Download 1062322Review Wkst 1.3-1.5

Algebra 2
Review 1.3-1.5
Name ______________________________ Per ____
Solve the equation. When necessary write your answer as a fraction in simplest form.
1. 4 – 6p = 7 + 3p
4.
2
3 4
x 
3
5 15
2. 4(k  2)  3(k  1)  7
5. 6n 
2
(5n  2)
3
3. 2(x + 1) = 4 – 3(2x + 1)
6. 1.5(4x – 2) = 2(0.5x – 3.5)
Solve the equation for the indicated variable. State any restrictions on the variables.
1
3
7. V  b 2 h ; solve for h
8. C 
5
 F  32  ; solve for F
9
9. S  L  rL ; solve for L
10. Two trains leave the station at the same time and travel in opposite directions. One train traveled three
times as fast as the other train. The trains were 800 miles apart after 4 hours. How fast did each train
travel? Write and solve an equation to represent the situation.
11. The bill from your plumber was $134. The cost for labor was $32 per hour. The cost for materials was $46.
How many hours did the plumber work? Write and solve an equation to represent the situation.
19. The sides of a triangle are in the ratio 8:12:15. The perimeter is 245 cm. Find the length of the sides.
Draw a picture. Write and solve an equation to represent the situation.
Solve the inequality or compound inequality. Graph your solutions on a number line.
3
x  5
2
13. 4  5x  2x  1
14. 7 
15. 5 x  3  3(2 x  4)  x
16. 1  4x  9  3
17.
x
 8  6 or 7  x  8
3
18. 3  5 
1
x7
2
19. The sum of three consecutive integers is at least 324. Find the smallest of the three numbers. Write and
solve an inequality to represent the situation.
20. You want to buy a new snowboard this season. You need between $130 and $200 total for a good board.
You have $72 and get paid $7.50 per hour. How many hours do you need to work to earn enough money?
Write and solve a compound inequality to represent the situation.
Solve the absolute value equation. MUST SHOW YOUR WORK!! Remember to check your solutions!
21. 2m  5  9
22. 2 8  3n  5  37
23. 5x  3  7 x  7
24. 3 2 x  5  3x  9
Solve the absolute value equation. Graph your solutions on a number line. MUST SHOW YOUR WORK!!
25. 4m  2  10
26. 15  5k  35
27. 3 2m  5  2  8
28. 3 y  5  6  16
29. An engineer is shaping a piece of metal for a new machine. It needs to be 24.5 mm with a tolerance of
0.05 mm. Write an absolute value inequality and a compound inequality to represent the acceptable
lengths of the metal piece.
30. You typically talk between 450 and 550 minutes on your cell phone each month. Write an absolute value
inequality and a compound inequality to represent the number of minutes you talk each month.