Number Patterns and Writing and Solving Equations

Translate: Two more than 4 times a number is 18.

• 4x + 2 = 18

• 18 = 4 + 2x

• 2x + 18 = 4

• 4x + 2 = 18

Translate into a word sentence: 3x - 8 = 34

• three times a number increased by 8 is 34

• the quotient of 3 and a number 8 equals 34

• eight less than three times a number is equal to 34

• three times a number fewer than 8 is the same as 34

Solve: 76 = x + 39

• x = 27

• x = 37

• x = 95

• x = 115

Solve: 7y = 91

• y = 13

• y = 637

• y = 98

• y = 84

Which equation has w = 8 as the solution?

• 16w = 240

• 16 - w = 9

• 4 + w = 10

• 8w = 64

Solve the equation: 20.5 = x + 4

• x = 24. 5

• x = 16. 05

• x = 16.5

• x = 24. 05

Solve the equation 2/3 x = 16

• x = 24

• x = 10

• x = 16

• x = 8

Cheryl gets paid $8 per hour, h. She made a total of $96 las week. Which equation models this equation?

• 96h = 8

• h/96 = 8

• 8h = 96

• h/8 = 96

How do you solve this equation? 3x = 44

• add 3 to both sides

• subtract 3 from both sides

• multiply 3 on both sides

• divide 3 on both sides

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

• add 62 to each side

• multiply each side by 62

• add 123 to each side

• subtract 62 from each side