Algebra B: Chapter 5 Review

Algebra B: Chapter 5 Review 1. Write an equation of the line with slope

and y-intercept –3.

2. Write an equation of the line shown.

Write an equation for the function in the form 3. 4.

.

, ,

5. Roman paid $150 to join a handball club. He pays an additional $15 every time he uses one of the club's handball courts. Write an equation that describes Roman's total cost for playing handball as a function of the number of times he plays. Let C = the total cost and n = the number of times he plays. ____

6. Erik pays $225 in advance on his account at the athletic club. Each time he uses the club, $9 is deducted from the account. Write an equation that represents the value remaining in his account after x visits to the club. Find the value remaining in the account after 7 visits. a. V = 225 – 9x; $162 c. V = 225 – 9x; $2032 b. V = 9 – 225x; $162 d. V = 225 – 9x; $2046

____

7. In 1980 the average price of a home in Brainerd County was $97,000. By 1986 the average price of a home was $109,000. Write a linear model for the price of a home, P, in Brainerd County as a function of the year, t. Let t = 0 correspond to 1980. a. c. b. d. 8. A real estate sales agent receives a salary of $250 per week plus a commission of 2% of sales. Write an equation that gives the weekly income y in terms of sales x.

____

9. Choose an equation, in slope-intercept form, that passes through point (3, 1) with slope 3. a. b. c. d. 10. Find the y-intercept of a line that passes through

and has a slope of –1.

11. Find the y-intercept of a line that passes through

and has a slope of

12. Write an equation of a line that passes through the point (3, –2) with a slope of 13. Write an equation for the line containing

and

.

.

.

14. Write the equation in slope-intercept form of the line that passes through the points (–3, 5) and (2, –5). Write an equation for the linear function f in the form 15.

that has the given values.

,

16. A grocer knows that if he sells his canned hams for $7 each, he can sell 550 per month, and if he sells the same hams for $9, he will sell 350 per month. Assuming the relationship between price and sales is linear, write an equation you could use to predict sales for other prices. 17. Write the standard form of the equation of the line with slope -4 passing through the point (–3, 2). 18. Write the equation of the line passing through (2, –7), (10, -7), and (-12, -7). 19. Write the equation of the line passing through (1, –12), (1, 92), and (1, –2). 20. Write the equation of the horizontal line passing through the point (-17, 15). 21. Write the equation of the vertical line passing through the point (15, -2). Write an equation in standard form of the line that passes through the given point and has the given slope m or that passes through the two given points. 22. 23. 24. Write an equation of the line that passes through (2, 1) and is parallel to the line

.

____ 25. Write an equation of the line that passes through (-2, 3) and is parallel to the line a. b. c. d.

.

26. Determine if the table below represents a linear relation. If so, write an equation of the line that is represented by the data in the table. If not, state the reason it is not linear. x y

1 8

2 11

3 14

4 17

6 23

7 26

8 30

9 33

10 36

11 39

27. Determine if the table below represents a linear relation. If so, write an equation of the line that is represented by the data in the table. If not, state the reason it is not linear.

x y

1 9

2 15

3 21

4 27

6 39

7 45

8 51

9 57

10 63

11 69

____ 28. What type of relationship is shown by the scatter plot?

a. strong negative correlation b. relatively no correlation

c. weak negative correlation d. strong positive correlation

29. The table shows the lengths (in inches) of winning zucchini lengths at a state fair during the period 1986-1995. Year Length (in.)

1986 32.4

1987 32.6

1988 29.9

1989 33.2

1990 34.0

1991 34.3

1992 35.2

1993 36.9

1994 34.4

1995 35.3

a. Make a scatter plot of the data. Let x represent the number of years after 1985 and y represent the winning length that year. b. Use technology to perform a linear regression. What is the equation of the linear regression model? Graph the equation on the scatter plot for part (a). c. Predict the winning length for the year 2000.