10.2: Writing Equations

10.2: Writing Equations

By SHAVONN BECKUM

​Writing Equations from Word Problems

1. ​Determine your INDEPENDENT and DEPENDENT VARIABLES

2. ​Figure out the relationship between the variables (addition, subtraction, multiplication, division)

   What are you doing to the independent variable to get the dependent variable?

3. Write your equation with TWO variables​

Multiple Choice

A(n) _____________ variable depends on or is changed by another variable.

• dependent
• independent

Multiple Choice

Independent means

• an amount that can stand on its own
• an amount that depends on another amount

Multiple Choice

Sophie earned $5 for every A she got on her report card.

m = money

A = A on report card

The dependent variable is:

• m = money

• A = A on report card

​Task 1:

Ms. Tran tutors students in mathematics. Her rate is $25.50 per hour. How much does Ms. Tran earn tutoring for any number of hours?

​

Multiple Choice

Ms. Tran tutors students in mathematics. Her rate is $25.50 per hour. How much does Ms. Tran earn tutoring for any number of hours?

What is the INDEPENDENT variable?

• Her rate ($25.50)

• The hours she tutors

• The amount she earns

Multiple Choice

Ms. Tran tutors students in mathematics. Her rate is $25.50 per hour. How much does Ms. Tran earn tutoring for any number of hours?

What is the DEPENDENT variable?

• Her rate ($25.50)

• The hours she tutors

• The amount she earns

Multiple Choice

Ms. Tran tutors students in mathematics. Her rate is $25.50 per hour. How much does Ms. Tran earn tutoring for any number of hours?

What's the relationship between the independent and dependent variable?

• dependent variable = $25.50 + independent variable

• dependent variable = $25.50 - independent variable

• dependent variable = $25.50 x independent variable

• dependent variable = $25.50 / independent variable

Open Ended

Ms. Tran tutors students in mathematics. Her rate is $25.50 per hour. How much does Ms. Tran earn tutoring for any number of hours?

Write an equation to represent this the amount Ms. Tran earns tutoring