Algebra 1 Review

Algebra 1 Review

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Solve

 $3\left(x-4\right)-\left(x-1\right)=2x-\left(x-1\right)$  

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Solve

 $\left|x+10\right|=7$  What is the SUM of your solutions?

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What is the slope of a line that is PERPENDICULAR to

 $2x+4y=7$  

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Write the equation of the line that is parallel to  $y=2x-3$  and passes through the point (-2,6).

Write your equation in slope intercept form.

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Find the solution to the linear system:

 $x-y=12$  
 $3x+y=4$  
Again, write your answer as coordinates. Example: (2,1)

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If  $9x^2-25y^2=30$  and  $3x+5y=15$  , then  $3x-5y=$  

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Find the midpoint of the line segment

 $\overline{HS}$  if  $H=\left(5,0\right)$  and  $S=\left(3,\ -2\right)$ .  Write your answer as coordinates.   Example: (3,-7) 

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Find the volume of a cone if the radius is half the height and the height is 6. Use 3 as an approximation for  $\pi$ .  

[NOTE:   $V=\frac{1}{3}\pi r^2h$ ]

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Solve the equation

 $x^2-6x+5=0.\ \$  What is the larger of your two answers?

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Evaluate the quadratic trinomial  $2x^2-4x-5$  for  $x=-2$  

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Find the median of this data set: [7, 2, 1, 4].