Modeling and Solving Algebraic Equations

I can write one-step equations to model real-world situations and

then solve the equations.

Write an equation:

A chicken lays about 250 eggs a year. If a chicken has already laid

65 eggs, how many more is she expected to lay this year?

• x+65=250

• 250+65=x

• 65x=250

• 65x+250=315

I can write one-step equations to model real-world situations and

then solve the equations.

Solve the equation:

A chicken lays about 250 eggs a year. If a chicken has already laid

65 eggs, how many more is she expected to lay this year?

• 185

• 315

• 4

• 1

I can write two-step equations to model real-world situations and then solve the equations. An ice cream shop is expected to sell 300 cones in a day. They have already sold 75 cones today and expect to sell 50 cones an hour for the remainder of the day. How many hours will the shop need to meet their goal? Write an equation

• 300+50=75x

• 50x+75=300

• 75x+50=300

• 75x+50x=300x

I can write two-step equations to model real-world situations and then solve the equations. An ice cream shop is expected to sell 300 cones in a day. They have already sold 75 cones today and expect to sell 50 cones an hour for the remainder of the day. How many hours will the shop need to meet their goal?

• 5

• 4.5

• 3.33

• 175

• 28

• 10

• 20

• 2

Solve for x

• x = 4

• x = 1

• 2x = 4

• x = 2

What equation is modeled?

• 3 = 6

• 3x = 6

• x = 6

• 3 = 6x

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.

Solve for the missing variable:

• y = 7

• y = 6

• y = 1/6

• y = 8

Solve for the missing variable:

• 21

• 61

• - 20

• 24