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Chapter 2 Algebra Review



Short Answer
 

 1. 

Evaluate mc001-1.jpg for x = –3.
 
 
Graph the function.
 

 2. 

mc002-1.jpg
 

 3. 

mc003-1.jpg
 

 4. 

Use the table to make a scatter plot of the temperature and the number of ice cream cones sold at the school cafeteria. Identify any correlation.
Temperature
Number of Cones Sold
59
58
76
83
94
102
67
73
85
99
74
78
97
107
 

 5. 

Find the range of sa005-1.jpg for the domain {–3, –2, –1, 1}.
 
 
Use the vertical line test to determine whether the relation is a function.
 

 6. 

sa006-1.jpg
sa006-2.jpg
 
 
Is the relation a function? Explain.
 

 7. 

{(2, 15), (15, –4), (–9, –7), (13, 14)}
 

 8. 

{(–5, –5), (3, 10), (7, 14), (3, 9)}
 

 9. 

If you know the number of yards for a measurement, you can change that measure to meters by multiplying the number of yards by 0.9144.
a. Write a function rule that relates meters to yards.
b. How many meters are equivalent to 7,200 yards? Round your answer to the nearest hundredth, if necessary.
c. How many yards are equivalent to 2,500 meters? Round your answer to the nearest hundredth, if necessary.
 

 10. 

Is there a positive correlation, a negative correlation, or no correlation in the scatter plot? Explain the relationship between the data on the horizontal axis and the data on the vertical axis.
sa010-1.jpg
 
 
Write a function rule for the table.
 

 11. 


x
f(x)
2
–2
3
–1
4
0
5
1
 
 
Graph the linear equation.
 

 12. 

y = 3x + 4
 

 13. 

y = –2x – 2
 

 14. 

The scatter plot shows the number of students per class at Monida Middle School and the number of magazine subscriptions each class sold for a fund-raiser. About how many subscriptions did the class of 20 students sell?
mc014-1.jpg
 

 15. 

The graph below shows your speed at different times riding a bicycle uphill, downhill, and on level pavement.
mc015-1.jpg

a.For how long were you going uphill?
b.For how long were you going downhill?
c.For how long were you riding on level pavement?
 

Essay
 

 16. 

Ayesha is a gardener who makes square gardens in various sizes. The table shows the side lengths, in feet, and the areas of various gardens, in square feet.
Side Length (feet)
Area (square feet)
14
196
18
324
22
484
26
676
30
900
a. Write the values from the table as a set of ordered pairs (side length, area).
b. Graph the relation. Describe the graph and explain whether it is a function.
c. Describe the relationship between the side length and the area of the gardens.
d. Suppose the area of a garden is 3,600 square feet. Describe how to find the side length of the garden.
 

 17. 

On one evening at 6 P.M., the temperature was 24es017-1.jpgF. As the night progressed, the temperature dropped at the steady rate of 4es017-2.jpgF per hour.
a. Make a table of values for the function for values of x from 0 through 8. Let 0 represent the time of 6 P.M.
b. Write a function rule for the linear function. Explain your method for writing the rule.
c. At what time will the temperature reach 0es017-3.jpgF? Explain your method for finding the time.
 

Other
 

 18. 

The graph below shows the average daily temperature over the period of a year. Explain how each labeled section of the graph relates to the four seasons.

ot018-1.jpg
 



 
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