HUSD Middle School Algebra I Final Assessment Study Guide
HUSD Middle School Algebra I Final Assessment Study Guide
HUSD Middle School Algebra I Final Assessment Study Guide
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<strong>HUSD</strong> <strong>Middle</strong> <strong>School</strong> <strong>Algebra</strong> I<strong>Final</strong> <strong>Assessment</strong> <strong>Study</strong> <strong>Guide</strong>5Write the equation of the line with a slope of2 and passing through the point .5PracticeWrite the equation of each line.Use the point slope form of a line, m is theslope and10) Find the equation of the line passingthrough the point and no slope.11) Find the equation of the line passingthrough the point with aslope of 0.Given y = ax 2 + bx + c for constants a and b.12) Slope is and passes through thepointis a horizontal line with ais a vertical line with no slope(undefined slope)13) Passes through the points6.0, 7.06Finding parallel and perpendicular slopesThe slope of line l is – 2 which also can bewritten6Practice:Find the slope that satisfies each conditionLine m is given by the equationA line parallel to line l has the same slope soA line perpendicular to line l has the slopesuch that :14) Find the slope of the line parallelto line m15) Find the slope of the line perpendicularto line m.7.0,8.0Page 3 of 9 MDC@ACOE (<strong>HUSD</strong>) 05/03/10
<strong>HUSD</strong> <strong>Middle</strong> <strong>School</strong> <strong>Algebra</strong> I<strong>Final</strong> <strong>Assessment</strong> <strong>Study</strong> <strong>Guide</strong>7Solving systems of equations:Method 1: Graphing7PracticeSolve the systems by graphingSolve the system:Graphby finding intercepts16)Draw the line usingGraphusing slope & y-intercept17)Identify the point of intersectionis the solution to9.08Method 2: SubstitutionSolve the system:8PracticeSolve by substitution:Solve for one variableEq. 118)Substitution- Substitute for y in Eq. 2Solve for xSubstitutefor y19)is the solution to the system9.0Page 4 of 9 MDC@ACOE (<strong>HUSD</strong>) 05/03/10
<strong>HUSD</strong> <strong>Middle</strong> <strong>School</strong> <strong>Algebra</strong> I<strong>Final</strong> <strong>Assessment</strong> <strong>Study</strong> <strong>Guide</strong>13Solve the equation by using the quadraticformula:13PracticeSolve for x:Standard formIdentify a, b, c35)Substitute36)Simplify37)38)20.014Compound InequalitiesSolve and GraphExample 114PracticeSolve and graph each inequality or equation:39)40)41)Example 242)43)14.0Page 7 of 9 MDC@ACOE (<strong>HUSD</strong>) 05/03/10
<strong>HUSD</strong> <strong>Middle</strong> <strong>School</strong> <strong>Algebra</strong> I<strong>Final</strong> <strong>Assessment</strong> <strong>Study</strong> <strong>Guide</strong>15Graphing Quadratics:Graph the function15PracticeGraph the functions:1 st Find the vertexFind the x-coordinate of the vertex44)45)Find the y-coordinate of the vertex by substitutingthe x-coordinate into the equation and solve for y.46)2 nd Make a table of values.Choose points on both sides of the vertexxy10-1 -3-23 rd Graph the parabola17.0, 21.0Page 8 of 9 MDC@ACOE (<strong>HUSD</strong>) 05/03/10
<strong>HUSD</strong> <strong>Middle</strong> <strong>School</strong> <strong>Algebra</strong> I<strong>Final</strong> <strong>Assessment</strong> <strong>Study</strong> <strong>Guide</strong><strong>Algebra</strong> 1 <strong>Study</strong> <strong>Guide</strong> Answer Key1) 16) 31)2) 17) 32)x = 2 3 , x = 13) 18) 33) No Solution4) 19) 34)5)20)35)x =−3 ± 292x = −1, x = 5 36)21)36)There are 300 nickels and100 dimes.7) 22) ( 4, − 3) 37)8) 23) 38)9) No slope, undefined 24) 39)slope10) 25) 40)11) 26) 41)12) 27) 42)13) y = 2x +1 28) 43)14) 29)15) 30)44) 45) 46)Page 9 of 9 MDC@ACOE (<strong>HUSD</strong>) 05/03/10
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