Jennifer's Jumping Algebra Problems

 

Linear Equation

Linear Equations are equations that when solved, 1 variable equals 1 number.


 
4g-(2+g)=10+2g
4g-2-g=10+2g
 Distribute the - to the (2+g)
   3g-2=10+2g
 Combine like terms (4g and -g)
g-2=10
 All the variables need to be on one side, so subtract 2g from both sides.
   g=12
 Finally, add 2 to both sides to find your answer.  See how easy?!

Tumble on to the next problem.

Literal Equation

Literal Equations have more than 1 variable.  They are solved for a specific variable.  A numerical answer is not available for this type of equation.

A=(1/2)(b1+b2)h :b2
 This is the equation for the area of a trapezoid.  Solve for b2
2A=(b1+b2)h
 To eliminate the fraction, multiply everything by 2.
2A/h=b1+b2 
 Divide both sides by h to get (b1+b2) by itself.
2A/h-b1=b2
 subtract b1 from both sides to find b2
b2=2A/h-b1
 The answer!! 

 
 

Write the Equation of a Line

Using Slope-Intersept form

Slope-Intersept form is y=mx+b,
where m is the slope and b is the y-axis intercept.

Write the equation of a line in slope-intersept form, with slope=3 through the point (2,9).
y=mx+b, so 9=3(2)+b
 Substitute.  Put in the quantities you know. 
9=6+b
 Multiply to simplify the problem.
3=b
 To find b, subtract 6 from both sides. b=3.
y=3x+3
 Re-write the problem in slope-intercept form, and you're finished.  Simple as that!

 

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Thank you for visiting!!  I hope you learned something new, or improved your old algebra skills.
:) Have a great day :)

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