<p> NAME:______DATE:______</p><p>Algebra I Final Exam Review Part 1: Expressions, Equations & Inequalities</p><p>Keywords: expression, equation, evaluate, solution, equation, reciprocal, inequality, greater than, less than</p><p>Evaluate: x + 3 [1] when x = 8 and y = 3 [2] 6w – z ² when w = 3 and z = 8 y</p><p>[3] Distribute: 5(3x + 8y)</p><p>Solve the equation/inequality:</p><p>[4] 25 = 30 – x [5] 4x + 10 = 34</p><p>[6] 5x + 12 = 2x – 3 [7] 10(2x + 4) = 8x + 88</p><p>[8] Solve and Graph on a numberline: 5x - 3 3(x + 4)</p><p>1 Algebra I Final Exam Review Part 2: Linear Equations and Inequalities</p><p>Keywords: coordinate, ordered pair, x-intercept, y-intercept, slope, linear</p><p>Standard Form of a Line → Ax + By = C </p><p>Slope-Intercept Form of a Line → y = mx + b</p><p> rise y- y Slope Formula → m= slope = = 2 1 run x2- x 1</p><p>[9] Name the coordinates of A, B, C, and D. [10] Graph: y = -5x + 2</p><p> y 10</p><p>5</p><p>-10 -5 5 10 x</p><p>A= B= C= D= -5</p><p>-10</p><p>[11] Find an equation, in slope-intercept form, of a line having slope 5 and y-intercept -7. 12] Find the slope of the line passing through the points A( 4, -2) and B(-7, -1).</p><p>Write the equation of the line with the given slope and given y-intercept.</p><p>[13] m = ½, b = 7</p><p>2 Write the equation of the line in slope-intercept form that passes through the given point and has the given slope.</p><p>[14] (6, -5), m = -4</p><p>[15] What are the x and y intercepts of the line 4x- 5 y = 20 ?</p><p> y 10</p><p>5</p><p>[16] Graph the linear inequality y>2 x - 5</p><p>-10 -5 5 10 x</p><p>-5</p><p>Algebra I Final Exam Review -10 Part 3: Systems of Equations & Inequalities</p><p>Keywords: inequality, system of equations, solution to a system</p><p>[17] Solve by linear combination: 2x - y = -15 4x + y = 9</p><p>[18] Joe sold 200 tickets to a school fundraiser. Student tickets cost $3 and adult tickets cost $4. Joe raised a total of $650. How many student tickets and how many adult tickets to Joe sell?</p><p>3 y [19] Solve the system of inequalities by graphing: 10</p><p>1 y< -2 x + 2 y>2 x - 4 5</p><p>-10 -5 5 10 x</p><p>-5</p><p>-10</p><p>Algebra I Final Exam Review Part 4: Exponents</p><p>Keywords: simplify,product of powers, power of products, power of powers, power of quotients, quotient of powers</p><p>Simplify the Expression</p><p>4 [20] x3 x 5 [21] (2y)</p><p>8 3 7 [22] (52 ) [23] 73</p><p>2 骣x5 33 3 5 [24] 琪 [25] 桫x 310</p><p>2 2 5 3 8x y z [26] ab3 a 4 [27] ( ) 2x2 y 4 z</p><p>4 Algebra I Final Exam Review Part 5: Polynomials and Quadratics</p><p>Keywords: polynomial, degree, coefficient, quadratic, factor, GCF, solutions -b x- vertex = standard form= ax2 + bx + c 2a vertex form =a ( x - h )2 + k vertex = (h , k ) </p><p>Add the Polynomials: Subtract the Polynomials: [28] (12x + 2) + (3x2 + x - 1) [29] (5x3 - 2x + 4) - (3x 3 + 3x 2 - 8)</p><p>Multiply the polynomials using FOIL or the area model: [30](2x + 3)(x - 4) [31] 4x( 5x - x² + 2)</p><p>Factor and Solve: [32] x2 + 3x + 2 = 0 [33] 2x2 + x - 15 = 0</p><p>[34] Use the graph on the right to answer the y questions below: 5</p><p> a.) What is the vertex?</p><p> b.) What is the shift from the parabola y= x2 ? 0 x</p><p> c.) What is the axis of symmetry?</p><p>-5 -5 0 5 5 d.) Write the equation of the parabola in vertex form.</p><p> e.) Write the equation of the parabola in standard form.</p><p> f.) What is the y-intercept?</p><p>Algebra I Final Exam Review Part 6: Polynomials and Quadratics</p><p>[35] Find the mean, median, mode and range of the following numbers:</p><p>8, 13, 22, 31, 35, 56, 2, 10, 16, 28, 35, 50</p><p>Mean: ______Mode:______</p><p>Median:______Range:______</p><p>[36] Use the numbers above to create a box and whisker plot. ( hint: use max. and min., upper and lower quartiles, and median)</p><p>6</p>