Solving One Step Equations

Carpet Cleaner A charges $28.95 plus $18 per room. Carpet Cleaner B charges $19.85 plus $32 per room. Which equation can be used to find the number of rooms for which the total cost of both carpet cleaners is the same?

• 28.95x + 18 = 19.85 + 32

• 28.95 + 32x = 19.85 + 18x

• 28.95 + 18x = 19.85 + 32x

• (28.95 + 18)x = (19.85 + 32) x

2m + 1 + m = 4(m-2) + 7

• -4

• -2

• 2

• no solution

Select all the equations which will result in infinitely many solutions?

• x - 9 = x + 9

• 2x - 3 = 2x - 3

• 5x = 5x

• -3x + 8 = 8 - 3x

x + 12 = 20

• x = 32

• x = -32

• x = 8

• x = -8

how would you solve this equation: 9x=153?

• multiply by 9 on both sides

• divide by 9 on both sides

• add 9 to both sides

• subtract 9 from both sides

Solve the equation below:

• k = 152

• k = 176

• k = 5

• k = 27

17 = x + 3

• x = 20

• x = 14

• x = 13

• x = 19

4 + b = 30

• -34

• 34

• -26

• 26

x - 32 = 49

• x = 17

• x = 71

• x = 81

• x = 49

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.