Download Homework Problems - May 09

Algebra 1: May Homework Problems
*Please do not write on this sheet of paper
[1] Monday, May 4: p.137-8 #1-4, 15-18
Directions: Solve.
1. 4x – 7 = 3x
2. 9x – 6 = 3x
3. 8x – 1 = 23 – 4x
4. 5y – 2 = 28 – y
15. 5r – (2r + 8) = 16
16. 6b – (3b + 8) = 16
17. 3g – 3 = 3(7 – g)
18. 3d – 10 = 5(d – 4)
[2] Tuesday, May 5: p.150 #1-4, 25-30
Directions: Solve these proportions.
1.
y
9

3 27
2.
7 m

8 4
3.
9 2

x 3
4.
25 1

75 x
Directions: Solve.
25. A car travels 150 km on 12 L of gasoline. How many liters of gasoline are needed to travel 500 km?
26. A baseball pitcher strikes out an average of 3.6 batters per 9 innings. At this rate, how many batters
would the pitcher strike out in 315 innings?
27. A watch loses 2 minutes every 15 hours. How much time will it lose in 2 hours?
28. A school has a policy that 2 adults must accompany every group of 15 students on school trips. How
many adults are needed to take 180 students on a trip?
29. Four shovels of sand are used for every 5 shovels of gravel in making concrete. How much gravel is
needed for 64 shovels of sand?
30. The ratio of international students to U.S. students at a college is 2 to 35. How many international
students are there if there are 1575 U.S. students?
[3] Wednesday, May 6: p.331 #13-16, 23-26
Directions: Write an equation for each line that contains the given pair of points.
13. (-6, 1) (2, 3)
14. (12, 16) (1, 5)
15. (0, 4) (4, 2)
16. (0, 0) (4, 2)
Directions: Write an equation for each line in slope-intercept form.
Thursday, May 7: p.350 #19-24
Directions: Write an equation for the line containing the given point and having the given slope.
19. (3, 5) m = 1
20. (-2, 0) m = -3
Directions: Write an equation for the line containing the two given points.
21. (1, 1) (2, -2)
22. (4, -1) (-4, -3)
Directions: Answer the questions about the scenario.
When an electronics company produces 1000 chips, it makes a profit of $10 per unit. When it
produces 5000 chips, the company makes a profit of $30 per unit. Assume that a linear relationship fits
these data.
23. Find the linear equation that fits these data.
24. Use the linear equation to predict the profit per unit if the company produced 10,000 chips.
Monday, May 11: p.326 #28-36. 41-42
Directions: Graph each line using the slope and y-intercept.
28. y = 2x + 3
29. y = -3x + 4
30. y = -x + 7
31. y 
2
x3
3
32. y 
3
x3
4
33. y 
1
x2
2
34. y 
1
x2
3
35. y 
2
x0
3
36. y 
3
x  3
5
41. 2 y  6 x  8
42. 4 y  2 x  12
Tuesday, May 12: p.539-540 #11-17
Directions: Find the indicated outputs for these functions.
11. g ( s)  2s  4 ; find g(1), g(-7), and g(6).
12. h( x)  19 ; find h(4), h(-6), and h(12).
13. F ( x)  2 x 2  3x  2 ; find F(0), F(-1), and F(2).
14. P( x)  3x 2  2 x  5 ; find P(0), P(-2), and P(3).
15. h( x)  x ; find h(-4), h(4), and h(-3).
16. f (t )  t  1; find f(-5), f(0), and f(-9).
17. f ( x)  x  2 ; find f(3), f(93), and f(-100).
Wednesday, May 13: p.174 #26-31, 33-35 & p.196 #15-20
Directions: Write the inequality shown by each graph.
Directions: Graph on a number line.
33. all values of x such that x < 3 and x > -1
34. all values of x such that x  4 and x  1
35. all values of x such that x  2 and x  5
Directions: Solve.
15. 3y + 4 < 25
16. 4a  9  2a  4
17. 14  8x  6x  36
18. 7  6 y  3 y  20
19. 6  5 y  3  4 y
20. 15a  3  12a  14
Thursday, May 14: p.397 #1-4, 18-20
Directions: Determine whether the given ordered pair is a solution of the system of equations.
1. (4, 2); x – y = 2
x+y=6
2. (-8, -7); x – 2y = 6
2x – 3y = 5
Directions: Solve by graphing.
3. x – y = 3
x+y=5
4. x + 2y = 6
2x – 3y = 26
Directions: Translate to a system of equations and solve.
18. The sum of two numbers is 8. Their difference is 12. Find the numbers.
19. A collection of dimes and quarters totals $3.55. There are 25 coins in all. How many quarters are
there?
20. Tickets to a junior high school play cost $1.10 for each adult and $0.40 for each child. If 360 tickets
were sold for a total of $282.60, how many tickets of each kind were sold?