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Warm UP: Solve and check: 1) 3n – 7 = 26 2) 3(-4x + 2) = 6(2 + x) Solve and graph each solution on a number line: 3) 5p > 10 or -2p ≤ 10 Solve and check: 4) 4m 2 10 5) 3 2d 1 21 Algebra 2: Review #2 of Algebra 1 Skills Graphing Linear Equations X only equations are VERTICAL lines and have UNDEFINED slope Y only equation are HORIZONTAL lines and have ZERO slope For Diagonal Lines (equation contains BOTH x & y): Put the equation in y = mx + b form Identify the slope (m) and y-intercept (b) Plot the y-intercept point on the y-axis From the y-intercept point move the value of the slope (rise over run) to plot more points Graphing Linear Equations (Cont) 1) 3x – 2y = -6 4) y = 2 x–3 3 2) y = 2 5) 2x – 5y = 15 3) x = -8 Graphing Linear Inequalities Graph the line as we did above If <, > dashed line, if ≥, ≤ solid line Shade > above or < below or test a point to find true side 1) y < 2x + 6 2 2) y ≥ x – 2 3 3) y > - 8 Graphing Absolute Value Functions All absolute value graphs look like the letter V when graphed. y = x (parent function, vertex is on origin) Vertex form: y = a x h + k where the vertex is at (h, k); value is the opposite of h, same k Find the vertex, then make an XY table to find more points. (Every point found has a reflection) 1) y = x 2) y = x4 3) y = -2 x 1 +4 Graphing Quadratic Functions Quadratics are called Parabolas and look like the letter U when graphed 𝒚 = 𝒙𝟐 is the parent function Find the vertex and then make an XY table to find more points. Every one found has a reflection. 1) y = x2 2) y = x2 – 5 3) y = -(x + 4)2 + 3 Warm UP Graph: 1) y = -3x + 1 5) -3x + 2y > 6 2) x = -2 3) y = x2 + 3 4) y = x