Friday, March 22, 2013

Algebra 2 Practice Tests

Introduction to online algebra 2 practice tests:

There are many online tests available for algebra 2. The algebra 2 defined as solving equation like graphs, function, quadratic equations, slope of a line and trigonometric Identities. In algebra we can refer about the quadratic equations and slope. Quadratic equation in which from the second power is the highest degree to which one denotes degree of variable formation is called as quadratic equation. Algebra deals with unknown values called variables, unlike arithmetic which is based entirely on known number values.

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Algebra 2 practice test equation of a line:


If the slope m of a line plus a point (x1, y1) on the line are both known, then the equation of the line can be found using the point-slope formula:

(y- y1) = m (x-x1)

Online Algebra 2 practice test problem:

Find the equation of the line in slope- intercept form passes through (-4, 5) with a slope 1/2.

Solution :

slope formula for given points (y - y1) = m(x - x1)

It goes through the point (3, 2) and has a slope of 1/2. So appropriate the information to the point-slope formula gives:

substitute the given values into the formula

(y - 2) = 1/2(x - (3))

(y - 2) = 1/2(x + 3) multiply that (1/2) inside the brackets.

(y - 2) = x/2 + 3/2

y = x/2 +3/2 + 2

y = x/2 + 7/2

The final equation is in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

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Example for online algebra 2 practice test:


(x + 2)(x + 3) = 0

x + 2 = 0 or x + 3 = 0

x = -2 or x = -3

Therefore, the solution is x = -2, -3

x^2 + 3x +2 = 0  Use quadratic equation to solve this problem.

solution:

formula for quadratic equation x = ( -b ± √ (b^2 - 4ac)) / 2a

Given details are  a = 1

b = 3

c = 2

x = (-3 ± √ (9 - 4(1)(2))) / 2(1)

x = (-3 ± √ ( 9 - 8 )) / 2

x = (-3 ± √ 1) /2

Therefore, the solution is (-3 + √ 1) / 2, (-3 - √ 1) /2

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