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Algebra 2: Practice Cumulative Test #2
Skill #1: Scientific Notation and Standard Notation
a) Multiply and put answer in scientific notation:
7
2
(8 10 )(4 10 )
Name:_______________________Period______
b) Divide and put answer in scientific notation:
(2 106 )
(5 103 )
Skill #2: Simplifying Expressions with Exponents
Final answers should have only positive exponents!
a)
(5 x 4 y 3 )2
35a 5b
b)
14a 2b3
Skill #3: Write Polynomials in Standard Form
a) Write the following polynomial in standard form. Name it by degree and number of terms.
2 x  4 x4  5x2  3x3
Skill #4: Polynomial Addition and Subtraction
a) Add the polynomials below and put your answer in
standard form:
(3x2  4 x3  6 x)  (5x  2 x3  4 x2 )
b) Subtract the polynomials below and put your
answer in standard form:
(7 x2  4 x  3)  (2 x2  6 x  7)
Skill #5: Polynomial Multiplication
Multiply the following polynomials, combine like terms and put your answer in standard form:
b) (5x  2)(3x  4)
a) 5x 2 y(3x 4 y 3  6 xy 2  7)
c) ( x  6)2
Skill #6: Factoring by Greatest Common Factor
Factor the following polynomials by factoring out the GCF:
a)
5x4  25x2
b) 18x5 y3  30 x 4 y 2  42 xy
Skill #7: Factoring by GROUPING
Factor the following polynomial by grouping:
a) 5x3  10 x2  3x  6
b) 14 x3  7 x2  4  8x
Skill #8: Factoring Trinomials
Factor the following trinomial using DIAMOND and GROUPING:
a) 3x2  11x  70
b) 4 x 2  12 x  9
c)
x2  11x  24
Skill #9: Factoring Differences of Squares
a)
x 2  81
b) 25  4x 2
c)
36 x 2  49 y 2
d) 100  x 4
Skill #10: Multistep Factoring
Factor the following polynomial using TWO STEPS (hint: GCF is the first step
a) 3x3  15x2  72 x
b) 2 x 2  32
Skill 11: Solving Quadratic Equations by factoring
Solve the following equation by factoring first and then using the zero product property:
x2  3x  54  0
a)
b) 2 x2  3x  10  20  4 x
Skill #12: Simplifying Radical Expressions
a)
98
b)
8 200
2 5
c)
2 20  3 45  4 5
Skill #13: Solving Quadratics by Square Roots
Solve the following equations using Square Roots (NOT by factoring)
a)
2 x2  30  60
b) 9 x2  40  60
( x  1)2  20
Skill #14: Solving Quadratics by Completing the Square
Solve the following equation by Completing the Square (NOT by factoring)
a)
x2  18x  41  0
b) 2 x2  12 x  50  32
Skill #15: Solving Quadratics by Quadratic Formula:
Solve the following equations using the QUADRATIC FORMULA (NOT by factoring)
a)
x2  10 x  6  9
b) 3x 2  2  4 x
Skill #16: Graphing Quadratic Functions: 5 Step Method:
Graph the following functions by finding the LOS, vertex, x-intercepts, y-intercept and reflection point:
a)
y  x2  4 x  5
b)
y  2 x 2  4 x  16
Skill #17: Graphing Quadratic Functions: Vertex Form
Graph the parabolas below by plotting the vertex, and then finding the y-intercept and reflection point.
a)
y  ( x  3)2  2
b)
y  ( x  1)2  4