Name: ____________________________________________ Date: ________________________ Period: _______
Algebra 1 Final Review Fall: Chapter 4 Multiple Choice Identify the choice that best completes the statement or answers the question. 7. Which ordered pair represents where the graph of 5x – 2y = 10 intersects the y-axis? a. (0, –5) b. (–5, 0) c. (0, 2) d. (2, 0)
1. Which point is on the line 5x – 3y = –1? ÊÁ 1 2 ˆ˜ a. (1, 2) b. ÁÁÁÁ , ˜˜˜˜ c. (4, 7) d. all of the Ë5 3¯ above
3 8. Which point is on the line y = x – 5? 4 a. (4, 7) b. (4, –2) c. (0, 5) d. (–5, 0)
2. Which ordered pair represents the x-intercept of the line 4x – 3y = 12? a. (0, 3) b. (3, 0) c. (0, –4) d. (–4, 0)
9. What situation is most likely represented by the graph?
3. What is the equation of the line that passes through 2 the point (3, 2) and has a slope of – ? 3 2 2 a. y – 2 = (x – 3) b. y – 3 = (x – 2) c. y – 2 3 3 2 2 = – (x – 3) d. y – 3 = – (x – 2) 3 3
a. amount of tip money earned by a waiter every night b. price of a stock on the stock market c. wages of an hourly employee at a factory d. daily commissions earned by a real estate agent
4. What is the equation of the line that passes through the point (1, 4) and is parallel to 2x – y = 8? a. 2x – y = –2 b. 2x + y = 6 c. 2x – y = 4 d. x + 2y = 9
10. What is the equation of the line that passes through 3 the point (4, –2) with a slope of ? 4 a. 4x – 3y = 22 b. 4x + 3y = 10 c. 3x + 4y = 4 d. 3x – 4y = 20
5. The graph of a linear function contains the following data points.
11. What is the equation of the line that passes through the point (3, –1) and is perpendicular to the line 2x – 4y = 8? a. 2x – y = 7 b. x + 2y = 1 c. 2x + y = 5 d. x – 2y = 5 What is the slope of the line? 1 1 a. b. c. 5 d. 25 25 5
12. What is the slope of the line that passes through (a, b) and (–a, b). b b a. 0 b. c. d. undefined a 2a
6. Which point is not on the line 6x – 8y = –2? ÁÊ 1 1 ˜ˆ a. (1, 1) b. ÁÁÁÁ , ˜˜˜˜ c. (2, 2) d. (0.5, 0.625) Ë3 2¯
1
Name: ________________________ Write a direct variation equation that relates x and y. Assume that y varies directly as x. Then solve. 13. If y = –8 when x = 4, find y when x = –8. a. y = –2x; 8 b. y = 2x; –16 c. y = –3x; 16 d. y = –2x; 16 Find the slope of the line that passes through the pair of points. 14. (0, –4), (2, 5) 9 2 2 9 a. 2 b. 9 c. − 9 d. − 2
15. (1, –2), (–3, –5) a. −1 b. undefined c. 1 d.
3 4
Write an equation of the line with the given slope and y-intercept 18. A conveyor belt runs between floors of a building as pictured below. Find the slope of the belt as a positive number.
3
16. slope: 2 , y-intercept: –5 a. y = 2 x + 5 b. y = 2 x – 5 c. y = − 2 x – 5 3
3
3
2
d. y = 3 x – 5 17. slope: 2, y-intercept: 6 1 a. y = − 6 x + 6 b. y = 2x + 6 c. y = 2x – 6 d. y = –2x + 6
a. undefined b.
5 2
c.
2 5
d. 0
Write an equation of the line that passes through each point with the given slope. 19. ÊÁË −2, − 3 ˆ˜¯ , m = 2 a. y = 2x − 1 b. y = 2x + 1 c. y = −2x + 1 d. y = 2x + 7
20. ÊÁË 6, 7 ˆ˜¯ , m = 5 a. y = 5x − 36 b. y = 5x − 23 c. y = 5x + 23 d. y = −5x − 23
Write an equation of the line that passes through the pair of points. 21. ÊÁË 1, − 5ˆ˜¯ , ÊÁË 2, 3ˆ˜¯ a. y = 8x – 13 b. y = 8x + 13 c. y = −8x – 13 1 d. y = 8x + 13
22. ÊÁË −7, − 7ˆ˜¯ , ÊÁË −8, − 9 ˆ˜¯ a. y = 2x + 7 b. y = −2x + 7 c. y = 2x – 7 d. y = 2x – 17
2
Name: ________________________ Beach Bike Rentals charges $5.00 plus $0.20 per mile to rent a bicycle. 24. Write an equation for the total cost C of renting a bicycle and riding for m miles. a. C = 5 + 0.2m b. C = 0.2 + 5m c. m = 5 + 0.2C d. C = 5 + 2m
23. Graph the equation needed to represent the cost at Beach Bike Rentals. a.
25. What is the cost of renting a bike and riding 18 miles? a. $3.60 b. $41.00 c. $8.60 d. $11.60
b.
c.
d.
3
Name: ________________________ Write the point-slope form of an equation for a line that passes through the point with the given slope. 27. (–1, 3), m = − 7
26. (4, 2), m = 4 a. y – 2 = –4(x – 4) b. y – 2 = 4(x – 4) c. y + 2 = 4(x – 4) d. y – 2 = 4(x + 4)
4
a. y + 3 = − 7 (x + 1) b. y – 3 = 7 (x + 1) c. y – 3 4
4
= − 7 (x + 1) d. y – 3 = − 7 (x – 1) 4
4
Write each equation in standard form. 29. y + 8 = − 4 (x + 6)
28. y – 4 = (x + 6) a. y = x + 10 b. x + y = 10 c. x – y = –10 d. x – y = 2
3
a. y = − 4 x – 3
25 2
b. 3x – 4y = –50 c. 3x + 4y =
–50 d. 3x + 4y = 14 Write the equation in slope-intercept form. 1
30. y + 3 = 3 (x – 3) a. y = − 3 x – 4 b. y = 3 x – 4 c. y = 3 x + 1
1
1
1 4
1
d. y = 3 x + 4
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation. 31. (4, –1), y = − 2 x + 5
32. (5, 2), 5x + 2y = 10 5 29 5 a. y = − 2 x + 2 b. y = − 2 x –
3
a. y = − 2 x + 5 b. y = 3 x + 3
d. y = 5x +
2
10 3
c. y = − 2 x – 5 3
2
d. y = 5 x +
3 2
29 2
c. y =
29 2
x+
29 3
Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the graph of the equation. 33. (5, 2), 2x + 4y = –8 9 a. y = 2x – 8 b. y = 2 x –
1 2
c. y = − 2 x – 1
18 5
d. y = −2x – 8
4
5 2
