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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 ) (5 103 ) 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