ALGEBRA I FINAL EXAM 2007
1.
Write the following equations in slope intercept form then graph the equation.
a) -3x + 2y = 6
2.
b) 6x - 2y = 8
Write an equation of the line that passes through the given points.
a) (4, 3) and (2, 11)
3.
b) (2, 0) and (5, 9)
Solve the following system of linear equations.
a) 5x - 8y = -17
3x - y = 5
4.
c) ¾ x + 2y = 4
b) -2x + 4y = 12
5x - 2y = 10
Simplify. The simplified expression should have no negative exponents
a) (2x2)3(4xy-3)(x3y2)
b) 2a-3b2c-4
8a2b6c-9
5.
A principal of $1500 is deposited in an account that pays 6% interest compounded yearly. Find the
balance after the given number of years.
a) 5 years
6.
b) 10 years
Classify the model as exponential growth or exponential decay and identify the percent increase or
decrease.
a) y = .86(1.24)t
7.
Simplify the expression. Leave answers in radical form.
a)
8.
b) y = 200(.85)t
50
b)
Solve the quadratic equation by using the quadratic formula.
a) 3x2 + 4x - 7 = 0
9.
b) 3x(4x + 3)(x - 2) = 0
Find the product.
a) (x - 7)(3x2 - 4x + 2)
11.
b) 2x2 - 8x = 3
Solve the factored equation.
a) (2x - 5)(x + 4) = 0
10.
c) 3 5  2 3
27
b) (3x + 4)(5x + 2)
Solve the quadratic equation by factoring.
a) x2 + 11x + 24 = 0
b) 2x2 - x - 3 = 0
12.
Give an example of how the graph of a linear, quadratic and exponential equation might look.
a) Linear
b) quadratic
c) exponental
2
x - 4.
3
13.
Give the slope of the line that is parallel to y =
14.
Determine the slope of the line that is perpendicular to y = 
15.
In a bag full of marbles, there are 3 blue, 13 red and 4 yellow. Determine the probability of randomly
choosing a blue marble.
16.
How do you determine the solutions to a quadratic equation by the graphing method?
17.
Find the mean, median and mode of the collection of numbers.
4
x+2
3
10, 5, 25, 5, 10, 15, 20, 50, 5, 15
mean = _____, median = _____ mode = ______
20
Show how you solve the following problems without calculator.
a) 3
21.
4
2
+4
5
3
b)
5
3

3
4
Solve the following equations.
a) 3x + 2(4x - 5) = 10
b) ¾ x - 4 = 7