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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Preview 7-1 The Coordinate PlaneThe Coordinate Plane 7-2 FunctionsFunctions 7-3 Graphing Linear EquationsGraphing Linear Equations 7-4 Graphing Quadratic EquationsGraphing Quadratic Equations 7-5 Cubic FunctionsCubic Functions 7-6 Rate of Change and SlopeRate of Change and Slope 7-7 Finding Slope of a LineFinding Slope of a Line 7-8 Interpreting GraphsInterpreting Graphs 7-9 Direct VariationDirect Variation Warm Ups
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Holt CA Course 2 1-1 Evaluating Algebraic Expressions 7-1 The Coordinate Plane Warm Up Graph each integer and its opposite on a number line. 1. 4 2. –7 3. –2 Graph each integer on a number line. 4. 7, –2, 0, 3, –5 1 2 3 4 5 6 7 8 –8–7–6 –5–4 –3 –2 –1 0 1 2 3 4 5 6 7 8 –8–7–6 –5–4 –3 –2 –1 0
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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Warm Up What three terms come next? 1. 9, 12, 15, 18,... 2. –8, –3, 2, 7, … 3. 9, 10, 12, 15, 19, … 21, 24, 27 12, 17, 22 24, 30, 37 7-2 Functions
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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Warm Up Interpret the graph. A rocket is fired into the air. Possible answer: The rocket’s speed increases until gravity gradually slows the rocket and causes it to fall to the ground. Rocket‘s Altitude Time y x 7-3 Graphing Linear Equations
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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Warm Up For each function, find the value of y for x = 0, x = 4, and x = –5. 1. y = 6x – 3 2. y = 3.8x – 12 3. y = 1.6x + 5.9 –3, 21, –33 –12, 3.2, –31 5.9, 12.3, –2.1 7-4 Graphing Quadratic Equations
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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Warm Up Graph each function. 1. y = 2x + 4 2. y = –x – 1 3. y = x 2 – 4 4. y = x 2 1212 7-5 Cubic Functions
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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Warm Up Graph each point on a coordinate plane. 1. (3, 4) 2. (4, 0) 3. (–2, –1) 4. (–3, 2) 5. (0, 1) 6. (2, –4) 7-6 Rate of Change and Slope
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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Warm Up Evaluate each equation for x = –1, 0, and 1. 1. y = 3x 2. y = x – 7 3. y = 2x + 5 4. y = 6x – 2 –3, 0, 3 –8, –7, –6 3, 5, 7 –8, –2, 4 7-7 Finding Slope of a Line
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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Warm Up Alessia walked to the store to buy some groceries. Tell whether her distance from home in each situation is best represented by a line with positive, negative, or zero slope. 1. Alessia stopped to tie her shoe. 2. Alessia walked from home to the store. 3. Alessia ran home from the store. zero positive negative 7-8 Interpreting Graphs
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Holt CA Course 2 1-1 Evaluating Algebraic Expressions Warm Up Tell whether the ratios are proportional. 1. = 2. = 3. = 4. = 6 9 24 36 yes 56 68 14 17 12 13 60 78 45 6 30 4 yes no yes ? ? ? ? 7-9 Direct Variation
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