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Unit 2 Self-Efficacy Assessment Listed below are types of math problems which you will be exposed to during the first unit of this course. We would like you to quickly look at each problem (don’t actually solve it) and then, using the rating scale described below, circle then number on the scale next to each problem that accurately describes how confident you are in your ability to solve that type of problem. Scale: 0-----1-----2-----3-----4-----5-----6-----7-----8-----9 no confidence some confidence Complete at all confidence 1. Monomials and polynomials Ex: Identify the monomials in this list. (5x2 ) , (5x + 4), (3x2 + 6x -3) , 24 0 1 2 3 4 5 6 7 8 9 2. Monomials and polynomials Ex: Identify the polynomials in this list. (-36), (a2 + b2), (26x3), (x2y5z2) 0 1 2 3 4 5 6 7 8 9 3. Multiplying binomials using the FOIL method Ex: Multiply these binomials: (4n-3)(3n+2) 0 1 2 3 4 5 6 7 8 9 4. Roots of a quadratic equations Ex: Find the roots of this quadratic equation, w2+2W=48 3 4 5 6 7 8 9 0 1 2 5. Identifying the constants in a quadratic equation in order to use them in the quadratic formula Ex: To solve the quadratic equation, 5x2+2x-3=0, using the quadratic formula, what are the values of a, b, and c? 0 1 2 3 4 5 6 7 8 9 6. Solving a quadratic equation using two different methods Ex: Use two different methods to solve the following quadratic equation: x2-4x+1=0 0 1 2 3 4 5 6 7 8 9 7. Multiplying binomials Ex: The area of a sector of an electromagnet formed by two circles of radii, r1 and r2, whose angle is is given by: (r1+r2) (r1-r2) Multiply out this expression. 0 1 2 3 4 5 6 7 8 9 8. Solving a quadratic equation using the quadratic formula. Ex: The voltage across the capacitor, C, shown in the figure below is given by the quadratic equation v(t) = t2 – 6t. Using the quadratic formula, find t when v(t) =16V. 0 1 2 3 4 5 6 7 8 9 9. Writing a quadratic equation in standard form Ex:The power P delivered by the voltage source shown in the figure below is given as P = I2R + IV. For particular values of R, V, and P, the current I satisfies the quadratic equation 210 = 10I2 + 40I. Write the quadratic equation for I in the standard form as aI2 + bI + c = 0. 0 1 2 3 4 5 6 7 8 9 10. Represent a geometry problem using a quadratic equation. Ex: The area of a solar panel installed on the roof of a house is 600cm2. If the length is 5 cm more than the width, what are the dimensions of the solar panel? Set up and solve the quadratic equation which describes this scenario. 0 1 2 3 4 5 6 7 8 9 11. Represent an electric circuit scenario using a quadratic equation. Ex: The equivalent capacitance, C, of two capacitors connected in series as shown in the figure below is given by C= Suppose C2 = C1 + 100 and that the equivalent capacitance is C= . Substitute these values into C= and obtain the quadratic equation for C1. 0 1 2 3 4 5 6 7 8 9 12. Solve a quadratic equation using three methods. Ex: The energy dissipated by a resistor shown in the figure below varies with time t in seconds according to the equation W = 3t2 +6t. Solve for t if W=3 joules, using all three methods: factoring, completing the square, and solving the quadratic formula. 0 1 2 3 4 5 6 7 8 9