Solve Equations by Substitution

Solve Equations by Substitution

I Can...

Determine if two expressions form an equation.

Using substitution, determine if a number from a replacement set makes an equation true.

Standards

• 6.AF.4

  Understand that solving an equation or inequality is the process of answering the following question: Which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

• 6.AF.2

  Apply the properties of operations (e.g., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions and to justify whether two linear expressions are equivalent when the two expressions name the same number regardless of which value is substituted into them.

What is n?

 $n+5=15\ \ \ \ \ \$  

Open Ended

What did you get?

Multiple Choice

Evaluate the equation is it

 $\ne$  or  $=$  ?
 $5\cdot6+4^2\ ?3^2\left(6+2\right)$  

•  $=$  

•  $\ne$  

Multiple Choice

Do the expressions form an equation? 

 $\ne$  or  $=$  
 $2^3\cdot4=or\ne4^2\cdot2$  

•  $=$  

•  $\ne$  

Vocabulary:

• Variable = a letter or symbol that represents an unknown or changing number or value

• Equation: a number sentence that indicates that two expressions are equal

• Solution: a value of a variable that makes an equation true

• Replacement set: the given set of numbers that a variable may represent

• Solution set: the set of all solutions to a given open sentence

Multiple Choice

Is the given value for the variable a solution to the equation?

 $2n+5=^?27\ \ n=11$  

• Yes

• No

Multiple Choice

Is the given value for the variable a solution to the equation?

 $4\left(x-3\right)=^?\ 3x$  

• Yes

• No

Multiple Select

Find the solution set of the equation given the replacement set.

 $4y-3\ =^?\ 13\ \ \ \ \left\{3,4,5\right\}$  

• 3

• 4

• 5

Open Ended

What does it mean to solve an equation?

Open Ended

How do you solve an equation by substitution?

Open Ended

What is the difference between a replacement set and a solution set?

Poll

How do you feel about this lesson?

• I've got it like a boss!

• I can probably pass

• I get it but I still have questions

• I have no idea what you were talking about

Multiple Select

Exit Question - Solve it and leave

Which expressions have the solution x=6?

Select all correct expressions.

This lesson is available at : https://quizizz.com/join code: 49377572

• $4x-2=22$

• $x+6=6$

• $\frac{x}{2}=3$

• $x-5=10$

• $2x+3=21$