Unit 2 Lesson 10-Solving 2-Step Equations Using Models

Unit 2 Lesson 10-Solving 2-Step Equations Using Models

Monday 9/27/2020

Objective: SWBAT understand the process of solving two-step equations through models. SWBAT write an equation from model, and then find the solution.

• 7.10(A) write one-variable, two-step equations and inequalities to represent constraints or conditions within problems.

• 7.11(A) model and solve one-variable, two- step equations, and inequalities.

Vocabulary:

• Variable: A quantity that can change. Letters are used to represent these changing, unknown quantities. 

• Equation: a mathematical statement that two things are equal. It consists of two 

  expressions, one on each side of an 'equals' sign. 

• Inverse Operation: An operation that undoes what was done by the previous operation. 

• Coefficient: A number multiplied by a variable. 

• Constant: A value that doesn't change, a fixed value. A number that is added to or 

  subtracted from a variable. 

Vocabulary:

• Solution: A value, or values, we can put in place of a variable (such as x) that makes the equation true. 

• Isolate: To get alone on one side of the equal sign. 

• Balance: To maintain equal values on both sides of the equal sign.

DO NOW

• Which model correctly represents the equation 4x = 12

• Model A

• Model B

Multiple Choice

What model represents 4x=12

• A

• B

Multiple Choice

Which represents Maryann's situation:

• 79

• S + 15 = 94

• S - 15 = 94

• 30

Multiple Choice

How many stamps did Maryann have before she bought the last 15 stmaps?

• 79

• 94

• 38

• 70

Solve the following equation:

• 1.Identify variables, coefficients, constants, and total value.

• 2.Set up equation

• 3.Apply the 1st inverse operation on constant.

• 4.Apply the 2nd inverse operation on variable.

Fill in the Blanks

Write the equation:

Fill in the Blanks

Write the solution :

Multiple Select

Choose the correct Coefficient, variable, constant , and total value.

• Coefficient: 3 Constant :4

• Coefficient 4 and Constant: 3

• Variable: X

• Variable: Y

• Total Value: 13

Fill in the Blanks

The equation of problem #4:

Fill in the Blanks

What is the final answer?