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Algebraic Relationships Pt 2
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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
13. What is the value of the expression shown?
-35
12. In which quadrant would you find positive x values and negative y values?
Quadrant IV
11. Label the quadrants of the coordinate grid (I, II, III, IV).
Top RIght - I, Top Left - II, Bottom Left - III, Bottom Right - IV
10. Move the heart a horizontal distance of 4.5 units toward Quadrant I. What are the new coordinates?
(1.5, 1)
9. Name the coordinates of the heart.
(-3, 1)
8. What is the independent variable in the graph?
Gallons of Gas (G) [the x-axis is always the independent value]
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]
6. List the dependent quantities from the table.
19, 21, 23, 25 [the bottom row of the table always has the dependent values]
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
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
3. Write the equation that best represents the graph.
y = 30x (M = 30G)
2. Write the equation that best represents the table.
y = x + 5 (P = F + 5)
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.