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Summer Algebra Assignment

For all students who will be taking Algebra 2 in the 2009 / 2010 school year:

Algebra 2 Summer Work by Mrs. Henderson

It’s not too early to begin thinking about your success in Algebra 2 next year! Since many of you have spent the past year in geometry class, it will be a good idea to refresh your algebra skills. Below are the minimum prerequisite skills from algebra 1 along with some practice problems. This assignment will not be checked or graded; however, there will be a test on these skills the first or second day we return to school.

If you have trouble with any of these problems, solutions will be posted on my website by July 1st. In addition, please email me with your questions at shenderson@faculty.brashiermiddlecollege.org. (My schedule is very full this summer, so please note it may take a few days to respond to your emails.)


Before you begin Algebra 2, you should be able to:

  • Solve any one variable equation.
  • Calculate slope of a line given two points or a graph.
  • Write the equation of a line given slope and y-intercept, slope and a point, two points, or a graph.
  • Graph any line (including vertical & horizontal)
  • Identify a function, domain and range.
  • Use function notation to evaluate a function.
  • Solve and graph one & two variable inequalities.
  • Solve a system of two linear equations.
  • Simplify exponential expressions.

 

Practice Problems

1. Solve for x.

a.  6(2x + 7) = 102

b.   3 – 4x = 5(x + 6)

c.  5x + 3(x – 3) + 7 = 2x - 1


2. Find the slope of the line through the points (3, 5) and (9, -4).


3. Find the equation of the line graphed below.


4. Write the equation of the line with slope -1/2 and y-intercept 5.


5. Write the equation of the line with slope -1 and point (-3, 7).


6. Write the equation of the line through points (3, 4) and (5, 8).


7. Graph each equation.

a.  -2x + 5y = 15

b.   x = - 4

c.   y = 1


8. Determine whether the relation is a function and give the domain and range of the relation {(2, 4), (3, 9), (4, 4), (5, 9)}.


9. Find f(-1) for f(x) = -2x + 5


10. Solve and graph the solution. -4 < -3x + 2 < 8


11. Graph x + 4y < 12


12. Solve each system of linear equations.

a.   y = 2x + 3                        b. 5x – 4y = 2
      3x – y = -1                           -3x + 4y = 2


13. Simplify each expression.

a. (b2c4)(3b4c2)

b. (3a4/a2)2