Modeling and Solving Algebraic Equations

Which equation matches the picture above? ( circles = 1 and triangles = t)

• t = 3

• t + 4 = 7

• 1 + 4 = 7

• 4t + 1 = 7

Which equation matches this model?

• 7x + 3 = 23

• 2x + 4= 10

• 3x  - 8 = 3

• 4x + 3 =9

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

Which equation is modeled?

• x + 3 = 9

• x - 3 = 9

• 3x = 9

• 3x - 3 = 9

Which of the following equations best represents the model given? (squares =1 and rectangles =x)

• 4+3x=5

• 4-3=5

• -3x+4=5

• 4x-3=5

What is the equation and the solution for the given model?

• 3x-4=5 x=1

• 3-4x=5 x=-2

• 3-4x=5 x=2

• 3x-4=5 x=3

Translate the following and solve for x. "The product of five and a number plus one is equal to triple the same number increased by five."

Translate the following and solve for x. "Two less than fives times a number results in four more than three times the same number."

Translate the following and solve for x. "Five times the sum of a number and two is three times the same number increased by eighteen."

Translate the following and solve for x.

"Triple a number increased by four is equal to twelve more than the same number."