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Algebraic Relationships Pt 2

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    Algebraic relationships
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  • 1. Which statements best describe the relationship between x and y in each of the sets?
    d. Table A shows an additive relationship in which y is 2 more than x. Table B shows a multiplicative relationship in which y is 2.5 times x.
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  • 2. Write the equation that best represents the table.
    y = x + 5 (P = F + 5)
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  • 3. Write the equation that best represents the graph.
    y = 30x (M = 30G)
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  • 4. Charlie baked 10 loaves of bread. He earned $6 for every loaf he baked. What equation can be used to find t, the total he earns from baking b loaves of bread?
    t = 6b
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  • 5. Groceries are delivered by a local service. Their charge is shown by the equation: c = g + 5.75. Which table correctly demonstrates this relationship?
    Table B
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  • 6. List the dependent quantities from the table.
    19, 21, 23, 25 [the bottom row of the table always has the dependent values]
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  • 7. List the dependent values from the table.
    7.50, 11.25, 18.75, 30.00 [the right side of the table always has the dependent values]
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  • 8. What is the independent variable in the graph?
    Gallons of Gas (G) [the x-axis is always the independent value]
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  • 9. Name the coordinates of the heart.
    (-3, 1)
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  • 10. Move the heart a horizontal distance of 4.5 units toward Quadrant I. What are the new coordinates?
    (1.5, 1)
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  • 11. Label the quadrants of the coordinate grid (I, II, III, IV).
    Top RIght - I, Top Left - II, Bottom Left - III, Bottom Right - IV
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  • 12. In which quadrant would you find positive x values and negative y values?
    Quadrant IV
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  • 13. What is the value of the expression shown?
    -35
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  • 14. A hiker hikes down into a canyon 15 feet. He climbs back up 3 feet to look at a rock. Next, he continues going down 28 feet to get to a pool of water. If he started at an elevation of 0, what is his new elevation?
    -40 feet
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