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Sample Algebra Problems
Tim Said:
How do you solve this kind of algebra problem?We Answered:
I've been teaching algebra 1 and 2 for 21 years.study this way :]
15a=3a+84
-3a -3a<------------------minus 3a from each side
--------------------
+12a=84<------------ divide each side by 12
-------- ------
12 12 As you can see a is equal to 8.
E N J O Y E N J O Y E N J O Y
Sarah Said:
What are the basic formulas to use when solving algebra problems?We Answered:
450*.15= 67.53450-67.53=382.5
382.5*.20=76.5
382.5-76.5=306
On this one I feel like I have it figured out, please tell me if I'm correct...
If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
L=6+S
J=5+L
S+L+J=41
L=6+8=14
J=5+14=19
S+14+19=41
S+33=41
-33 -31
S=8
Sue is 8 years old?
Well done!!
Solve the following equation for A : 2A/3 = 8 + 4A
2A=24+12A
-10A=24
A=-12/5
A=-12/5
Manuel Said:
Help with an algebra problem dealing with Rational Expressions?We Answered:
r^2 - 5r + 6 = (r-3)(r-2)r^2 - 4 = (r+2)(r-2)
The (r-2)s cancel leaving answer A
Danielle Said:
Algebra Word Problems. Where's a good free online resource of them?We Answered:
whats the answer for5a+4b=4
4a+5b=31/8
Tim Said:
What are the best Math (algebra) tutorials online? I'm preparing myself for a math placement exam.?We Answered:
Well I'm not so sure what kind of algebra it is, but I'm assuming it's algebra I or algebra IIGo to this site and click the book you want to learn about. then after that click where it's bolded Homework Video Tutors. then select the lesson.
Good luck. :]
Rick Said:
Need help with Algebra 2 problems for test tomorrow.?We Answered:
Hi,1. Find the equation in standard form with vertices of (3, -6) and (3, 2) and foci of (3, -8) and (3, 4).
With foci further apart than the vertices, this is a hyperbola, which opens up and down since all points start with 3. The center is at (3,-2), the midpoint of the 2 foci or of the 2 vertices.
"a" = 4, the distance from the center to a vertex and "c" = 6, the distance from the center to a focus.
So a² = 16, c² = 36, and b² = 20 (from a² + b² = c²)
The equation of this hyperbola is:
y + 2. . x - 3
-------- - ------- = 1 <==ANSWER
. 16 . . . 20
2. x² - 4y² - 40y + 6x + 10 = 0 state center, vertices, foci.
x² - 4y² - 40y + 6x + 10 = 0
x² + 6x + __ - 4y² - 40y + __ = -10
x² + 6x + 9 - 4(y² - 10y + 25) = -10 + 9 - 100
(x + 3)² - 4(y - 5)² = -101
(y - 5)². . (x + 3)²
---------- - ----------- = 1
25.25 . . . 101
center: (-3,5)
vertices: (-3,5 + ?(101)/2), (-3,5 - ?(101)/2), (-3 - ?(101),5), (-3 + ?(101),5)
foci: (-3, 5 + ?(303)/2), (-3, 5 - ?(303)/2)
3. Find the ellipse in standard form: 3x² + 4y² + 12x + 24y - 12 = 0.
3x² + 4y² + 12x + 24y - 12 = 0
3x² + 12x + __ + 4y² + 24y + __ = 12
3(x² + 4x + __) + 4(y² + 6y + __) = 12
3(x² + 4x + 4) + 4(y² + 6y + 9) = 12
3(x + 2)² + 4(y + 3)² = 12 + 3(4) + 4(9)
3(x + 2)² + 4(y + 3)² = 60
(x + 2)² . (y + 3)²
---------- + ---------- = 1 <==ANSWER
. 20 . . . . . 15
4) y = a(x - p)(x - q) is the equation of a parabola with x intercepts at p and q.
y = a(x + 4)(x - 2)
-2 = a(-3 + 4)(-3 - 2)
-2 = a(1)(-5)
a = 2/5
y = 2/5(x + 4)(x - 2) <==ANSWER
I hope that helps!! :-)