Modeling and Solving Equations and Inequalities

• 
• 
• 
• 

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

• x=10

• x=-4

• x=-10

• x=4

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

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

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

A car rental company charges a $25.00 base fee plus an additional $0.10 for every mile driven to rent a car. If a customer's bill was $37.80, determine the number of miles the customer drove. (Write and solve and equation) *Record your answer as  ____ miles

Write an inequality to represent the following number line...


Record your answer using the variable "x" with NO SPACES.