Solve for Variables on Both Sides

The square and equilateral triangle below have the same perimeter. Find the value of x. Then, find the perimeter of each shape. Equation:​ (a)   X = ​ (b)   Perimeter: ​ (c)  

• 2

• 36

• 5

• 42

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

OFF

Solve: 12x + 1 = 6x - 47

• x = 6

• x = -7

• x = -8

• x = 9

Solve: 3x + 16 = 7x + 64

• x = 10

• x = -10

• x = -11

• x = -12

Solve:
7x = 3x + 24

• 6

• 10

• 14

• 4

Solve for x:
4(1-x) + 3x = -2(x+1)

• x = -6

• x = 6

• x = 3

Solve:
5y + 34 = -2(-7y+1)

• y = -4

• y = 9

• y = 4

• y = 36/19

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides