2015 Fall Semester Algebra 2 Final Exam Study Guide
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Evaluate x + y2(2 + x) if x = 3 and y = -1.
Solve the equation x2 + 2x + 2 = 0
Solve the equation x2 + 6x = 16
Solve the equation x2 + 34x + 289 = 0
Write the equation in vertex form: y = x2 + 4x + 6
Write the equation in vertex form: y = 2x2 - 12x + 17
Simplify (2x-3y3)(-7x5y-6)
Simplify 15c5d3/-3c2d7
Simplify (-x2 – 3x + 4) – (x2 + 2x + 5)
If 3m + 5 = 23, what is the value of 2m – 3?
Carson has $35 to spend at the water park. The admission price is $25 and each soda is $2.50.
Write an inequality to show how many sodas he can buy.
|x + 4| = 3
|3m + 2| = 1
|3x + 2| = -3
Solve each equation. If exact roots cannot be found, state the consecutive integers between
which the roots are located: x2 + 8x = 0
Solve each equation. If exact roots cannot be found, state the consecutive integers between
which the roots are located: 4x - x2 + 8 = 0
Solve each equation. If exact roots cannot be found, state the consecutive integers between
which the roots are located: -12 – 5x + 3x2 = 0
Solve each equation. If exact roots cannot be found, state the consecutive integers between
which the roots are located: x2 - 6x + 4 = -8
Solve each equation. If exact roots cannot be found, state the consecutive integers between
which the roots are located: 9 – x2 = 12
Solve each equation. If exact roots cannot be found, state the consecutive integers between
which the roots are located: 5x2 + 10x – 4 = -6
Solve each equation. If exact roots cannot be found, state the consecutive integers between
which the roots are located: x2 – 20 = 2 + x
Write a quadratic equation in standard form with ¾ and -5 as its roots.
Solve 20x2 + 15x = 0
Solve 4x2 – 12x + 9 = 0
Solve x2 – 11x + 30 = 0
Solve x2 – 4x - 21 = 0
Factor this polynomial: 40a2 – 32a
Factor this polynomial: 51c3 – 34c
Factor this polynomial: 3x2 - 12
Simplify √-18
Simplify 3i x 4i
Simplify 4x2 + 100 = 0
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Simplify (-2 + 5i) + (1 – 7i)
Simplify (4 + i)/5i|2x + 5| - 7 = 4
|5x - 2| - 6 = -3
|x + 6| + 9 = 8
Find the value if f(x) = -2x + 3 if f(-4).
Find the value if f(x) = -2x + 3 if f(3y).
Find the slope of the line that passes through (1,6),(3,10)
Find the slope of the line that passes through (-2,7),(3,-1)
Write an equation in slope intercept form for the line that has a slope of -2 and passes
through the point (3,-4).
Write an equation in slope intercept form for the line that passes through the point (-3,5) and
is parallel to y = -6x + 1.
Solve the system of equations by using either substitution or elimination: y = x + 4; x + y = -12.
Solve the system of equations by using either substitution or elimination: 3y - 4x = -40; 5x + 2y
= 4.
Solve the system of equations by using either substitution or elimination: 2y = -x + 8; 2x - y = 9.
Solve the equation x2 – 12x + 36 = 0
Solve the equation x2 – 10x + 24 = 0