To Help Thee Out

Summer Work - 2010
Before you begin Pre-IB Algebra 2/Trig., you should be able to:

    • Know and apply order of operations.
    •   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.
    • Factor a trinomial.
    • Simplify exponential expressions.
    • Know and apply Pythagorean Theorem.
    • Simplify a radical.
    • Solve a right triangle using sin, cos, or tan.
 
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.   Perform the indicated operations.

[pic]

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

4. Find the equation of the line graphed below.

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

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

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

8. Graph each equation.

a.  -2x + 5y = 15

b.   x = - 4

c.   y = 1

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

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

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

12. Graph x + 4y < 12

13. Solve each system of linear equations.

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

14. Simplify each expression.

a. (b2c4)(3b4c2)

b. (3a4/a2)2

15.   Factor.

[pic]

16.   Simplify.

[pic]

17.   Given [pic], where [pic]is a right angle, [pic] find c.

18.   Brandon spots... [continues]

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