Solving Algebraic Equations

What would be the first step to solving the equation being modeled? (green=x red = -1 blue = 1)

• Add 4 red tiles or -4 to both sides

• Add 4 blue tiles or 4 to both sides

• Add 10 red tiles or -10 to both sides

• Add 10 blue tiles or 10 to both sides

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What equation is modeled?  Solve the equation.

• x -6 = 13     x = 19
• x + 6 = 13    x = 7
• x + 6 = 13    x = 8
• x - 6 = 13   x = 7

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Write the equation for the model. (white square=1 rectangle=x red square = -1)

• 7=x+3

• 7=x+(-3)

• 7=-x+3

• -7=x-3

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation. (white is positive and the rectangle is the variable)

• x=10

• x=-4

• x=-10

• x=4

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

20 = 8x - 12

• 2
• 3
• 4
• 5

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

115 = 12x - 5

• 6
• 8
• 10
• 12

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

x / 7  + 14 = 22

• x = -56
• x = 56
• x = -9
• x = 9

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

Tags

CCSS.6.EE.B.7

• 2
• 4
• 6
• 8

Tags

CCSS.7.EE.B.4A

- 1 + ^a/₃ =4

• a = -15

• a = 15

• a = 9

• a = -9

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6