Marking+Period+2+Review+Page

3 notes You are expected to sign up for AT LEAST 2 sections. Besides giving some explanation about the section you must answer the BIG IDEA Question for your section. You may need to do some work and use photobooth to take a picture of your work and post it on the page.
 * ~  ||   ||~   || [[image:Photo_12.jpg width="216" height="166"]] ||
 *  ||
 * 3-2 - || marjorie || Dan || brystal ||
 * 3-3 || Nicole || Megan || Keith ||
 * 3-4 || JOHN || andrew ||  ||
 * 5-1 || JOHN || Keith ||  ||
 * 5-2 || Nicole || dylon || brystal ||
 * 5-3 || dylon || Kyle || Katelyn ||
 * 5-4 || marjorie || Seth ||  ||
 * 5-5 || Megan || Kyle ||  ||
 * 5-6 || andrew || Katelyn ||  ||
 * 5-7 || Keith || Seth || Dan ||

3-2 You would like to minimize the amount of work required to solve a system of equations. Tell whether you would solve each system using substitution or elimination and why. y = 2x || 3x + y = -7 x-y = -5 || 3x -2y =0 9x + 8y = 7 || Substitution: y is already figured out, so you could plug 2x in for y to figure out x then figure out y to solve the linear system. 4x+y =6 y = 2x Elimination: the x and y are both on the same side, multiply the lower linear system by 3 on each side then eliminate and plug the answer back in and solve. 3x + y = -7 x-y = -5 Elimination: the x and y are both on the same side, multiply by -3 on both sides of the top linear system then eliminate and plug the answer back in and solve. 3x -2y =0 9x + 8y = 7
 * 4x+y =6

3-3 Explain how to determine which region to shade to indicate the solution set of a system of linear inequalities.

When you have an inequalitiy, graph it. Then you pick a point to put into the equation. So lets say you have the inequalitiy, y is greater than or equal to 3/2x + 2. I'm going to pick the point (-4,0). Then you put the point in for x and y. So 0 is greater than or equal to 3/2(-4) + 2. When you solve that you get 0 is greater than or equal to -4, which is a true statement. Whenever the inequalitiy is true, you shade a side of the inequality. When you look at the line, if the zero is on the right side of the line then you shade the whole area to the right of the line. If the zero is on the left side of the line, then you shade the whole area to the left of the line. The shaded area represents all the points that could be a possibility to make the inequality true. -Megan Warner.

3-4 Explain the meaning of the constraints, feasible region, vertices, and objective function in a Linear Programming problem. Constraint- ONe of the inequalities in a linear programming problem. Feasible region- The solution to the set of constraints(graph). Vertices- points made by lines that form shapes on graphs. Objective Function-

5-1 Explain the vertical and horizontal translations, reflection, vertical stretch and compression in parabolas. everytime i try to save this it deletes 5-2 What are the properties of a parabola. (see the Get Organized section of this chapter). The properties of a parabola are it opens upward if a > 0 and is happy, downward if a < 0 and is sad, axis of symmetry is a vertical line, x=b/2a, vertex is a point on the axis of symmetry, y-intercept is C. –Dylon



5-3 Explain how to factor using the x-box method. When do you find a zero of a function and how? When do you find a root of an equation and how?



The zeros of a function are the x intercepts.

The roots of an equation are found using the __zero product property__- if the product of two quantities euals zero, at least one of the quantities equals zero. ex. f(x)=x2-8x+12 x2-8x+12=0 (x-2) (x-6)=0 x-2=0 orx-6=0 x=2 or x=6 Katelynn Fauth -Kyle and Dylon

5-4 Explain how to convert a quadratic equation from standard to vertex form? To convert a quadratic function to vertex form, you must first identify its vertex. For the function //f//(//x//) = //x// // ² //  + 10//x// – 13, first extend the problem out to complete the square. So //f//(//x//) = (//x// // ² //  + 10//x//  □)  – 13 -  □. Next, add //b///2//²// to the left side and subtract it from the right side, so // f // (//x//) = [//x// // ² //  + 10//x//  (10/2) //²//]  – 13 -  (10/2) //².// Now simplify and factor so // f // (//x//) = (//x// + 5  ) //²//  – 38. The value -5 means that the x-coordinate is -5, and the -38 likewise denotes the y-coordinate. Thus, the vertex form of //f//(//x//) = //x// // ² //  + 10//x// – 13 is (-5,-38). -seth

5-5 Complete the Get Organized problem on pg 352. Explain the parts of a complex number. Megan Warner

5-6 The quadratic formula ex. Katelynn Fauth

5-7 To solve the inequality // x  //// ² - // 4//x +// 1 > 6, write it as an equation. // x  //// ² - // 4//x +// 1 = 6. From here, solve the equation by writing it in standard form, so // x  //// ² - // 4//x// -5 = 0. When factored, this becomes (//x//-5)(//x//+1) = 0, which by the zero product property boils down to x-5 = 0 or x+1 = 0. When you solve for x, you should get x = 5 or x = -1 as your answers. Next, input values for x into the inequality. (-2) ² //-// 4(-2) //+// 1 > 6 and  (6)  ² //-// 4(-6) //+// 1 > 6 work. Plot these points onto a number line. Because the inequality sign is strictly greater than, do not shade in the circles on the number line. The solution to this inequality is x < -1 or x > 5, or (-∞, -1) or (5, ∞). -seth
 * Solving Quadratic Inequalities **