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Which graph represents the solution set to the system of inequalities?
 

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Related questions

Chapter 1 Test 
______ 1. What are the domain and range of the function defined by y=|x+3|-2 written in set-built interval notation?
Set Builder Notation                   Interval Notation
Domain:
Range:
______ 2. For what values of x is increasing? decreasing?
a. increasing: (0, ) ; decreasing: (-, 0)
b. increasing: (-, 0) ; decreasing: (0, )
c. increasing: not increasing on any interval; decreasing: (-7, )
d. increasing: (-7, ); decreasing: not decreasing on any interval
______ 3. Let g(x) be the reflection of in the x-axis. What is a function rule for g(x)?
                   
                      
4. The function . The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?
5. Graph the piecewise-defined function given.
 
 

A grocery clerk sets up a display of 12-pack cartons of cola. There are 15 cartons at the base of a triangle and one at the top. How many cartons of cola are needed for the complete display. 

9. Use a calculator to evaluate the series   

10. Use graphing technology to approximate the solutions of the equation   to the nearest tenth.
x = _______________ and  _______________ 
 
      Solve the system.
11.   
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
 

 

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