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2023 Algebra 1 SOL Vocabulary & Strategy Guide

Aarthi Vadhanam Math 9th grade Englisch 133 Karten 1.014 Aufrufe

2023 Algebra 1 SOL Vocabulary & Strategy Guide

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  1. 1Translating Expressions Translate from left to right unless you see a...turn-around phrase
  2. 2Translating Expressions Examples of turn-around phrases are...less than
    subtracted from
    reduced by
    fewer than
    decreased by
    lower than
  3. 3Translating Expressions Sum of, difference of, product of all mean we should use...parentheses
  4. 4Translating Expressions Translate the following: Two times the sum of a number and four2(x + 4)
  5. 5Translating Expressions Translate the following: Five less than a number squaredx² - 5
  6. 6Translating Expressions Write an expression forThe square root of a number divided by 3Translating Expressions Write an expression for
  7. 7Evaluating Expressions In Desmos, how do you make... √1) Type "sqrt" or
    2) find the symbol on the Desmos keypad
  8. 8Evaluating Expressions In Desmos, how do you make... ∛1) Type "cbrt" or
    2) open the Desmos keypad -> click functions -> scroll to bottom
  9. 9Evaluating Expressions In Desmos, how do you make... absolute value bars (| |)Open the Desmos keypad and look forEvaluating Expressions In Desmos, how do you make... absolute value bars (| |)
  10. 10Evaluating Expressions In Desmos, how do you make... an exponent1) Keyboard: shift and 6 (to get ^)
    2) Desmos keypad: click the button    Evaluating Expressions In Desmos, how do you make... an exponent
  11. 11Evaluating Expressions In Desmos, how do you make... a big fractionClick the divide key on the Desmos keypad or click / on your keyboard
  12. 12Evaluating Expressions What letters can you make into sliders?Any letter except x or y
  13. 13Evaluating Expressions What if you need to set the letter equal to 15 and you can't slide it that far?Click into the number and change itEvaluating Expressions What if you need to set the letter equal to 15 and you can't slide it that far?
  14. 14Square Roots What does simplest form mean?smallest number/coefficient INSIDE the radical
  15. 15Square Roots Which is simpler? Why? √32 or 4√24√2 because 2 is smaller than 32
  16. 16Square Roots Simplify: √150Square Roots Simplify: √150
  17. 17Square Roots TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARDSquare Roots TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARDSquare Roots TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
  18. 18Cube Roots & Radical Operations How do you create a cube root?1) Type "cbrt" or
    2) open the Desmos keypad -> click functions -> scroll to bottom
  19. 19Cube Roots & Radical OperationsAfter he typed 4, CLICK OUT of the radical before typing - 6Cube Roots & Radical Operations
  20. 20Cube Roots & Radical Operations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARDCube Roots & Radical Operations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARDCube Roots & Radical Operations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
  21. 21Equations & Word Problems How do you use Desmos to solve an equation?First...type the equation into Desmos
    Then...look for the vertical line
    Finally...click the point on the line. x= that number
  22. 22Equations & Word Problems The solution is also the...x-intercept
  23. 23Equations & Word Problems Which letter must you use for the variable?only x
  24. 24Equations & Word Problems Solve: 3(x + 1) = 5 + xEquations & Word Problems Solve: 3(x + 1) = 5 + x
  25. 25Equations & Word Problems Write an equation: Jaycin went bowling recently with her friends. Shoe rental was $2.50 and games were $1.75 each. If she spent $7.75 on shoe rental and games, how many games did she bowl?x = games
    2.50 + 1.75x = 7.75
    3 games
  26. 26Literal Equations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD Solve for x: 180 = 2x + yLiteral Equations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD Solve for x: 180 = 2x + y
  27. 27Systems of Equations The solution to two or more equations is where the lines...intersect/cross/meet
  28. 28Systems of Equations How many solutions?One solutionSystems of Equations How many solutions?
  29. 29Systems of Equations How many solutions?No solutions,
    parallel lines    Systems of Equations How many solutions?
  30. 30Systems of Equations How many solutions?Infinite solutions,
    same line    Systems of Equations How many solutions?
  31. 31Systems of Equations The solution is represented as an _____________________ that satisfies both equations.ordered pairSystems of Equations The solution is represented as an _____________________ that satisfies both equations.
  32. 32Systems of Equations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD a + b = 7 2a + 3b = 10Type into Desmos using x and y!
    x + y = 7
    2x + 3y = 10
    Solution is (11,-4)
  33. 33Systems of Equations Word Problems Dashawn paid $54 for 3 large candles and 4 small candles. Niya paid $60 for 1 large candle and 8 small candles. How much did each small candle cost?Systems of Equations Word Problems Dashawn paid $54 for 3 large candles and 4 small candles. Niya paid $60 for 1 large candle and 8 small...
  34. 34Systems of Equations Word Problems Aaliyah sold a total of 10 baked goods. Each cookie costs $1.25 and each brownie costs $2.50. Aaliyah made $20 at the bake sale. How many cookies did Aaliyah sell?Systems of Equations Word Problems Aaliyah sold a total of 10 baked goods. Each cookie costs $1.25 and each brownie costs $2.50. Aaliyah ...
  35. 35One-Variable Inequalities Graph an inequality in Desmos using the variable...x
  36. 36One-Variable Inequalities Write the inequality for the graphx > 8One-Variable Inequalities Write the inequality for the graph
  37. 37One-Variable Inequalities Write the inequality for the graphx < 8One-Variable Inequalities Write the inequality for the graph
  38. 38A.5a One-Variable Inequalities Write the inequality for the graphx ≤ 8A.5a One-Variable Inequalities Write the inequality for the graph
  39. 39One-Variable Inequalities Write the inequality for the graphx ≥ 8One-Variable Inequalities Write the inequality for the graph
  40. 40One-Variable Inequalities TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD Find the answer to the inequality -4(x - 7) + 1 ≤ -3Type in Desmos!
    x ≥ 8
  41. 41One-Variable Inequalities Graph the solution on the number line.One-Variable Inequalities Graph the solution on the number line.
  42. 42Inequality Word Problems What words represent Less than <fewer than
    below
    under
  43. 43Inequality Word Problems What words represent Greater than >more than
    over
    above
    exceeds
  44. 44Inequality Word Problems What words represent Less than or equal to ≤no more than
    not above
    at most
    limit
    does not exceed
    not over
    maximum
    total
  45. 45Inequality Word Problems What words represent Greater than or equal to ≥at least
    no fewer
    no less
    not under
    not below
    minimum
  46. 46Inequality Word Problems The owner of a new restaurant is designing its floor plan. His goal is to have a seating capacity of at least 368 customers. The small tables can seat 2 customers, while the large tables can seat 5 customers.Inequality Word Problems The owner of a new restaurant is designing its floor plan. His goal is to have a seating capacity of at least 36...
  47. 47Two-Variable Inequalities Is the point a solution?YES it's in the shaded regionTwo-Variable Inequalities Is the point a solution?
  48. 48Two-Variable Inequalities Is the point a solution?NO it's on a dotted lineTwo-Variable Inequalities Is the point a solution?
  49. 49Two-Variable Inequalities Is the point a solution?YES it's on a solid lineTwo-Variable Inequalities Is the point a solution?
  50. 50Two-Variable Inequalities Is the point a solution?YES it's on solid lines near the darkest areaTwo-Variable Inequalities Is the point a solution?
  51. 51Two-Variable Inequalities Is the point a solution?NO it's on a dashed lineTwo-Variable Inequalities Is the point a solution?
  52. 52Two-Variable Inequalities Is the point a solution?NO it's not in the darkest areaTwo-Variable Inequalities Is the point a solution?
  53. 53Two-Variable Inequalities Is the point a solution?NO it's not in the shaded areaTwo-Variable Inequalities Is the point a solution?
  54. 54Two-Variable Inequalities Is the point a solution?NO it's not in the darkest areaTwo-Variable Inequalities Is the point a solution?
  55. 55Two-Variable Inequalities Is the point a solution?YES it's on a solid line in the darkest areaTwo-Variable Inequalities Is the point a solution?
  56. 56Slope Slope is always...in front of the x when the equation says y=
  57. 57Slope What is the slope formula?m =Slope What is the slope formula?
  58. 58Slope Substitute into the slope formula (3, -5) and (-4, -7)Slope Substitute into the slope formula (3, -5) and (-4, -7)
  59. 59Slope Slope is also ______/________ and ___________ of ___________rise/run
    and
    rate of change
  60. 60Slope Find the slopeSlope Find the slopeSlope Find the slope
  61. 61Slope Which equations represents the line that passes through the points (-4, 4) and (8, -2)?Slope Which equations represents the line that passes through the points (-4, 4) and (8, -2)?Slope Which equations represents the line that passes through the points (-4, 4) and (8, -2)?
  62. 62SlopeSlopeSlope
  63. 63Linear Equations Parallel looks like...never intersecting,
    same slope and
    different y-intercepts    Linear Equations Parallel looks like...
  64. 64Linear Equations Equations of perpendicular lines have...opposite reciprocal slope and look like
    lines intersecting at a 90 degree angle    Linear Equations Equations of perpendicular lines have...
  65. 65Linear Transformations Slopenumber in front of x
  66. 66Linear Transformations Y-interceptnumber added or subtracted to x
  67. 67Linear TransformationsLinear TransformationsLinear Transformations
  68. 68Linear TransformationsLinear TransformationsLinear Transformations
  69. 69Linear TransformationsLinear TransformationsLinear Transformations
  70. 70Linear TransformationsLinear TransformationsLinear Transformations
  71. 71Linear TransformationsLinear TransformationsLinear Transformations
  72. 72Linear Transformations The parent linear function is...f(x) = x
  73. 73Polynomials TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARDPolynomials TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARDPolynomials TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
  74. 74Polynomials 1. Type in the _________ 2. Type in all four answer options 3. Click the _________ on the left to view each graph one by one1. Type in the PROBLEM
    2. Type in all four answer options
    3. Click the COLORS on the left to view each graph one by one
  75. 75Polynomials How do you use Desmos to solve? First...Type in the problem and answers into separate rows
  76. 76Polynomials How do you use Desmos to solve? Then...put =5 at the end of all rows (or some other number greater than 3)
  77. 77Polynomials How do you use Desmos to solve? Finally...compare the curves to match the correct answer to the problem!
  78. 78Polynomials TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARDPolynomials TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARDPolynomials TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
  79. 79Quadratic Functions All quadratic functions have __________ and they look like a ____________.All quadratic functions have x² and they look like a U.
  80. 80Quadratic FunctionsQuadratic FunctionsQuadratic Functions
  81. 81Quadratic FunctionsQuadratic FunctionsQuadratic Functions
  82. 82Quadratic FunctionsQuadratic FunctionsQuadratic Functions
  83. 83Quadratic Functions What four words mean the same thing?zero = solution = root = x-intercept
  84. 84Quadratic Functions They are all looking for where our graph cross the __________x-axis
  85. 85Quadratic Functions Find the zerosThe graph crosses the x-axis at
    x = -4 and x = 2    Quadratic Functions Find the zeros
  86. 86Factors and Zeros Factors and zeros have ___________________opposite signs
  87. 87Factors and Zerosx = -3 and x = 1Factors and Zeros
  88. 88Factors and Zeros(x - 2)(x - 4)Factors and Zeros
  89. 89Factors and Zeros(x + 1)(x - 5)
    x = -1 and x = 5    Factors and Zeros
  90. 90Factoring & Quadratic Functions Factors and their functions have common _____________x-intercepts
  91. 91Factoring & Quadratic FunctionsB. (3x + 1) has the same x-intercept as the problemFactoring &amp; Quadratic Functions
  92. 92Functions A function never repeats the ____________________x-values
  93. 93Functions Is this a function or not?NO, the x-value of 0 repeatsFunctions Is this a function or not?
  94. 94Functions Is this a function or not?NO, the x-value of 2 repeatsFunctions Is this a function or not?
  95. 95Functions Is this a function or not?YES, no x-value repeatsFunctions Is this a function or not?
  96. 96Functions Is this a function or not?NO, fails the vertical line test.
    X-values of 1 and 2 repeats    Functions Is this a function or not?
  97. 97Functions Is this a function or not?YES, passes the vertical line test
    no x-value repeats    Functions Is this a function or not?
  98. 98Domain and Range Domain represents...x-values
  99. 99Domain and Range Range represents...y-values
  100. 100Domain and Range For domain, scan the graph from...left to right
  101. 101Domain and Range For range, scan the graph from...bottom to top
  102. 102Domain and Range Domain is...ℝ= all real numbers
    (-∞, ∞)    Domain and Range Domain is...
  103. 103Domain and Range Range is...{ y | y ≥ -4 }
    [-4, ∞)    Domain and Range Range is...
  104. 104Exponential Functions Exponential Functions have an ________ in the ________________.x in the exponent
  105. 105Exponential Functions They look likeCurve that approaches the x-axisExponential Functions They look like
  106. 106Exponential Functions How do you know that a table represents an exponential function?the y-values change by a common multiplier
  107. 107Function Transformations Shift up or downadd or subtract outside x
  108. 108Function Transformations Stretch or compressmultiply or divide
  109. 109Function Transformationsshift up by 4Function Transformations
  110. 110Function Transformationsstretch by a factor of 3Function Transformations
  111. 111Function Transformationsshift down by 4Function Transformations
  112. 112Function TransformationsCompress by a factor of 1/3Function Transformations
  113. 113Function Transformations Reflect over x-axisnegative in front of expressionFunction Transformations Reflect over x-axis
  114. 114Matching Tables to Graphs/Equations How do you create a table in Desmos?Type "table" OR
    click the + button in the top left corner and click table
  115. 115Matching Tables to Graphs/Equations If you can't see the points in Desmos, what should you do?Click the magnifying glass in the blue column next to your tableMatching Tables to Graphs/Equations If you can't see the points in Desmos, what should you do?
  116. 116Matching Tables to Graphs/Equations When you graph the correct equation, what will it look like with the points?The correct equation will either
    -go through ALL the points
    OR
    -be the best match for the points out of ALL the answer options
  117. 117Comparing FunctionsgComparing FunctionsComparing Functions
  118. 118Comparing FunctionsComparing FunctionsComparing Functions
  119. 119Comparing FunctionsComparing FunctionsComparing Functions
  120. 120Comparing FunctionsComparing FunctionsComparing Functions
  121. 121Comparing FunctionsComparing FunctionsComparing Functions
  122. 122Scatterplots & Data Cycle What type of pattern do the points follow?Linear
  123. 123Scatterplots & Data Cycle What type of association do the points have?negative
  124. 124Scatterplots & Data Cycle How strong of association do the points have?strong
  125. 125Scatterplots & Data Cycle As age increases, the number of accidents_____decreases
  126. 126Scatterplots & Data Cycle How many accidents might be associated with drivers 25 years old?8
  127. 127Scatterplots & Data Cycle A data point of 12 accidents per 100 drivers might correlate with which age?23
  128. 128Scatterplots & Data Cycle Which question below could a researcher have asked to collect this data?How often are drivers of different ages involved in car accidents?
  129. 129Line of Best Fit y = ________x + __________y = -2.14x + -0.4
  130. 130Curve of Best Fit y = ______x² + ______x + ________y = 0.98x² + -1.95x + 3.2
  131. 131Test Taking Skills/Strategies Did I __________each direction & question carefully and ___________?Did I READ each direction & question carefully and COMPLETELY?
  132. 132Test Taking Skills/Strategies What information do I see? ( _________, graphs, _________ or points)What information do I see? (EQUATIONS, graphs, TABLES or points)
  133. 133Test Taking Skills/Strategies What are the keywords that I see? (________, highlight, ________ with a different word/synonym)What are the keywords that I see?
    (CIRCLE, highlight, REPLACE with a different word/synonym)

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Beschreibung
accompanies booklet
Erstellt von
Aarthi Vadhanam
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  • Erstellt von Aarthi Vadhanam · 7 Dez 2022
  • Kopiert von Aarthi Vadhanam · 22 Okt 2025
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