Solve for Variable on Both Sides Equal Sign

Put the Steps or solving Equations with Variables on both sides in order.

• Move the variables to one side

• Distribute

• + or - the constant

• Combine Like terms

Solve for x

• x = 4

• x = 1

• 2x = 4

• x = 2

What equation is modeled? Solve the equation.

• x -6 = 13

• x + 6 = 13

• x + 6 = 13

• x - 6 = 13

Which equation matches the image? THE RECTANGLES ARE THE VARIABLES & THE SQUARES EQUAL ONE EACH.

• x - 3 = 8

• x + 3 = 8

• 3x = 8

• 3x = 9

Solve the equation using the image. THE RECTANGLES ARE THE VARIABLES & THE SQUARES EQUAL ONE EACH.

• n = 14

• n = 6

• n = 7

• n = 2

If the triangle represents the variable and each circle equals one, is this model and equation in the image correct?

• Yes

• No, there needs to be 7 circles on the right side of the equal sign.

• No, there needs to be 4 circles on the right side of the equal sign.

• No, there needs to be a minus sign in the equation.

Write an equation for the model above.

• x + 3 = -9

• x - 3 = 9

• 3x + 1 = 9

• 3x - 1 = 9

Which equation is modeled?

• x + 3 = 9

• x - 3 = 9

• 3x = 9

• 3x - 3 = 9

Which equation matches the image? THE CUP IS THE VARIABLE & THE CIRCLES EQUAL ONE EACH.

• n + 2 = 6

• 2n = 6

• 2n = 5

• n + 2 = 5

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 

• Subtract 7 from both sides. The solution is x = 5.

• Add 7 to both sides.
  The solution is x = 19.

• Multiply both sides by 7 The solution is x = 84.