
Dividing by 5 on both sides
Solve for n AND check your work:
-15 -5n =20
x=-7
Jane thinks that y=7 is the solution for the equation 3(y+5)-4y=8.
Is Jane correct or incorrect? Check her answer to verify her solution.
solve for x AND check your work:
3x + 9 = 15
x = 2
Tara paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Determine how much the electrician charges per hour.
A square has sides of length 3x+2. The perimeter of the square is 50 inches.
Create an equation in simplest form to model the perimeter of this square.
‒3(4x-5)=9
1/2
Solve for x AND check your work
0.25x-4=1
x=20
Solve for x AND check your answer:
2 -2.5x= –23
x=10
Solve for x AND check your work:
-5+0.8x=7
x=2.5
0.8(x+5)+1.2x=10
0.5(x-4)+1.5x=20