2-3 Equivalent Equations

Multiple Choice

Solve for x.

$$2x-4=20$$  

• $$x=22$$  

• $$x=12$$  

• $$x=8$$  

• $$x=32$$  

Multiple Choice

Solve for x.

$$2\left(x-2\right)=20$$  

• $$x=22$$  

• $$x=12$$  

• $$x=8$$  

• $$x=32$$  

Poll

What genre of movies is the best?

• Horror

• Comedy

• Romantic Comedies

• Action

​like term: terms whose variables and exponents are the same

​

In English: the term must have same letters and same exponents on those letters​. ex. 5x⁴ and -3x⁴

​Like Terms

​term: a single mathematical expression

​

​

In English: anything separated by a plus(+) or minus(-)​

​

Term

​Terms and Like Terms

Some text here about the topic of discussion

Match

Match the following like terms

• 5x⁴

• -4

• 2y²

• 20x

-3x⁴

3

3y²

-5x

• -3x⁴

• 3

• 3y²

• -5x

Multiple Choice

What term did I move to get from

$$5x-4=-3x+20$$  

to $$5x=-3x+24$$  

• 5x

• -4

• -3x

• 20

​Equivalent Equations

What is an equivalent equation?

• An equivalent equation is an equation equal in value to another equation.

• Today we will learn how to identify equivalent functions by simplifying using ​combining like terms, distributive property and balanced moves.

Multiple Choice

Which of the following equations is not equivalent to:

$$3x+6=4x+7$$  

• $$3x=4x+1$$  

• $$6=7x+7$$  

• $$3x-1=4x$$  

Multiple Choice

Which of the following equations is not equivalent to:

$$3\left(x+6\right)=24$$  

• $$x+6=21$$  

• $$3x+18=24$$  

• $$x+6=8$$  

Poll

What will be the first step to solve this equation?

$$3x+6=4x+7$$  

•  To identify the largest x term and move the all x terms to that side?

  (subtract 3x from both sides)

•  To move the 6.

  (subtract 6 from both sides)

•  To move the 6.

  (add 6 to both sides)

Multiple Choice

We know have $$6=x+7$$  

Solve for x.

• $$1=x$$  

• $$13=x$$  

• $$-13=x$$  

• $$-1=x$$  

Draw

Draw the best car in 2 minutes.

Multiple Choice

Exit Ticket: Combine all like terms to identify the equivalent expression.

$$3x^2+5x-3x+2x^2+5-7$$  

• $$7x-2$$  

• $$5x^2+8x+12$$  

• $$5x^2+2x-2$$