Equations Extra : One-Step, Muti-Step, & Variables on Both Sides

Translate the sentence into an equation:

Four more than six times a number is 18.

• 10x = 18

• 4x + 6 = 18

• 6x + 4 = 18

• not enough info

 Cheryl gets paid $8 per hour at her job at the record store.  She made a total of $96 last week.  Write a multiplication equation to show how many hours she worked last week.

• 96h = 8
• h/96 = 8
• 8h = 96
• h/8 = 96

Translate the statement into an equation:

6 less than twice a number is 4

• 6 - 2n = 4

• 2n - 4 = 6

• 6 - 4 = 2n

• 2n - 6 = 4

Two more than 4 times a number is -18.

• 4x + 2 = -18

• 2x + 4 = -18

• 18 = 4x +2

• (4 + n) + 2 = -18

Solve. y/-5 = 20

• y = 100

• y = -4

• y = -100

• y = -15

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.

• 25x=125,
  x = 5 feet
• x+22=125,
  x = 20 feet
• x-25=125
  x=150 feet
• 25x=125
  x=3,125 feet

Find the solution to the equation:

^{6n + 5(2n - 6) = 6n - 30}

• n = 0

• n = 8

• All Real Numbers

• No Real Solution

Find the solution to the equation:

^{25 - 5a = -5( a - 4)}

• a = 0

• a = 10

• No Real Solution

• All Real Numbers

Find the solution to the equation:

2(5b - 3) = 6b + 6

• b = 12

• b = 3

• b = (-7)

• No Real Solution