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Algebra
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Consider the function represented by 9x+3 y=12 with x as the independent variable. How can this function be written using function notation?

 

 

 

 

 

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Related questions

Equations and Inequalities
Identifying Properties When Solving Equations
Independent Practice
 
1. The following pairs of equations are equivalent. Describe the operation that occurred in the second equation.
 
 
 
 
 
 
2. Complete the following table with the properties used to solve 4(x+3)=20.
 
Statement Proof
4 (x+3) = 20 Given
4x + 12 = 20  
4x = 8  
x = 2  

3. Complete the following table with the mathematical statements that correspond to the proofs used to solve  

Statement Proof
  Given
  Multiplication Property of Equality
  Distributive Property
  Addition Property of Equality
  Division Property of Equality
 
4. Consider the equations 5x + 10 = 30 and 5 (x+10) = 30.
Do they have the same solution? Why or why not?
 
5. Consider the equations 3x + 2 = 14 and 2+3x = 14.
Do they have the same solution? Why or why not?
 
6. Consider the equation 3 (x+2)+3x = 36
Without solving. Name all the properties that would be used to solve the equation.
 
7. Consider the equation  
Part A: Write an equivalent equation using the multiplication property of equality.
Part B: What properties will you use next to solve the equation?
8. Solve the following equation. Justify each step.
0.2x + 3.1 - 2.1x = 0.3 (x-5) + 0.2
 

 

Equations and Inequalities
Equations: True or False?
Independent Practice
1. Consider the statement: 4 - 3 + 5 = -6 + 8 + 4. This is a mathematically correct sentence.
Is the sentence true or false? Explain how you know.
 
2. Determine if the sentence is true. Select all that apply.
    ⬤   
    ⬤   
    ⬤   
    ⬤   
    ⬤   
 
3. Determine whether the following number sentences are TRUE or FALSE. Justify your answer.
 
                                        
  
 
                                                       
 
 
4. For the equation, x-7=24, can a value be substituted for x to make that a true number sentence? How many values could be substituted for x and have a true number sentence?
 
5. Consider x+4=x+8 . What values could be substituted for x to make this a true number sentence? Explain how you know.
 
6. Determine what value(s) for the variable would make each algebraic equation a true number sentence.
is true for                      _______________.
is true for         _______________.
  is true for         _______________.
 
7. Which of the following has the correct solution given for x? Check all that apply.
 
  ⬤    
  ⬤   
  ⬤    
  ⬤    
  ⬤    
 
 

ALGEBRA! determine the slope and y-intercept of the function
1) f(x)=9x+12
2) p(x)=-x-6
3)f(x)=-8
5) h(x)=-2x+8
6) f(x)=-9x-4

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