Modeling and Solving Algebraic Equations

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

• 5

• 2

• 10

• 3

Which equation is modeled?

• 6 + 5 = 14

• -6x +5=15

• 6 + 5 > 14

• 6x + 5 = 15

Which linear equation models the relationship shown on the graph?

• y=2x+3

• y=2x+1

What equation is modeled?
black (negative)
grey (positive)

• 5x = 1

• 3x - 2 =1

• 3 - 2 = 1

• x - 1 = 1

What equation is modeled?  Solve the equation.

• 2x = -4    x = -2

• 2x = 4    x = 2

• 2x = 4    x = 8

Solve for y

3x - 2y = 25

Mathematical Equivalence

ON

Write an equation that models the linear relationship in the table:

• y = 2x + 5

• y = -2/4x -4

• y = -4/2 x + 1

• y = -2x + 5

Evaluate 2a + 4b 
if a = 10     and    b = 6

• 20

• 24

• 44

• 4